1546937625.799 * [misc]progress: [Phase 1 of 3] Setting up. 1546937625.800 * * * [misc]progress: [1/2] Preparing points 1546937625.800 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1546937625.892 * * * * [misc]points: Filtering points with unrepresentable outputs 1546937625.892 * * * * [misc]points: Sampling 85 additional inputs, on iter 1 have 171 / 256 1546937625.916 * * * * [misc]points: Filtering points with unrepresentable outputs 1546937625.916 * * * * [misc]points: Sampling 21 additional inputs, on iter 2 have 235 / 256 1546937625.927 * * * * [misc]points: Filtering points with unrepresentable outputs 1546937625.927 * * * * [misc]points: Sampling 7 additional inputs, on iter 3 have 249 / 256 1546937625.935 * * * * [misc]points: Filtering points with unrepresentable outputs 1546937625.935 * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 255 / 256 1546937625.944 * * * * [misc]points: Filtering points with unrepresentable outputs 1546937625.944 * * * * [exit]points: Sampled 258 points with exact outputs 1546937625.945 * * * [misc]progress: [2/2] Setting up program. 1546937625.953 * [misc]progress: [Phase 2 of 3] Improving. 1546937625.953 * * * * [misc]progress: [ 1 / 1 ] simplifiying candidate # 1546937625.953 * [enter]simplify: Simplifying (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) 1546937625.954 * * [misc]simplify: iters left: 6 (17 enodes) 1546937625.959 * * [misc]simplify: iters left: 5 (29 enodes) 1546937625.968 * * [misc]simplify: iters left: 4 (56 enodes) 1546937626.008 * * [misc]simplify: iters left: 3 (186 enodes) 1546937626.117 * [exit]simplify: Simplified to (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R) 1546937626.117 * [misc]simplify: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) R)) 1546937626.126 * * [misc]progress: iteration 1 / 4 1546937626.127 * * * [misc]progress: picking best candidate 1546937626.135 * * * * [misc]pick: Picked # 1546937626.135 * * * [misc]progress: localizing error 1546937626.197 * * * [misc]progress: generating rewritten candidates 1546937626.197 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1546937626.241 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 2 2) 1546937626.244 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1 2) 1546937626.247 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1) 1546937626.294 * * * [misc]progress: generating series expansions 1546937626.294 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1546937626.295 * [misc]backup-simplify: Simplify (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) into (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) 1546937626.295 * [misc]approximate: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0 1546937626.295 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi2 1546937626.295 * [misc]taylor: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi2 1546937626.295 * [misc]taylor: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi2 1546937626.295 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi2 1546937626.295 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 1546937626.295 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1546937626.296 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1546937626.296 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.296 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.296 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 1546937626.296 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.296 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.296 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.296 * [misc]backup-simplify: Simplify 0 into 0 1546937626.296 * [misc]backup-simplify: Simplify 1 into 1 1546937626.296 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 1546937626.296 * [misc]backup-simplify: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1546937626.296 * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1546937626.296 * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1546937626.296 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 1546937626.296 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 1546937626.297 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.297 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 1546937626.297 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in phi2 1546937626.297 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937626.297 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.297 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi2 1546937626.297 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi2 1546937626.297 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.297 * [misc]backup-simplify: Simplify 0 into 0 1546937626.297 * [misc]backup-simplify: Simplify 1 into 1 1546937626.297 * [misc]taylor: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi2 1546937626.297 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 1546937626.297 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in phi2 1546937626.297 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937626.297 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.297 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 1546937626.297 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1546937626.297 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1546937626.297 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.297 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 1546937626.297 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.297 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.298 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.298 * [misc]backup-simplify: Simplify 0 into 0 1546937626.298 * [misc]backup-simplify: Simplify 1 into 1 1546937626.298 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 1546937626.298 * [misc]backup-simplify: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1546937626.298 * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1546937626.298 * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1546937626.298 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 1546937626.298 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 1546937626.298 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.299 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 1546937626.299 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi2 1546937626.299 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.299 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.299 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi2 1546937626.299 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi2 1546937626.299 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937626.299 * [misc]backup-simplify: Simplify 2 into 2 1546937626.299 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi2 1546937626.299 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.299 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.299 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.299 * [misc]backup-simplify: Simplify 0 into 0 1546937626.299 * [misc]backup-simplify: Simplify 1 into 1 1546937626.299 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi2 1546937626.299 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937626.299 * [misc]backup-simplify: Simplify 2 into 2 1546937626.299 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi2 1546937626.299 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 1546937626.299 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1546937626.299 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1546937626.299 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.299 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 1546937626.299 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.299 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.299 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.299 * [misc]backup-simplify: Simplify 0 into 0 1546937626.299 * [misc]backup-simplify: Simplify 1 into 1 1546937626.299 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 1546937626.300 * [misc]backup-simplify: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1546937626.300 * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1546937626.300 * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1546937626.300 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 1546937626.300 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 1546937626.300 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.300 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 1546937626.300 * [misc]taylor: Taking taylor expansion of (* lambda2 lambda1) in phi2 1546937626.300 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937626.300 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.300 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937626.300 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.301 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 1546937626.301 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937626.301 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) 1546937626.301 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937626.301 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 1546937626.301 * [misc]backup-simplify: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) 1546937626.301 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937626.301 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 1546937626.302 * [misc]backup-simplify: Simplify (+ 0 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 1546937626.302 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) 1546937626.303 * [misc]backup-simplify: Simplify (* phi1 0) into 0 1546937626.303 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546937626.303 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 1546937626.303 * [misc]backup-simplify: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 1546937626.303 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 phi1)) 2) (* lambda2 lambda1)) into (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)) 1546937626.303 * [misc]backup-simplify: Simplify (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 1546937626.304 * [misc]backup-simplify: Simplify (+ 0 (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 1546937626.304 * [misc]backup-simplify: Simplify (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 1546937626.305 * [misc]backup-simplify: Simplify (+ (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 1546937626.306 * [misc]backup-simplify: Simplify (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) 1546937626.306 * [misc]backup-simplify: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 1546937626.307 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.307 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 1546937626.307 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.307 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 1546937626.309 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937626.309 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 1546937626.309 * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 1546937626.309 * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 1546937626.310 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 1546937626.310 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (pow lambda1 2))) into (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) 1546937626.310 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.310 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 1546937626.311 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.311 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 1546937626.312 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937626.312 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 1546937626.312 * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 1546937626.312 * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 1546937626.312 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 1546937626.313 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1546937626.313 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* 0 (pow (cos (* 1/2 phi1)) 2))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 1546937626.313 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937626.313 * [misc]backup-simplify: Simplify (+ (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 0) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 1546937626.314 * [misc]backup-simplify: Simplify (+ 0 (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 1546937626.314 * [misc]backup-simplify: Simplify (+ (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) 1546937626.314 * [misc]backup-simplify: Simplify (+ (* phi1 1) (* 0 0)) into phi1 1546937626.315 * [misc]backup-simplify: Simplify (+ (* 2 phi1) (* 0 0)) into (* 2 phi1) 1546937626.315 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0 1546937626.315 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.315 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 1546937626.315 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.315 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 1546937626.317 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937626.317 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 1546937626.317 * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 1546937626.317 * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 1546937626.318 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 1546937626.318 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (* lambda2 lambda1))) into (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) 1546937626.319 * [misc]backup-simplify: Simplify (+ (* 2 (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) (* 0 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) 1546937626.319 * [misc]backup-simplify: Simplify (+ (* 2 phi1) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) 1546937626.320 * [misc]backup-simplify: Simplify (- (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1)) 1546937626.321 * [misc]backup-simplify: Simplify (+ (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) 1546937626.323 * [misc]backup-simplify: Simplify (/ (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) (* 2 (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))))) 1546937626.323 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi1 1546937626.323 * [misc]taylor: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi1 1546937626.323 * [misc]taylor: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi1 1546937626.323 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi1 1546937626.323 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937626.323 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937626.323 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937626.323 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.323 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.323 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937626.323 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.323 * [misc]backup-simplify: Simplify 0 into 0 1546937626.323 * [misc]backup-simplify: Simplify 1 into 1 1546937626.323 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.323 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.324 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937626.324 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937626.324 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937626.324 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937626.324 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937626.324 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937626.324 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.324 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937626.324 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in phi1 1546937626.324 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937626.324 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.324 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi1 1546937626.325 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937626.325 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.325 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.325 * [misc]taylor: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi1 1546937626.325 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1546937626.325 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in phi1 1546937626.325 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937626.325 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.325 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937626.325 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937626.325 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937626.325 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.325 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.325 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937626.325 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.325 * [misc]backup-simplify: Simplify 0 into 0 1546937626.325 * [misc]backup-simplify: Simplify 1 into 1 1546937626.325 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.325 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.325 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937626.325 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937626.325 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937626.325 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937626.325 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937626.326 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937626.326 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.326 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937626.326 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937626.326 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.326 * [misc]backup-simplify: Simplify 0 into 0 1546937626.326 * [misc]backup-simplify: Simplify 1 into 1 1546937626.326 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi1 1546937626.326 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 1546937626.326 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937626.326 * [misc]backup-simplify: Simplify 2 into 2 1546937626.326 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937626.326 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.326 * [misc]backup-simplify: Simplify 0 into 0 1546937626.326 * [misc]backup-simplify: Simplify 1 into 1 1546937626.326 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.326 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.326 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi1 1546937626.326 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937626.326 * [misc]backup-simplify: Simplify 2 into 2 1546937626.326 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi1 1546937626.327 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937626.327 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937626.327 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937626.327 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.327 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.327 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937626.327 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.327 * [misc]backup-simplify: Simplify 0 into 0 1546937626.327 * [misc]backup-simplify: Simplify 1 into 1 1546937626.327 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.327 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.327 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937626.327 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937626.327 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937626.327 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937626.327 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937626.327 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937626.327 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.328 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937626.328 * [misc]taylor: Taking taylor expansion of (* lambda2 lambda1) in phi1 1546937626.328 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937626.328 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.328 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937626.328 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.328 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937626.328 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937626.328 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) 1546937626.328 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.328 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937626.328 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937626.329 * [misc]backup-simplify: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 1546937626.329 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 0) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 1546937626.329 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) into (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) 1546937626.330 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) into (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) 1546937626.330 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937626.330 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546937626.330 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937626.330 * [misc]backup-simplify: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 1546937626.330 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) into (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) 1546937626.330 * [misc]backup-simplify: Simplify (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 1546937626.331 * [misc]backup-simplify: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 1546937626.331 * [misc]backup-simplify: Simplify (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 1546937626.332 * [misc]backup-simplify: Simplify (+ (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 1546937626.333 * [misc]backup-simplify: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) 1546937626.333 * [misc]backup-simplify: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 1546937626.333 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.334 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 1546937626.334 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.334 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 1546937626.335 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937626.336 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 1546937626.336 * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937626.336 * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937626.336 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 1546937626.337 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (pow lambda1 2))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) 1546937626.337 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937626.337 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.337 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 1546937626.338 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.338 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 1546937626.339 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937626.339 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 1546937626.339 * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937626.339 * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937626.340 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 1546937626.340 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1546937626.340 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) (* 0 (pow (cos (* 1/2 phi2)) 2))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 1546937626.341 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 0) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 1546937626.342 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 1546937626.344 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) 1546937626.344 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937626.345 * [misc]backup-simplify: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 1546937626.345 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0 1546937626.345 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.345 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 1546937626.345 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.345 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 1546937626.347 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937626.347 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 1546937626.347 * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937626.347 * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937626.348 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 1546937626.348 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (* lambda2 lambda1))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) 1546937626.349 * [misc]backup-simplify: Simplify (+ (* 2 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))))) (* 0 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))) 1546937626.350 * [misc]backup-simplify: Simplify (+ (* 2 phi2) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))) 1546937626.351 * [misc]backup-simplify: Simplify (- (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2)) 1546937626.354 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) 1546937626.357 * [misc]backup-simplify: Simplify (/ (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (* 1/2 (* (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))))) 1546937626.357 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda2 1546937626.358 * [misc]taylor: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda2 1546937626.358 * [misc]taylor: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda2 1546937626.358 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda2 1546937626.358 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937626.358 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937626.358 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937626.358 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.358 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.358 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937626.358 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.358 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.358 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.358 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.358 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.358 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.358 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.358 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.358 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.358 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.359 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.359 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.359 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in lambda2 1546937626.359 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937626.359 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.359 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 1546937626.359 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937626.359 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.359 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.359 * [misc]taylor: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 1546937626.359 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937626.359 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937626.359 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.359 * [misc]backup-simplify: Simplify 0 into 0 1546937626.359 * [misc]backup-simplify: Simplify 1 into 1 1546937626.359 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937626.359 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937626.359 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937626.359 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.359 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.359 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937626.360 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.360 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.360 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.360 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.360 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.360 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.360 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.360 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.360 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.360 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.360 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.360 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.361 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937626.361 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.361 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.361 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda2 1546937626.361 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 1546937626.361 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937626.361 * [misc]backup-simplify: Simplify 2 into 2 1546937626.361 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937626.361 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.361 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.361 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.361 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.361 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda2 1546937626.361 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937626.361 * [misc]backup-simplify: Simplify 2 into 2 1546937626.361 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda2 1546937626.361 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937626.361 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937626.361 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937626.361 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.361 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.361 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937626.361 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.361 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.361 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.361 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.361 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.361 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.361 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.362 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.362 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.362 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.362 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.362 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.362 * [misc]taylor: Taking taylor expansion of (* lambda2 lambda1) in lambda2 1546937626.362 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.362 * [misc]backup-simplify: Simplify 0 into 0 1546937626.362 * [misc]backup-simplify: Simplify 1 into 1 1546937626.362 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937626.362 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.362 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.362 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937626.363 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) into (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937626.363 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.363 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937626.363 * [misc]backup-simplify: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 1546937626.363 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 1546937626.363 * [misc]backup-simplify: Simplify (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) into (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1546937626.364 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937626.364 * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1546937626.364 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.364 * [misc]backup-simplify: Simplify (* 0 lambda1) into 0 1546937626.364 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 1546937626.364 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546937626.364 * [misc]backup-simplify: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 1546937626.364 * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1546937626.365 * [misc]backup-simplify: Simplify (+ (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))) 1546937626.366 * [misc]backup-simplify: Simplify (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) 1546937626.366 * [misc]backup-simplify: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 1546937626.366 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.366 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937626.366 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.367 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937626.368 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.368 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937626.368 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.368 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.369 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937626.369 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (* 0 (pow lambda1 2))) into 0 1546937626.369 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937626.369 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937626.369 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.369 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.370 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.370 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1546937626.370 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 1546937626.370 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 1546937626.370 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.371 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937626.371 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.371 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937626.372 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.373 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937626.373 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.373 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.373 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937626.374 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) (* 0 0)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 1546937626.374 * [misc]backup-simplify: Simplify (+ (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) (* 0 0)) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) 1546937626.374 * [misc]backup-simplify: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) 1546937626.375 * [misc]backup-simplify: Simplify (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 1546937626.375 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 1546937626.376 * [misc]backup-simplify: Simplify (/ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))))) 1546937626.376 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 1546937626.376 * [misc]taylor: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 1546937626.376 * [misc]taylor: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 1546937626.376 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 1546937626.376 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1546937626.376 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1546937626.376 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1546937626.376 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937626.376 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.376 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 1546937626.376 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.376 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.376 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.376 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.376 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.376 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.377 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.377 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.377 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.377 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.377 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.377 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.377 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in lambda1 1546937626.377 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937626.377 * [misc]backup-simplify: Simplify 0 into 0 1546937626.377 * [misc]backup-simplify: Simplify 1 into 1 1546937626.377 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 1546937626.377 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda1 1546937626.377 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.377 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.377 * [misc]taylor: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 1546937626.378 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 1546937626.378 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda1 1546937626.378 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937626.378 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.378 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1546937626.378 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1546937626.378 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1546937626.378 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937626.378 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.378 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 1546937626.378 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.378 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.378 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.378 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.378 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.378 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.378 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.378 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.378 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.378 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.379 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.379 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.379 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda1 1546937626.379 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.379 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.379 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 1546937626.379 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 1546937626.379 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937626.379 * [misc]backup-simplify: Simplify 2 into 2 1546937626.379 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda1 1546937626.379 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.379 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.379 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.379 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.379 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 1546937626.379 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937626.379 * [misc]backup-simplify: Simplify 2 into 2 1546937626.379 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 1546937626.379 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1546937626.379 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1546937626.379 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1546937626.379 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937626.379 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.379 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 1546937626.379 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.379 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.379 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.379 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.379 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.382 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.382 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.383 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.383 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.383 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.383 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.383 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.383 * [misc]taylor: Taking taylor expansion of (* lambda2 lambda1) in lambda1 1546937626.383 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937626.383 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.383 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937626.383 * [misc]backup-simplify: Simplify 0 into 0 1546937626.383 * [misc]backup-simplify: Simplify 1 into 1 1546937626.383 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.384 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937626.384 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.384 * [misc]backup-simplify: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937626.384 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937626.384 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 1546937626.385 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 1546937626.385 * [misc]backup-simplify: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 1546937626.385 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937626.386 * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1546937626.386 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.386 * [misc]backup-simplify: Simplify (* lambda2 0) into 0 1546937626.386 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 1546937626.386 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546937626.386 * [misc]backup-simplify: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 1546937626.386 * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1546937626.387 * [misc]backup-simplify: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1546937626.388 * [misc]backup-simplify: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 1546937626.388 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937626.388 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.388 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937626.389 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.389 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937626.390 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.390 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937626.391 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.391 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.391 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937626.391 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1546937626.391 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 1546937626.391 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937626.391 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.392 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.392 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.392 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1546937626.392 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 1546937626.392 * [misc]backup-simplify: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 1546937626.392 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.393 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937626.393 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.393 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937626.394 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.395 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937626.395 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.395 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.395 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937626.395 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937626.396 * [misc]backup-simplify: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1546937626.396 * [misc]backup-simplify: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1546937626.396 * [misc]backup-simplify: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1546937626.397 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1546937626.398 * [misc]backup-simplify: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 1546937626.398 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 1546937626.398 * [misc]taylor: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 1546937626.398 * [misc]taylor: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 1546937626.398 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 1546937626.398 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1546937626.398 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1546937626.398 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1546937626.398 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937626.398 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.398 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 1546937626.398 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.398 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.398 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.398 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.398 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.398 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.398 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.399 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.399 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.399 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.399 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.399 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.399 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in lambda1 1546937626.399 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937626.399 * [misc]backup-simplify: Simplify 0 into 0 1546937626.399 * [misc]backup-simplify: Simplify 1 into 1 1546937626.399 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 1546937626.399 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda1 1546937626.399 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.399 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.399 * [misc]taylor: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 1546937626.399 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 1546937626.399 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda1 1546937626.399 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937626.400 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.400 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1546937626.400 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1546937626.400 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1546937626.400 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937626.400 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.400 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 1546937626.400 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.400 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.400 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.400 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.400 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.400 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.400 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.400 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.400 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.400 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.400 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.401 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.401 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda1 1546937626.401 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.401 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.401 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 1546937626.401 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 1546937626.401 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937626.401 * [misc]backup-simplify: Simplify 2 into 2 1546937626.401 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda1 1546937626.401 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.401 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.401 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.401 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.401 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 1546937626.401 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937626.401 * [misc]backup-simplify: Simplify 2 into 2 1546937626.401 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 1546937626.401 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1546937626.401 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1546937626.401 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1546937626.401 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937626.401 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.401 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 1546937626.401 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.401 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.401 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.401 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.401 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.401 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.402 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.402 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.402 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.402 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.402 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.402 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.402 * [misc]taylor: Taking taylor expansion of (* lambda2 lambda1) in lambda1 1546937626.402 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937626.402 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.402 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937626.402 * [misc]backup-simplify: Simplify 0 into 0 1546937626.402 * [misc]backup-simplify: Simplify 1 into 1 1546937626.402 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.402 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937626.403 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.403 * [misc]backup-simplify: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937626.403 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937626.403 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 1546937626.404 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 1546937626.405 * [misc]backup-simplify: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 1546937626.405 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937626.405 * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1546937626.405 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.405 * [misc]backup-simplify: Simplify (* lambda2 0) into 0 1546937626.405 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 1546937626.405 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546937626.405 * [misc]backup-simplify: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 1546937626.406 * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1546937626.406 * [misc]backup-simplify: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1546937626.407 * [misc]backup-simplify: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 1546937626.407 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937626.407 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.408 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937626.408 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.408 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937626.409 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.409 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937626.410 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.410 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.410 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937626.410 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1546937626.410 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 1546937626.410 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937626.411 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.411 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.411 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.411 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1546937626.411 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 1546937626.411 * [misc]backup-simplify: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 1546937626.412 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.412 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937626.412 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.412 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937626.413 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.414 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937626.414 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.414 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.414 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937626.415 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937626.415 * [misc]backup-simplify: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1546937626.415 * [misc]backup-simplify: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1546937626.415 * [misc]backup-simplify: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1546937626.416 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1546937626.417 * [misc]backup-simplify: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 1546937626.417 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 1546937626.417 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 1546937626.417 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 1546937626.417 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937626.417 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.417 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.417 * [misc]taylor: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 1546937626.417 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937626.417 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937626.417 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.417 * [misc]backup-simplify: Simplify 0 into 0 1546937626.417 * [misc]backup-simplify: Simplify 1 into 1 1546937626.417 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937626.417 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937626.417 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937626.417 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.417 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.418 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937626.418 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.418 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.418 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.418 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.418 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.418 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.418 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.418 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.418 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.418 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.418 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.419 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.419 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937626.419 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.419 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.419 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 1546937626.419 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937626.419 * [misc]backup-simplify: Simplify 2 into 2 1546937626.419 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937626.419 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.419 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.419 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.419 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.419 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.419 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937626.419 * [misc]backup-simplify: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 1546937626.419 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 1546937626.419 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937626.419 * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1546937626.419 * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1546937626.420 * [misc]backup-simplify: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1546937626.420 * [misc]backup-simplify: Simplify (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 1546937626.420 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937626.420 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937626.420 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.421 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.421 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1546937626.421 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 1546937626.421 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.421 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.422 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 1546937626.422 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 1546937626.422 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 1546937626.422 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 1546937626.422 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937626.422 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.422 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.422 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937626.422 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.422 * [misc]backup-simplify: Simplify 0 into 0 1546937626.422 * [misc]backup-simplify: Simplify 1 into 1 1546937626.422 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 1546937626.422 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937626.422 * [misc]backup-simplify: Simplify 2 into 2 1546937626.422 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937626.422 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.422 * [misc]backup-simplify: Simplify 0 into 0 1546937626.422 * [misc]backup-simplify: Simplify 1 into 1 1546937626.422 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.422 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.422 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.422 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1546937626.422 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937626.423 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546937626.423 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.423 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1546937626.423 * [misc]backup-simplify: Simplify (sqrt (pow phi2 2)) into phi2 1546937626.423 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937626.423 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.423 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937626.424 * [misc]backup-simplify: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 1546937626.424 * [misc]backup-simplify: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 1546937626.424 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 1546937626.424 * [misc]backup-simplify: Simplify (/ (- (* 2 phi2)) (* 2 (sqrt (pow phi2 2)))) into -1 1546937626.424 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.424 * [misc]backup-simplify: Simplify 0 into 0 1546937626.424 * [misc]backup-simplify: Simplify 1 into 1 1546937626.424 * [misc]backup-simplify: Simplify 0 into 0 1546937626.424 * [misc]taylor: Taking taylor expansion of (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 1546937626.424 * [misc]taylor: Taking taylor expansion of -1 in lambda2 1546937626.424 * [misc]backup-simplify: Simplify -1 into -1 1546937626.424 * [misc]taylor: Taking taylor expansion of (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 1546937626.424 * [misc]taylor: Taking taylor expansion of (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937626.424 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.424 * [misc]backup-simplify: Simplify 0 into 0 1546937626.424 * [misc]backup-simplify: Simplify 1 into 1 1546937626.425 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937626.425 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937626.425 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937626.425 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.425 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.425 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937626.425 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.425 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.425 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.425 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.425 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.425 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.425 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.425 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.425 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.425 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.426 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.426 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.426 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 1546937626.426 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 1546937626.426 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 1546937626.426 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 1546937626.426 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937626.426 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.426 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.426 * [misc]taylor: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 1546937626.426 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937626.426 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937626.426 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.426 * [misc]backup-simplify: Simplify 0 into 0 1546937626.426 * [misc]backup-simplify: Simplify 1 into 1 1546937626.426 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937626.426 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937626.426 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937626.426 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.426 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.426 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937626.426 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.426 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.426 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.426 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.426 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.426 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.427 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.427 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.427 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.427 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.427 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.427 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.427 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937626.427 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.427 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.427 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 1546937626.427 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937626.427 * [misc]backup-simplify: Simplify 2 into 2 1546937626.427 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937626.427 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.427 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.427 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.428 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.428 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.428 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937626.428 * [misc]backup-simplify: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 1546937626.428 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 1546937626.428 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937626.428 * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1546937626.428 * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1546937626.428 * [misc]backup-simplify: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1546937626.428 * [misc]backup-simplify: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 1546937626.429 * [misc]backup-simplify: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 1546937626.429 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937626.429 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937626.429 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.429 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.429 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1546937626.430 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 1546937626.430 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.430 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.430 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 1546937626.431 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 1546937626.431 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.431 * [misc]backup-simplify: Simplify (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into 0 1546937626.431 * [misc]backup-simplify: Simplify (* 0 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 1546937626.431 * [misc]backup-simplify: Simplify (* -1 0) into 0 1546937626.431 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937626.431 * [misc]backup-simplify: Simplify 0 into 0 1546937626.432 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.432 * [misc]backup-simplify: Simplify 0 into 0 1546937626.432 * [misc]backup-simplify: Simplify 0 into 0 1546937626.432 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937626.432 * [misc]backup-simplify: Simplify 0 into 0 1546937626.432 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.432 * [misc]backup-simplify: Simplify 0 into 0 1546937626.432 * [misc]backup-simplify: Simplify 0 into 0 1546937626.432 * [misc]taylor: Taking taylor expansion of -1 in phi2 1546937626.432 * [misc]backup-simplify: Simplify -1 into -1 1546937626.432 * [misc]backup-simplify: Simplify -1 into -1 1546937626.432 * [misc]backup-simplify: Simplify 1 into 1 1546937626.432 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.433 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.433 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.433 * [misc]backup-simplify: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 1546937626.434 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937626.434 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937626.435 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.435 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 1546937626.436 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937626.436 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937626.436 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.436 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.437 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 1546937626.437 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0 1546937626.437 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into 0 1546937626.437 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 1546937626.438 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.438 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.438 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.438 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 1546937626.438 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 1546937626.439 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 1546937626.440 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937626.440 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937626.440 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.440 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 1546937626.441 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937626.442 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937626.442 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.442 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.442 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 1546937626.443 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (+ (* 0 lambda2) (* 0 0))) into 0 1546937626.443 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0))) into 0 1546937626.443 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.443 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.443 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.445 * [misc]backup-simplify: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 1546937626.445 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 1546937626.446 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.446 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.446 * [misc]taylor: Taking taylor expansion of (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 1546937626.446 * [misc]taylor: Taking taylor expansion of (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 1546937626.446 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937626.446 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937626.446 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937626.446 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.446 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.446 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937626.446 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.446 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.446 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.446 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.446 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.446 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.446 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.446 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.446 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.446 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.446 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.447 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.447 * [misc]taylor: Taking taylor expansion of (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 1546937626.447 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) in lambda2 1546937626.447 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937626.447 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.447 * [misc]backup-simplify: Simplify 0 into 0 1546937626.447 * [misc]backup-simplify: Simplify 1 into 1 1546937626.447 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 4) in lambda2 1546937626.447 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937626.447 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937626.447 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.447 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937626.447 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.447 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.447 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.447 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.447 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.447 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.447 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.447 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.447 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.448 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.448 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.448 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.448 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 1546937626.448 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 1546937626.448 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937626.448 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.448 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.448 * [misc]taylor: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 1546937626.448 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937626.448 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937626.448 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.448 * [misc]backup-simplify: Simplify 0 into 0 1546937626.448 * [misc]backup-simplify: Simplify 1 into 1 1546937626.448 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937626.448 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937626.448 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937626.448 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.448 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.448 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937626.448 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.448 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.448 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.449 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.449 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.449 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.449 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.449 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.449 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.449 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.449 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.449 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.449 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937626.449 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.449 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.449 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 1546937626.450 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937626.450 * [misc]backup-simplify: Simplify 2 into 2 1546937626.450 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937626.450 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.450 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.450 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.450 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.450 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.450 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.450 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 1546937626.450 * [misc]backup-simplify: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 4)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 1546937626.451 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.451 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937626.451 * [misc]backup-simplify: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 1546937626.451 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 1546937626.451 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937626.451 * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1546937626.451 * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1546937626.451 * [misc]backup-simplify: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1546937626.452 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 1546937626.452 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 1546937626.452 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 1546937626.452 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 1546937626.452 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 1546937626.452 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937626.452 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.452 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.452 * [misc]taylor: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 1546937626.452 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937626.452 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937626.452 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.452 * [misc]backup-simplify: Simplify 0 into 0 1546937626.452 * [misc]backup-simplify: Simplify 1 into 1 1546937626.452 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937626.452 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937626.452 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937626.452 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.452 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.452 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937626.452 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.452 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.452 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.452 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.452 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.453 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.453 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.453 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.453 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.453 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.453 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.453 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.453 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937626.453 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.453 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.453 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 1546937626.454 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937626.454 * [misc]backup-simplify: Simplify 2 into 2 1546937626.454 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937626.454 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.454 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.454 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.454 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.454 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.454 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937626.454 * [misc]backup-simplify: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 1546937626.454 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 1546937626.454 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937626.454 * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1546937626.454 * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1546937626.455 * [misc]backup-simplify: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1546937626.455 * [misc]backup-simplify: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 1546937626.455 * [misc]backup-simplify: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 1546937626.455 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937626.455 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937626.456 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.456 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.456 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1546937626.456 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 1546937626.456 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.456 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.457 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 1546937626.458 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 1546937626.458 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.458 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.459 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) 1546937626.459 * [misc]backup-simplify: Simplify (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 1546937626.459 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 1546937626.459 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.459 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.459 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 1546937626.460 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937626.460 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937626.460 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937626.460 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.460 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.460 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937626.460 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.460 * [misc]backup-simplify: Simplify 0 into 0 1546937626.460 * [misc]backup-simplify: Simplify 1 into 1 1546937626.460 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.460 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.460 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937626.460 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937626.460 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937626.460 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937626.460 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937626.460 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937626.461 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.461 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937626.461 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 1546937626.461 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 1546937626.461 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 1546937626.461 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 1546937626.461 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937626.461 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.461 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.461 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937626.461 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.461 * [misc]backup-simplify: Simplify 0 into 0 1546937626.461 * [misc]backup-simplify: Simplify 1 into 1 1546937626.461 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 1546937626.461 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937626.461 * [misc]backup-simplify: Simplify 2 into 2 1546937626.461 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937626.461 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.461 * [misc]backup-simplify: Simplify 0 into 0 1546937626.461 * [misc]backup-simplify: Simplify 1 into 1 1546937626.461 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.461 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.461 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.462 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1546937626.462 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937626.462 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546937626.462 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.462 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1546937626.462 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937626.462 * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 1546937626.462 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937626.463 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.463 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937626.463 * [misc]backup-simplify: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 1546937626.463 * [misc]backup-simplify: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 1546937626.463 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 1546937626.464 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 1546937626.464 * [misc]backup-simplify: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 1546937626.464 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937626.464 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 1546937626.464 * [misc]backup-simplify: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 1546937626.464 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 1546937626.464 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.464 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.464 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 1546937626.464 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937626.464 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937626.464 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937626.464 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.464 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.465 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.465 * [misc]backup-simplify: Simplify 0 into 0 1546937626.465 * [misc]backup-simplify: Simplify 1 into 1 1546937626.465 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937626.465 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937626.465 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.465 * [misc]backup-simplify: Simplify 0 into 0 1546937626.465 * [misc]backup-simplify: Simplify 1 into 1 1546937626.465 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.465 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.466 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.466 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937626.466 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1546937626.466 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1546937626.466 * [misc]backup-simplify: Simplify 0 into 0 1546937626.467 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.467 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937626.467 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.467 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937626.468 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.469 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937626.469 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.469 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.469 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937626.470 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.470 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) 1546937626.471 * [misc]backup-simplify: Simplify (+ (* -1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) (* 0 0)) into (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 1546937626.471 * [misc]taylor: Taking taylor expansion of (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 1546937626.471 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 1546937626.471 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937626.471 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937626.471 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937626.471 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.471 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.471 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937626.471 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.471 * [misc]backup-simplify: Simplify 0 into 0 1546937626.471 * [misc]backup-simplify: Simplify 1 into 1 1546937626.471 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.471 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.471 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937626.471 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937626.472 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937626.472 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937626.472 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937626.472 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937626.472 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.472 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937626.472 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 1546937626.472 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 1546937626.472 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 1546937626.472 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 1546937626.472 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937626.472 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.472 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.472 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937626.472 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.472 * [misc]backup-simplify: Simplify 0 into 0 1546937626.472 * [misc]backup-simplify: Simplify 1 into 1 1546937626.472 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 1546937626.472 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937626.472 * [misc]backup-simplify: Simplify 2 into 2 1546937626.473 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937626.473 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.473 * [misc]backup-simplify: Simplify 0 into 0 1546937626.473 * [misc]backup-simplify: Simplify 1 into 1 1546937626.473 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.473 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.473 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.473 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1546937626.473 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937626.473 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546937626.473 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.473 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1546937626.473 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937626.473 * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 1546937626.474 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937626.474 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.474 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937626.474 * [misc]backup-simplify: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 1546937626.474 * [misc]backup-simplify: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 1546937626.474 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 1546937626.475 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 1546937626.475 * [misc]backup-simplify: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 1546937626.475 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937626.475 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 1546937626.475 * [misc]backup-simplify: Simplify (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 1546937626.475 * [misc]taylor: Taking taylor expansion of (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 1546937626.475 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 1546937626.475 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937626.475 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937626.475 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937626.475 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.475 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.475 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.475 * [misc]backup-simplify: Simplify 0 into 0 1546937626.475 * [misc]backup-simplify: Simplify 1 into 1 1546937626.476 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937626.476 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937626.476 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.476 * [misc]backup-simplify: Simplify 0 into 0 1546937626.476 * [misc]backup-simplify: Simplify 1 into 1 1546937626.476 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.476 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.476 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.476 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937626.476 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1546937626.476 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.476 * [misc]backup-simplify: Simplify 0 into 0 1546937626.477 * [misc]backup-simplify: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 1546937626.477 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.477 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.477 * [misc]backup-simplify: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.477 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 1546937626.477 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.477 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.477 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 1546937626.478 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 1546937626.478 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.478 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.479 * [misc]backup-simplify: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow 0 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 1546937626.479 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 1546937626.479 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.479 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.479 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 1546937626.479 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937626.479 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937626.479 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937626.479 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.479 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.479 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937626.479 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.479 * [misc]backup-simplify: Simplify 0 into 0 1546937626.479 * [misc]backup-simplify: Simplify 1 into 1 1546937626.479 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.479 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.479 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937626.479 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937626.479 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937626.479 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937626.479 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937626.479 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937626.479 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.479 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937626.479 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 1546937626.479 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 1546937626.479 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 1546937626.479 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 1546937626.479 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937626.479 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.479 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.479 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937626.479 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.479 * [misc]backup-simplify: Simplify 0 into 0 1546937626.479 * [misc]backup-simplify: Simplify 1 into 1 1546937626.479 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 1546937626.480 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937626.480 * [misc]backup-simplify: Simplify 2 into 2 1546937626.480 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937626.480 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.480 * [misc]backup-simplify: Simplify 0 into 0 1546937626.480 * [misc]backup-simplify: Simplify 1 into 1 1546937626.480 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.480 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.480 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.480 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1546937626.480 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937626.480 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546937626.480 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.480 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1546937626.480 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937626.480 * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 1546937626.480 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937626.480 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.480 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937626.481 * [misc]backup-simplify: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 1546937626.481 * [misc]backup-simplify: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 1546937626.481 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 1546937626.481 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 1546937626.481 * [misc]backup-simplify: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 1546937626.481 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937626.481 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 1546937626.481 * [misc]backup-simplify: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 1546937626.481 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 1546937626.481 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.481 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.481 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 1546937626.481 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937626.481 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937626.481 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937626.481 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.481 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.481 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.481 * [misc]backup-simplify: Simplify 0 into 0 1546937626.481 * [misc]backup-simplify: Simplify 1 into 1 1546937626.482 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937626.482 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937626.482 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.482 * [misc]backup-simplify: Simplify 0 into 0 1546937626.482 * [misc]backup-simplify: Simplify 1 into 1 1546937626.482 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.482 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.482 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.482 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937626.482 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1546937626.482 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1546937626.483 * [misc]backup-simplify: Simplify 0 into 0 1546937626.483 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.483 * [misc]backup-simplify: Simplify 0 into 0 1546937626.483 * [misc]backup-simplify: Simplify 0 into 0 1546937626.483 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.483 * [misc]backup-simplify: Simplify 0 into 0 1546937626.483 * [misc]backup-simplify: Simplify 0 into 0 1546937626.483 * [misc]backup-simplify: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 1546937626.483 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.483 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.483 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 1546937626.483 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 phi2) (* 0 0))) into 0 1546937626.484 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.484 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.484 * [misc]backup-simplify: Simplify (/ (- 1 (pow -1 2) (+)) (* 2 phi2)) into 0 1546937626.484 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.484 * [misc]backup-simplify: Simplify 0 into 0 1546937626.484 * [misc]backup-simplify: Simplify 0 into 0 1546937626.484 * [misc]backup-simplify: Simplify (+ (* 1 (* phi2 (* 1 (* 1 1)))) (* -1 (* 1 (* phi1 (* 1 1))))) into (- phi2 phi1) 1546937626.485 * [misc]backup-simplify: Simplify (sqrt (+ (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))))) into (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) 1546937626.485 * [misc]approximate: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0 1546937626.485 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi2 1546937626.485 * [misc]taylor: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi2 1546937626.485 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi2 1546937626.485 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 1546937626.485 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937626.485 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.485 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.485 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.485 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.485 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.485 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.485 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.485 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.485 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.485 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.485 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.485 * [misc]backup-simplify: Simplify 0 into 0 1546937626.485 * [misc]backup-simplify: Simplify 1 into 1 1546937626.486 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.486 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.486 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.486 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.486 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in phi2 1546937626.486 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937626.486 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.486 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.486 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937626.486 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937626.486 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi2 1546937626.486 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 1546937626.486 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi2 1546937626.486 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.486 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.486 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937626.486 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937626.486 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi2 1546937626.487 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 1546937626.487 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937626.487 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.487 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.487 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.487 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.487 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.487 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.487 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.487 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.487 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.487 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.487 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.487 * [misc]backup-simplify: Simplify 0 into 0 1546937626.487 * [misc]backup-simplify: Simplify 1 into 1 1546937626.487 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.487 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.487 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.487 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.487 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in phi2 1546937626.487 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937626.487 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.487 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.487 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937626.488 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1546937626.488 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 1546937626.488 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi2 1546937626.488 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.488 * [misc]backup-simplify: Simplify 0 into 0 1546937626.488 * [misc]backup-simplify: Simplify 1 into 1 1546937626.488 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.488 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.488 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi2 1546937626.488 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 1546937626.488 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937626.488 * [misc]backup-simplify: Simplify 2 into 2 1546937626.488 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 1546937626.488 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi2 1546937626.488 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.488 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.488 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.488 * [misc]backup-simplify: Simplify 0 into 0 1546937626.488 * [misc]backup-simplify: Simplify 1 into 1 1546937626.488 * [misc]backup-simplify: Simplify (* phi1 0) into 0 1546937626.488 * [misc]backup-simplify: Simplify (+ (* phi1 1) (* 0 0)) into phi1 1546937626.488 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.488 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi2 1546937626.488 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937626.488 * [misc]backup-simplify: Simplify 2 into 2 1546937626.488 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi2 1546937626.488 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937626.488 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.488 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.488 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.488 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.488 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.488 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.488 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.488 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.488 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.489 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.489 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.489 * [misc]backup-simplify: Simplify 0 into 0 1546937626.489 * [misc]backup-simplify: Simplify 1 into 1 1546937626.489 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.489 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.489 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.489 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.489 * [misc]taylor: Taking taylor expansion of (* lambda2 lambda1) in phi2 1546937626.489 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937626.489 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.489 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937626.489 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.489 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.489 * [misc]backup-simplify: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 1546937626.489 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 1546937626.490 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.490 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.490 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.490 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.490 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1546937626.490 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937626.490 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937626.490 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.490 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.490 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.491 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1) 1546937626.491 * [misc]backup-simplify: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1)) 1546937626.491 * [misc]backup-simplify: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1))) 1546937626.491 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) 1546937626.491 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) 1546937626.491 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi1 1546937626.491 * [misc]taylor: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi1 1546937626.491 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi1 1546937626.491 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 1546937626.491 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937626.491 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.491 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.491 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.491 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.491 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.491 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.491 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.491 * [misc]backup-simplify: Simplify 0 into 0 1546937626.491 * [misc]backup-simplify: Simplify 1 into 1 1546937626.491 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.491 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.491 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.491 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.491 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.492 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.492 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.492 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.492 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in phi1 1546937626.492 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937626.492 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.492 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.492 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937626.492 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937626.492 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi1 1546937626.492 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1546937626.492 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937626.492 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.492 * [misc]backup-simplify: Simplify 0 into 0 1546937626.492 * [misc]backup-simplify: Simplify 1 into 1 1546937626.492 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.492 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.492 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi1 1546937626.492 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 1546937626.493 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937626.493 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.493 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.493 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.493 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.493 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.493 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.493 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.493 * [misc]backup-simplify: Simplify 0 into 0 1546937626.493 * [misc]backup-simplify: Simplify 1 into 1 1546937626.493 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.493 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.493 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.493 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.493 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.493 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.493 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.493 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.493 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in phi1 1546937626.493 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937626.493 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.493 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.493 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937626.494 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1546937626.494 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1546937626.494 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937626.494 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.494 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.494 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.494 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937626.494 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi1 1546937626.494 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1546937626.494 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937626.494 * [misc]backup-simplify: Simplify 2 into 2 1546937626.494 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1546937626.494 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937626.494 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.494 * [misc]backup-simplify: Simplify 0 into 0 1546937626.494 * [misc]backup-simplify: Simplify 1 into 1 1546937626.494 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.494 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.494 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937626.494 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937626.494 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.494 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi1 1546937626.494 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937626.494 * [misc]backup-simplify: Simplify 2 into 2 1546937626.494 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi1 1546937626.494 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937626.494 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.494 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.494 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.494 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.494 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.494 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.494 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.494 * [misc]backup-simplify: Simplify 0 into 0 1546937626.494 * [misc]backup-simplify: Simplify 1 into 1 1546937626.494 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.494 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.494 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.494 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.495 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.495 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.495 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.495 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.495 * [misc]taylor: Taking taylor expansion of (* lambda2 lambda1) in phi1 1546937626.495 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937626.495 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.495 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937626.495 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.495 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.495 * [misc]backup-simplify: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 1546937626.495 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 1546937626.495 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.495 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.496 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.496 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1546937626.496 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937626.496 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937626.496 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.496 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.496 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1546937626.496 * [misc]backup-simplify: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2)) 1546937626.496 * [misc]backup-simplify: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2))) 1546937626.496 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1546937626.497 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) 1546937626.497 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda2 1546937626.497 * [misc]taylor: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda2 1546937626.497 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda2 1546937626.497 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 1546937626.497 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937626.497 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.497 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.497 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.497 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.497 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.497 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.497 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.497 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.497 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.497 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.497 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.497 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.497 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.497 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.497 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.497 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.497 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.497 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.497 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.498 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.498 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.498 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937626.498 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.498 * [misc]backup-simplify: Simplify 0 into 0 1546937626.498 * [misc]backup-simplify: Simplify 1 into 1 1546937626.498 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.498 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.498 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.498 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda2 1546937626.498 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 1546937626.498 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937626.498 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.498 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.498 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937626.498 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937626.498 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda2 1546937626.498 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 1546937626.498 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937626.498 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.498 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.498 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.498 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.498 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.498 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.498 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.498 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.499 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.499 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.499 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.499 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.499 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.499 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.499 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.499 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.499 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.499 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.499 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.499 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.499 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.499 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in lambda2 1546937626.499 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937626.499 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.499 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.500 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937626.500 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1546937626.500 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 1546937626.500 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937626.500 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.500 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.500 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.500 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937626.500 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda2 1546937626.500 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 1546937626.500 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937626.500 * [misc]backup-simplify: Simplify 2 into 2 1546937626.500 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 1546937626.500 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937626.500 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.500 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.500 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.500 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.500 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937626.500 * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1546937626.500 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda2 1546937626.500 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937626.500 * [misc]backup-simplify: Simplify 2 into 2 1546937626.500 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda2 1546937626.500 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937626.500 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.500 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.500 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.500 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.500 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.500 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.500 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.500 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.500 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.500 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.500 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.500 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.500 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.500 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.501 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.501 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.501 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.501 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.501 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.501 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.501 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.501 * [misc]taylor: Taking taylor expansion of (* lambda2 lambda1) in lambda2 1546937626.501 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.501 * [misc]backup-simplify: Simplify 0 into 0 1546937626.501 * [misc]backup-simplify: Simplify 1 into 1 1546937626.501 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937626.501 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.501 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.501 * [misc]backup-simplify: Simplify (* 0 lambda1) into 0 1546937626.502 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 1546937626.502 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 1546937626.502 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.502 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.502 * [misc]backup-simplify: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.502 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.502 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937626.503 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937626.503 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937626.503 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.503 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937626.504 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.504 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937626.504 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.504 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.504 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937626.504 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937626.505 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1546937626.505 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.505 * [misc]backup-simplify: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 1546937626.505 * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 1546937626.505 * [misc]backup-simplify: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 1546937626.506 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 1546937626.506 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) 1546937626.506 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 1546937626.506 * [misc]taylor: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 1546937626.506 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 1546937626.506 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 1546937626.506 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937626.506 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937626.506 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937626.506 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937626.506 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.506 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937626.506 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937626.506 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.506 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.506 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.506 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937626.506 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.506 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.506 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.506 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.506 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.506 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.507 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.507 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.507 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.507 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.507 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.507 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda1 1546937626.507 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937626.507 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.507 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.507 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937626.507 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937626.507 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 1546937626.507 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 1546937626.507 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda1 1546937626.507 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.507 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.507 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937626.508 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937626.508 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 1546937626.508 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 1546937626.508 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937626.508 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937626.508 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937626.508 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937626.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.508 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937626.508 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937626.508 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.508 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.508 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.508 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937626.508 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.508 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.508 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.508 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.508 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.508 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.508 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.508 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.508 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.508 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.509 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.509 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in lambda1 1546937626.509 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937626.509 * [misc]backup-simplify: Simplify 0 into 0 1546937626.509 * [misc]backup-simplify: Simplify 1 into 1 1546937626.509 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.509 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.509 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.509 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 1546937626.509 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda1 1546937626.509 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.509 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.509 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.509 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937626.509 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 1546937626.509 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 1546937626.509 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937626.509 * [misc]backup-simplify: Simplify 2 into 2 1546937626.509 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 1546937626.509 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda1 1546937626.509 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.509 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.509 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.509 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.509 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937626.509 * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1546937626.509 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 1546937626.509 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937626.509 * [misc]backup-simplify: Simplify 2 into 2 1546937626.510 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 1546937626.510 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937626.510 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937626.510 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937626.510 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937626.510 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.510 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937626.510 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937626.510 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.510 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.510 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.510 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937626.510 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.510 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.510 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.510 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.510 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.510 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.510 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.510 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.510 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.510 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.510 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.510 * [misc]taylor: Taking taylor expansion of (* lambda2 lambda1) in lambda1 1546937626.511 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937626.511 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.511 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937626.511 * [misc]backup-simplify: Simplify 0 into 0 1546937626.511 * [misc]backup-simplify: Simplify 1 into 1 1546937626.511 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.511 * [misc]backup-simplify: Simplify (* lambda2 0) into 0 1546937626.511 * [misc]backup-simplify: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 1546937626.511 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 1546937626.512 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.512 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.512 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.512 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.512 * [misc]backup-simplify: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.512 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.512 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937626.512 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937626.513 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937626.513 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.513 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937626.514 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.514 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937626.514 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.514 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.514 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937626.514 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937626.515 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1546937626.515 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.515 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.515 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.515 * [misc]backup-simplify: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1546937626.515 * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1546937626.515 * [misc]backup-simplify: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937626.516 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937626.516 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 1546937626.516 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 1546937626.516 * [misc]taylor: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 1546937626.516 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 1546937626.516 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 1546937626.516 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937626.516 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937626.516 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937626.516 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937626.516 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.516 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937626.516 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937626.516 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.516 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.516 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.516 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937626.516 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.516 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.516 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.516 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.516 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.517 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.517 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.517 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.517 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.517 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.517 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.517 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda1 1546937626.517 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937626.517 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.517 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.517 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937626.517 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937626.517 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 1546937626.517 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 1546937626.517 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda1 1546937626.517 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.518 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.518 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937626.518 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937626.518 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 1546937626.518 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 1546937626.518 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937626.518 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937626.518 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937626.518 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937626.518 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.518 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937626.518 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937626.518 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.518 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.518 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.518 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937626.518 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.518 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.518 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.518 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.518 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.518 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.518 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.518 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.518 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.518 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.519 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.519 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in lambda1 1546937626.519 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937626.519 * [misc]backup-simplify: Simplify 0 into 0 1546937626.519 * [misc]backup-simplify: Simplify 1 into 1 1546937626.519 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.519 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.519 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.519 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 1546937626.519 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda1 1546937626.519 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.519 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.519 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.519 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937626.519 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 1546937626.519 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 1546937626.519 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937626.519 * [misc]backup-simplify: Simplify 2 into 2 1546937626.519 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 1546937626.519 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda1 1546937626.519 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.519 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.520 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.520 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.520 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937626.520 * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1546937626.520 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 1546937626.520 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937626.520 * [misc]backup-simplify: Simplify 2 into 2 1546937626.520 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 1546937626.520 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937626.520 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937626.520 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937626.520 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937626.520 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.520 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937626.520 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937626.520 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.520 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.520 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.520 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937626.520 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.520 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.520 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.520 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.520 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.520 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.521 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.522 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.522 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.522 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.522 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.522 * [misc]taylor: Taking taylor expansion of (* lambda2 lambda1) in lambda1 1546937626.522 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937626.522 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.522 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937626.522 * [misc]backup-simplify: Simplify 0 into 0 1546937626.522 * [misc]backup-simplify: Simplify 1 into 1 1546937626.522 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.522 * [misc]backup-simplify: Simplify (* lambda2 0) into 0 1546937626.522 * [misc]backup-simplify: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 1546937626.523 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 1546937626.523 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.523 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.523 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.523 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.523 * [misc]backup-simplify: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.523 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.524 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937626.524 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937626.524 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937626.524 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.524 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937626.525 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.525 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937626.525 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.525 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.525 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937626.526 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937626.526 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1546937626.526 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.526 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.526 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.526 * [misc]backup-simplify: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1546937626.527 * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1546937626.527 * [misc]backup-simplify: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937626.527 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937626.527 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 1546937626.527 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.527 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.527 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.527 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.527 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.527 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.528 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.528 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.528 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.528 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.528 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.528 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.528 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.528 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.528 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.528 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.528 * [misc]taylor: Taking taylor expansion of (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2 1546937626.528 * [misc]taylor: Taking taylor expansion of -1 in lambda2 1546937626.528 * [misc]backup-simplify: Simplify -1 into -1 1546937626.528 * [misc]taylor: Taking taylor expansion of (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2 1546937626.528 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.528 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.528 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.528 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.528 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.528 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.528 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.528 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.528 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.528 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.528 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.528 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.528 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.528 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.528 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.528 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.529 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.529 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.529 * [misc]backup-simplify: Simplify 0 into 0 1546937626.529 * [misc]backup-simplify: Simplify 1 into 1 1546937626.529 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.529 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.529 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.529 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.529 * [misc]backup-simplify: Simplify (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.529 * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937626.529 * [misc]taylor: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1546937626.529 * [misc]taylor: Taking taylor expansion of -1 in phi1 1546937626.529 * [misc]backup-simplify: Simplify -1 into -1 1546937626.529 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.529 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.529 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.529 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.529 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.529 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.529 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.529 * [misc]backup-simplify: Simplify 0 into 0 1546937626.529 * [misc]backup-simplify: Simplify 1 into 1 1546937626.530 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.530 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.530 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.530 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.530 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.530 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.530 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.530 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.530 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.530 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.530 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.530 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.530 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.530 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.530 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.530 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.530 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.530 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.530 * [misc]backup-simplify: Simplify 0 into 0 1546937626.530 * [misc]backup-simplify: Simplify 1 into 1 1546937626.531 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.531 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.531 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.531 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.531 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.531 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.531 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.531 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.532 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937626.533 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937626.533 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937626.533 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937626.533 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.534 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937626.535 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937626.535 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937626.535 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.535 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.536 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937626.536 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1546937626.537 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937626.537 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow phi2 2))) into (/ 1 (pow phi2 2)) 1546937626.537 * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1546937626.537 * [misc]backup-simplify: Simplify (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) into (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) 1546937626.538 * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1546937626.538 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.538 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937626.538 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937626.538 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937626.538 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.539 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937626.540 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.540 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937626.540 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.540 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.541 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937626.541 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 1546937626.541 * [misc]backup-simplify: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 1546937626.542 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 1546937626.542 * [misc]backup-simplify: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 1546937626.542 * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1546937626.543 * [misc]backup-simplify: Simplify (+ (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) 1546937626.544 * [misc]backup-simplify: Simplify (/ (- (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937626.544 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 1546937626.544 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.544 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 1546937626.544 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 1546937626.544 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2 1546937626.544 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 1546937626.544 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937626.544 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.544 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.545 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.545 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937626.545 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 1546937626.545 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937626.545 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.545 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.545 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937626.545 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937626.545 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 1546937626.545 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937626.545 * [misc]backup-simplify: Simplify 2 into 2 1546937626.545 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 1546937626.545 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937626.545 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.545 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.545 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.545 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.545 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937626.545 * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1546937626.545 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.545 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.545 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.545 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.545 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.545 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.546 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.546 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.546 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.546 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.546 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.546 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.546 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.546 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.546 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.546 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.546 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.546 * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1546937626.547 * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1546937626.547 * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1546937626.547 * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 1546937626.547 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.547 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.548 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.548 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.548 * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937626.548 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.549 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937626.549 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937626.549 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937626.549 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.549 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937626.551 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.551 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937626.551 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.551 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.551 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0 1546937626.552 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937626.552 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937626.552 * [misc]backup-simplify: Simplify 0 into 0 1546937626.552 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.552 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937626.552 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937626.552 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937626.552 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.552 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937626.553 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.553 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937626.553 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.554 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.554 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937626.554 * [misc]backup-simplify: Simplify 0 into 0 1546937626.554 * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937626.554 * [misc]taylor: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2 1546937626.554 * [misc]taylor: Taking taylor expansion of -1 in phi2 1546937626.554 * [misc]backup-simplify: Simplify -1 into -1 1546937626.554 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.554 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.554 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.554 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.554 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.554 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.554 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.554 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.554 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.554 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.554 * [misc]backup-simplify: Simplify 0 into 0 1546937626.554 * [misc]backup-simplify: Simplify 1 into 1 1546937626.554 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.554 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.554 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.554 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.554 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.555 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.555 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.555 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.555 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.555 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.555 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.555 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.555 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.555 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.555 * [misc]backup-simplify: Simplify 0 into 0 1546937626.555 * [misc]backup-simplify: Simplify 1 into 1 1546937626.555 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.555 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.555 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.555 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.555 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.555 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937626.556 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937626.556 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937626.556 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.556 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937626.557 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.557 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937626.557 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.557 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.557 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937626.557 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1546937626.558 * [misc]backup-simplify: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0 1546937626.558 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937626.558 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 1546937626.559 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1546937626.559 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1546937626.559 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937626.559 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937626.559 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.560 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937626.561 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937626.561 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1546937626.561 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.561 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.562 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0 1546937626.562 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1546937626.563 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937626.563 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937626.563 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 1546937626.563 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.563 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.563 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.563 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1546937626.563 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 1546937626.563 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 1546937626.564 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937626.564 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937626.565 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937626.565 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937626.565 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.565 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937626.566 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937626.566 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937626.566 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.566 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.566 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937626.567 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546937626.567 * [misc]backup-simplify: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1546937626.567 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0 1546937626.567 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.567 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.567 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.568 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937626.568 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 1546937626.568 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.568 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.568 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 1546937626.568 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2 1546937626.568 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2 1546937626.568 * [misc]taylor: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2 1546937626.568 * [misc]taylor: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2 1546937626.568 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.568 * [misc]backup-simplify: Simplify 0 into 0 1546937626.568 * [misc]backup-simplify: Simplify 1 into 1 1546937626.568 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937626.568 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.568 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.568 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.568 * [misc]backup-simplify: Simplify (* 0 (pow phi2 2)) into 0 1546937626.568 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937626.569 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2) 1546937626.569 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937626.569 * [misc]taylor: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2 1546937626.569 * [misc]taylor: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2 1546937626.569 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.569 * [misc]backup-simplify: Simplify 0 into 0 1546937626.569 * [misc]backup-simplify: Simplify 1 into 1 1546937626.569 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937626.569 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.569 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.569 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937626.569 * [misc]backup-simplify: Simplify (* 0 (pow phi1 2)) into 0 1546937626.569 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937626.569 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2) 1546937626.569 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937626.569 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2 1546937626.569 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937626.569 * [misc]backup-simplify: Simplify 2 into 2 1546937626.569 * [misc]taylor: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2 1546937626.569 * [misc]taylor: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2 1546937626.569 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.569 * [misc]backup-simplify: Simplify 0 into 0 1546937626.569 * [misc]backup-simplify: Simplify 1 into 1 1546937626.569 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937626.569 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.569 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.569 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.569 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.569 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937626.569 * [misc]backup-simplify: Simplify (* 0 (* phi1 phi2)) into 0 1546937626.569 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1546937626.570 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2) 1546937626.570 * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1546937626.570 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.570 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.570 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.570 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.570 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.570 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.570 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.570 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.570 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.570 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.570 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.570 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.570 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.570 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.570 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.570 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.570 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.570 * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1546937626.570 * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1546937626.570 * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1546937626.571 * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 1546937626.571 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.571 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.571 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.571 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.571 * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937626.572 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937626.572 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 1546937626.572 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.572 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.572 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1546937626.572 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 1546937626.572 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 1546937626.572 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1546937626.572 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937626.572 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.572 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.572 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.572 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937626.572 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1546937626.572 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937626.572 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.572 * [misc]backup-simplify: Simplify 0 into 0 1546937626.572 * [misc]backup-simplify: Simplify 1 into 1 1546937626.572 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.572 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.572 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1546937626.572 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937626.572 * [misc]backup-simplify: Simplify 2 into 2 1546937626.572 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1546937626.572 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937626.572 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.572 * [misc]backup-simplify: Simplify 0 into 0 1546937626.572 * [misc]backup-simplify: Simplify 1 into 1 1546937626.572 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.572 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.572 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937626.573 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937626.573 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.573 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.573 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.573 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.573 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.573 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.573 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.573 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.573 * [misc]backup-simplify: Simplify 0 into 0 1546937626.573 * [misc]backup-simplify: Simplify 1 into 1 1546937626.573 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.573 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.573 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.573 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.573 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.573 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.573 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.573 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.573 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.573 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.574 * [misc]backup-simplify: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937626.574 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937626.574 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937626.574 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.574 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1546937626.574 * [misc]backup-simplify: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 1546937626.574 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1546937626.574 * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 1546937626.575 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 1546937626.575 * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 1546937626.575 * [misc]taylor: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 1546937626.575 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 1546937626.575 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.575 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.575 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.575 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.575 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.575 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.575 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.575 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.575 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.575 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.575 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.575 * [misc]backup-simplify: Simplify 0 into 0 1546937626.575 * [misc]backup-simplify: Simplify 1 into 1 1546937626.575 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.575 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.575 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.575 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.575 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.575 * [misc]backup-simplify: Simplify 0 into 0 1546937626.575 * [misc]backup-simplify: Simplify 1 into 1 1546937626.575 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.576 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.576 * [misc]backup-simplify: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937626.576 * [misc]backup-simplify: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937626.576 * [misc]backup-simplify: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937626.576 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937626.576 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 1546937626.576 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.576 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.576 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1546937626.576 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 1546937626.576 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 1546937626.576 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1546937626.576 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937626.576 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.576 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.577 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.577 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937626.577 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1546937626.577 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937626.577 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.577 * [misc]backup-simplify: Simplify 0 into 0 1546937626.577 * [misc]backup-simplify: Simplify 1 into 1 1546937626.577 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.577 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.577 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1546937626.577 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937626.577 * [misc]backup-simplify: Simplify 2 into 2 1546937626.577 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1546937626.577 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937626.577 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.577 * [misc]backup-simplify: Simplify 0 into 0 1546937626.577 * [misc]backup-simplify: Simplify 1 into 1 1546937626.577 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.577 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.577 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937626.577 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937626.577 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.577 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.577 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.577 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.577 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.577 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.577 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.577 * [misc]backup-simplify: Simplify 0 into 0 1546937626.577 * [misc]backup-simplify: Simplify 1 into 1 1546937626.577 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.578 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.578 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.578 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.578 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.578 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.578 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.578 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.578 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.578 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.578 * [misc]backup-simplify: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937626.578 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937626.578 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937626.579 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.579 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1546937626.579 * [misc]backup-simplify: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 1546937626.579 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1546937626.579 * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 1546937626.579 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 1546937626.579 * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 1546937626.579 * [misc]taylor: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 1546937626.579 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 1546937626.579 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.579 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.579 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.579 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.579 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.579 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.579 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.579 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.580 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.580 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.580 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.580 * [misc]backup-simplify: Simplify 0 into 0 1546937626.580 * [misc]backup-simplify: Simplify 1 into 1 1546937626.580 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.580 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.580 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.580 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.580 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.580 * [misc]backup-simplify: Simplify 0 into 0 1546937626.580 * [misc]backup-simplify: Simplify 1 into 1 1546937626.580 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.580 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.580 * [misc]backup-simplify: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937626.581 * [misc]backup-simplify: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937626.581 * [misc]backup-simplify: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937626.581 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937626.582 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937626.582 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937626.582 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937626.582 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.582 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937626.583 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937626.583 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937626.583 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.583 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.584 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937626.584 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937626.584 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937626.584 * [misc]backup-simplify: Simplify 0 into 0 1546937626.585 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937626.585 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937626.585 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937626.585 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937626.585 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.586 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937626.586 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937626.586 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937626.586 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.587 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.587 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937626.587 * [misc]backup-simplify: Simplify 0 into 0 1546937626.587 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.587 * [misc]backup-simplify: Simplify 0 into 0 1546937626.587 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.587 * [misc]backup-simplify: Simplify 0 into 0 1546937626.587 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937626.587 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.587 * [misc]backup-simplify: Simplify 0 into 0 1546937626.587 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.587 * [misc]backup-simplify: Simplify 0 into 0 1546937626.587 * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937626.587 * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937626.588 * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2)))))) (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) 1)))) (+ (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* 1 (/ 1 lambda1))))) (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* (/ 1 (/ 1 lambda2)) (pow (/ 1 lambda1) 2))))))) into (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) 1546937626.589 * [misc]backup-simplify: Simplify (sqrt (+ (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))))) into (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) 1546937626.589 * [misc]approximate: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in (lambda1 lambda2 phi1 phi2) around 0 1546937626.589 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi2 1546937626.589 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi2 1546937626.589 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi2 1546937626.589 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 1546937626.589 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi2 1546937626.589 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.589 * [misc]backup-simplify: Simplify 0 into 0 1546937626.589 * [misc]backup-simplify: Simplify 1 into 1 1546937626.589 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.589 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.589 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi2 1546937626.589 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 1546937626.589 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi2 1546937626.589 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.589 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.589 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937626.589 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937626.589 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi2 1546937626.589 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 1546937626.589 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937626.590 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.590 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.590 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937626.590 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.590 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.590 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.590 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.590 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.590 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.590 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.590 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.590 * [misc]backup-simplify: Simplify 0 into 0 1546937626.590 * [misc]backup-simplify: Simplify 1 into 1 1546937626.590 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.590 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.590 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.590 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.590 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in phi2 1546937626.590 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937626.590 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.590 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.590 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937626.591 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1546937626.591 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 1546937626.591 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937626.591 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.591 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.591 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937626.591 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.591 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.591 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.591 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.591 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.591 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.591 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.591 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.591 * [misc]backup-simplify: Simplify 0 into 0 1546937626.591 * [misc]backup-simplify: Simplify 1 into 1 1546937626.591 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.591 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.591 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.591 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.591 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in phi2 1546937626.591 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937626.591 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.592 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.592 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937626.592 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937626.592 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi2 1546937626.592 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 1546937626.592 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937626.592 * [misc]backup-simplify: Simplify 2 into 2 1546937626.592 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 1546937626.592 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi2 1546937626.592 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.592 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.592 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.592 * [misc]backup-simplify: Simplify 0 into 0 1546937626.592 * [misc]backup-simplify: Simplify 1 into 1 1546937626.592 * [misc]backup-simplify: Simplify (* phi1 0) into 0 1546937626.592 * [misc]backup-simplify: Simplify (+ (* phi1 1) (* 0 0)) into phi1 1546937626.592 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.592 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi2 1546937626.592 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937626.592 * [misc]backup-simplify: Simplify 2 into 2 1546937626.592 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi2 1546937626.592 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937626.592 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.592 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.592 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937626.592 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.592 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.592 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.592 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.592 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.592 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.592 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.592 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.592 * [misc]backup-simplify: Simplify 0 into 0 1546937626.592 * [misc]backup-simplify: Simplify 1 into 1 1546937626.593 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.593 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.593 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.593 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.593 * [misc]taylor: Taking taylor expansion of (* lambda1 lambda2) in phi2 1546937626.593 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937626.593 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.593 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937626.593 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.593 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.593 * [misc]backup-simplify: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 1546937626.593 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 1546937626.593 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.593 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.594 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1546937626.594 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937626.594 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937626.594 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.594 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1) 1546937626.594 * [misc]backup-simplify: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1)) 1546937626.594 * [misc]backup-simplify: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1))) 1546937626.594 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) 1546937626.594 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) 1546937626.594 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi1 1546937626.594 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi1 1546937626.594 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi1 1546937626.594 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1546937626.595 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937626.595 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.595 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.595 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.595 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937626.595 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi1 1546937626.595 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1546937626.595 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937626.595 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.595 * [misc]backup-simplify: Simplify 0 into 0 1546937626.595 * [misc]backup-simplify: Simplify 1 into 1 1546937626.595 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.595 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.595 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi1 1546937626.595 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 1546937626.595 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937626.595 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.595 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.595 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937626.595 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.595 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.595 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.595 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.595 * [misc]backup-simplify: Simplify 0 into 0 1546937626.595 * [misc]backup-simplify: Simplify 1 into 1 1546937626.595 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.595 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.595 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.595 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.595 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.595 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.596 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.596 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.596 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in phi1 1546937626.596 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937626.596 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.596 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.596 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937626.596 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1546937626.596 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 1546937626.596 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937626.596 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.596 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.596 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937626.596 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.596 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.596 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.596 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.596 * [misc]backup-simplify: Simplify 0 into 0 1546937626.596 * [misc]backup-simplify: Simplify 1 into 1 1546937626.596 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.596 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.596 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.596 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.596 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.597 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.597 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.597 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.597 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in phi1 1546937626.597 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937626.597 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.597 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.597 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937626.597 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937626.597 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi1 1546937626.597 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1546937626.597 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937626.597 * [misc]backup-simplify: Simplify 2 into 2 1546937626.597 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1546937626.597 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937626.597 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.597 * [misc]backup-simplify: Simplify 0 into 0 1546937626.597 * [misc]backup-simplify: Simplify 1 into 1 1546937626.597 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.597 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.597 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937626.597 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937626.598 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.598 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi1 1546937626.598 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937626.598 * [misc]backup-simplify: Simplify 2 into 2 1546937626.598 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi1 1546937626.598 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937626.598 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.598 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.598 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937626.598 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.598 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.598 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.598 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.598 * [misc]backup-simplify: Simplify 0 into 0 1546937626.598 * [misc]backup-simplify: Simplify 1 into 1 1546937626.598 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.598 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.598 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.598 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.598 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.598 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.598 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.598 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.598 * [misc]taylor: Taking taylor expansion of (* lambda1 lambda2) in phi1 1546937626.598 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937626.598 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.598 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937626.598 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.598 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.599 * [misc]backup-simplify: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 1546937626.599 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 1546937626.599 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.599 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.599 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.599 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1546937626.599 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937626.599 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937626.599 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.600 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.600 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1546937626.600 * [misc]backup-simplify: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2)) 1546937626.600 * [misc]backup-simplify: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2))) 1546937626.600 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1546937626.600 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) 1546937626.600 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda2 1546937626.600 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda2 1546937626.600 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda2 1546937626.600 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 1546937626.600 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937626.600 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.600 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.600 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.600 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937626.600 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda2 1546937626.600 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 1546937626.600 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937626.600 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.600 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.600 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937626.600 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937626.600 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda2 1546937626.600 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 1546937626.600 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937626.601 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.601 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.601 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937626.601 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.601 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.601 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.601 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.601 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.601 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.601 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.601 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.601 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.601 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.601 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.601 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.601 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.601 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.601 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.601 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.601 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.601 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.601 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in lambda2 1546937626.601 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937626.601 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.602 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.602 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937626.602 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1546937626.602 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 1546937626.602 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937626.602 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.602 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.602 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937626.602 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.602 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.602 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.602 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.602 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.602 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.602 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.602 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.602 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.602 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.602 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.602 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.602 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.602 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.603 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.603 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.603 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.603 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.603 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937626.603 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.603 * [misc]backup-simplify: Simplify 0 into 0 1546937626.603 * [misc]backup-simplify: Simplify 1 into 1 1546937626.603 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.603 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.603 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.603 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda2 1546937626.603 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 1546937626.603 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937626.603 * [misc]backup-simplify: Simplify 2 into 2 1546937626.603 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 1546937626.603 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937626.603 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.604 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.604 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.604 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.604 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937626.604 * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1546937626.604 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda2 1546937626.604 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937626.604 * [misc]backup-simplify: Simplify 2 into 2 1546937626.604 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda2 1546937626.604 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937626.604 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.604 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.604 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937626.604 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.604 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.604 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.604 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.604 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.604 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.604 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.604 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.604 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.604 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.604 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.604 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.604 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.604 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.604 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.604 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.605 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.605 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.605 * [misc]taylor: Taking taylor expansion of (* lambda1 lambda2) in lambda2 1546937626.605 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937626.605 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.605 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.605 * [misc]backup-simplify: Simplify 0 into 0 1546937626.605 * [misc]backup-simplify: Simplify 1 into 1 1546937626.605 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.605 * [misc]backup-simplify: Simplify (* lambda1 0) into 0 1546937626.605 * [misc]backup-simplify: Simplify (+ (* lambda1 1) (* 0 0)) into lambda1 1546937626.605 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 1546937626.605 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.606 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.606 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.606 * [misc]backup-simplify: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.606 * [misc]backup-simplify: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.606 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.606 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937626.606 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937626.606 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937626.607 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.607 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937626.608 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.608 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937626.608 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.608 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.608 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937626.608 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937626.609 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1546937626.609 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.609 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.609 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.609 * [misc]backup-simplify: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 1546937626.609 * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 1546937626.609 * [misc]backup-simplify: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 1546937626.610 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 1546937626.610 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) 1546937626.610 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 1546937626.610 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 1546937626.610 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 1546937626.610 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 1546937626.610 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda1 1546937626.610 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.610 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.610 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.610 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937626.610 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 1546937626.610 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 1546937626.610 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda1 1546937626.610 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.610 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.610 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937626.611 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937626.611 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 1546937626.611 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 1546937626.611 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937626.611 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937626.611 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937626.611 * [misc]taylor: Taking taylor expansion of -1/2 in lambda1 1546937626.611 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.611 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937626.611 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937626.611 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.611 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.611 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.611 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937626.611 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.611 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.611 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.611 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.611 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.611 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.611 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.611 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.611 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.611 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.612 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.612 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in lambda1 1546937626.612 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937626.612 * [misc]backup-simplify: Simplify 0 into 0 1546937626.612 * [misc]backup-simplify: Simplify 1 into 1 1546937626.612 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.612 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.612 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.612 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 1546937626.612 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937626.612 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937626.612 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937626.612 * [misc]taylor: Taking taylor expansion of -1/2 in lambda1 1546937626.612 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.612 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937626.612 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937626.612 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.612 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.612 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.612 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937626.612 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.612 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.612 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.613 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.613 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.613 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.613 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.613 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.613 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.613 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.613 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.613 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda1 1546937626.613 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937626.613 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.613 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.613 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937626.614 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937626.614 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 1546937626.614 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 1546937626.614 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937626.614 * [misc]backup-simplify: Simplify 2 into 2 1546937626.614 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 1546937626.614 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda1 1546937626.614 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.614 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.614 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.614 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.614 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937626.614 * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1546937626.614 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 1546937626.614 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937626.614 * [misc]backup-simplify: Simplify 2 into 2 1546937626.614 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 1546937626.614 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937626.614 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937626.614 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937626.614 * [misc]taylor: Taking taylor expansion of -1/2 in lambda1 1546937626.614 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.614 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937626.614 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937626.614 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.614 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.614 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.614 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937626.614 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.614 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.614 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.614 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.614 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.614 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.614 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.614 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.615 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.615 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.615 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.615 * [misc]taylor: Taking taylor expansion of (* lambda1 lambda2) in lambda1 1546937626.615 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937626.615 * [misc]backup-simplify: Simplify 0 into 0 1546937626.615 * [misc]backup-simplify: Simplify 1 into 1 1546937626.615 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937626.615 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.615 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.615 * [misc]backup-simplify: Simplify (* 0 lambda2) into 0 1546937626.615 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 1546937626.615 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 1546937626.615 * [misc]backup-simplify: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.616 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.616 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.616 * [misc]backup-simplify: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.616 * [misc]backup-simplify: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.616 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.616 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937626.616 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937626.616 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937626.617 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.617 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937626.617 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.618 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937626.618 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.618 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.618 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937626.618 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937626.618 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1546937626.619 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.619 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.619 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.619 * [misc]backup-simplify: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1546937626.619 * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1546937626.619 * [misc]backup-simplify: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937626.620 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937626.620 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 1546937626.620 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 1546937626.620 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 1546937626.620 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 1546937626.620 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 1546937626.620 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda1 1546937626.620 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.620 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.620 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.620 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937626.620 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 1546937626.620 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 1546937626.620 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda1 1546937626.620 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.620 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.620 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937626.620 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937626.620 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 1546937626.620 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 1546937626.620 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937626.620 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937626.620 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937626.620 * [misc]taylor: Taking taylor expansion of -1/2 in lambda1 1546937626.620 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.620 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937626.620 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937626.620 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.620 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.621 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.621 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937626.621 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.621 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.621 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.621 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.621 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.621 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.621 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.621 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.621 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.621 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.621 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.621 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in lambda1 1546937626.621 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937626.621 * [misc]backup-simplify: Simplify 0 into 0 1546937626.621 * [misc]backup-simplify: Simplify 1 into 1 1546937626.622 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.622 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.622 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.622 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 1546937626.622 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937626.622 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937626.622 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937626.622 * [misc]taylor: Taking taylor expansion of -1/2 in lambda1 1546937626.622 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.622 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937626.622 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937626.622 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.622 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.622 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.622 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937626.622 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.622 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.622 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.622 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.622 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.622 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.622 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.622 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.623 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.623 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.623 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.623 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda1 1546937626.623 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937626.623 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.623 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.623 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937626.623 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937626.623 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 1546937626.623 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 1546937626.623 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937626.623 * [misc]backup-simplify: Simplify 2 into 2 1546937626.623 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 1546937626.623 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda1 1546937626.623 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.623 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.623 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.623 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.623 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937626.623 * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1546937626.623 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 1546937626.623 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937626.623 * [misc]backup-simplify: Simplify 2 into 2 1546937626.624 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 1546937626.624 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937626.624 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937626.624 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937626.624 * [misc]taylor: Taking taylor expansion of -1/2 in lambda1 1546937626.624 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.624 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937626.624 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937626.624 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.624 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.624 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.624 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937626.624 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.624 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.624 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.624 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.624 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.624 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.624 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.624 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.624 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.624 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.624 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.624 * [misc]taylor: Taking taylor expansion of (* lambda1 lambda2) in lambda1 1546937626.625 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937626.625 * [misc]backup-simplify: Simplify 0 into 0 1546937626.625 * [misc]backup-simplify: Simplify 1 into 1 1546937626.625 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937626.625 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.625 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.625 * [misc]backup-simplify: Simplify (* 0 lambda2) into 0 1546937626.625 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 1546937626.625 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 1546937626.625 * [misc]backup-simplify: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.625 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.625 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.626 * [misc]backup-simplify: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.626 * [misc]backup-simplify: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.626 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.626 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937626.626 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937626.626 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937626.626 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.626 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937626.628 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.628 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937626.628 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.629 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.629 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937626.629 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937626.629 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1546937626.629 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.629 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.629 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.630 * [misc]backup-simplify: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1546937626.630 * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1546937626.630 * [misc]backup-simplify: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937626.630 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937626.630 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 1546937626.631 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.631 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.631 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937626.631 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.631 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.631 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.631 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.631 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.631 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.631 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.631 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.631 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.631 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.631 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.631 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.631 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.631 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.631 * [misc]taylor: Taking taylor expansion of (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2 1546937626.631 * [misc]taylor: Taking taylor expansion of -1 in lambda2 1546937626.631 * [misc]backup-simplify: Simplify -1 into -1 1546937626.631 * [misc]taylor: Taking taylor expansion of (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2 1546937626.631 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.631 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.631 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937626.631 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.631 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.631 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.631 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.631 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.631 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.631 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.631 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.631 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.631 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.632 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.632 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.632 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.632 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.632 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.632 * [misc]backup-simplify: Simplify 0 into 0 1546937626.632 * [misc]backup-simplify: Simplify 1 into 1 1546937626.632 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.632 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.632 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.632 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.632 * [misc]backup-simplify: Simplify (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.632 * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937626.632 * [misc]taylor: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1546937626.632 * [misc]taylor: Taking taylor expansion of -1 in phi1 1546937626.633 * [misc]backup-simplify: Simplify -1 into -1 1546937626.633 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.633 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.633 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937626.633 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.633 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.633 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.633 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.633 * [misc]backup-simplify: Simplify 0 into 0 1546937626.633 * [misc]backup-simplify: Simplify 1 into 1 1546937626.633 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.633 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.633 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.633 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.633 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.633 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.633 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.633 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.633 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.633 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.633 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.634 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.634 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.634 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.634 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937626.634 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.634 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.634 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.634 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.634 * [misc]backup-simplify: Simplify 0 into 0 1546937626.634 * [misc]backup-simplify: Simplify 1 into 1 1546937626.634 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.634 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.634 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.634 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.634 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.634 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.634 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.634 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.635 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937626.635 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937626.635 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937626.635 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937626.636 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.636 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937626.636 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937626.637 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937626.637 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.637 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.637 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937626.637 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1546937626.638 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937626.638 * [misc]backup-simplify: Simplify (+ 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937626.638 * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1546937626.638 * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) into (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) 1546937626.638 * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1546937626.638 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.639 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937626.639 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937626.639 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937626.639 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.639 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937626.640 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.640 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937626.641 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.641 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.641 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937626.641 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 lambda2))) into 0 1546937626.642 * [misc]backup-simplify: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 1546937626.642 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 1546937626.642 * [misc]backup-simplify: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 1546937626.642 * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1546937626.643 * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 1546937626.644 * [misc]backup-simplify: Simplify (/ (- (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937626.644 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 1546937626.644 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.644 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.644 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 1546937626.644 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 1546937626.645 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2 1546937626.645 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 1546937626.645 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937626.645 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.645 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.645 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.645 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937626.645 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 1546937626.645 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937626.645 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.645 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.645 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937626.645 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937626.645 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 1546937626.645 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937626.645 * [misc]backup-simplify: Simplify 2 into 2 1546937626.645 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 1546937626.645 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937626.645 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.645 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.645 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.645 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.645 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937626.645 * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1546937626.645 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.646 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.646 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937626.646 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.646 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.646 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.646 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.646 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.646 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.646 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.646 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.646 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.646 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.646 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.646 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.646 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.646 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.647 * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1546937626.647 * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1546937626.647 * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1546937626.647 * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 1546937626.647 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.647 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.648 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.648 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.648 * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937626.648 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.649 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937626.649 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937626.649 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937626.649 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.649 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937626.650 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.651 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937626.651 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.651 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.652 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0 1546937626.652 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937626.652 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937626.652 * [misc]backup-simplify: Simplify 0 into 0 1546937626.652 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.652 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937626.653 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937626.653 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937626.653 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.653 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937626.654 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.654 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937626.655 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.655 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.655 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937626.655 * [misc]backup-simplify: Simplify 0 into 0 1546937626.655 * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937626.655 * [misc]taylor: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2 1546937626.655 * [misc]taylor: Taking taylor expansion of -1 in phi2 1546937626.655 * [misc]backup-simplify: Simplify -1 into -1 1546937626.655 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.655 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.655 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937626.655 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.655 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.655 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.655 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.655 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.655 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.655 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.655 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.655 * [misc]backup-simplify: Simplify 0 into 0 1546937626.655 * [misc]backup-simplify: Simplify 1 into 1 1546937626.656 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.656 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.656 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.656 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.656 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.656 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.656 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937626.656 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.656 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.656 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.656 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.656 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.656 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.656 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.656 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.656 * [misc]backup-simplify: Simplify 0 into 0 1546937626.657 * [misc]backup-simplify: Simplify 1 into 1 1546937626.657 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.657 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.657 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.657 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.657 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937626.657 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 1546937626.658 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937626.658 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 1546937626.659 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1546937626.660 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1546937626.660 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937626.660 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937626.660 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.661 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937626.663 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937626.664 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1546937626.664 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.664 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.665 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0 1546937626.665 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1546937626.666 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937626.666 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.666 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937626.666 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937626.666 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937626.667 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.667 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937626.668 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.668 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937626.668 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.668 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.669 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937626.669 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1546937626.669 * [misc]backup-simplify: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0 1546937626.669 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.670 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.670 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.670 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1546937626.670 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 1546937626.670 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 1546937626.671 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937626.672 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937626.672 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937626.672 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937626.672 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.673 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937626.674 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937626.674 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937626.674 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.674 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.675 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937626.675 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 lambda2)))) into 0 1546937626.676 * [misc]backup-simplify: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1546937626.676 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0 1546937626.676 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.677 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.677 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.678 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937626.678 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 1546937626.678 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.678 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.678 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 1546937626.678 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2 1546937626.678 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2 1546937626.678 * [misc]taylor: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2 1546937626.678 * [misc]taylor: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2 1546937626.678 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.678 * [misc]backup-simplify: Simplify 0 into 0 1546937626.678 * [misc]backup-simplify: Simplify 1 into 1 1546937626.678 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937626.678 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.678 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.678 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.678 * [misc]backup-simplify: Simplify (* 0 (pow phi2 2)) into 0 1546937626.679 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937626.679 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2) 1546937626.679 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937626.679 * [misc]taylor: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2 1546937626.679 * [misc]taylor: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2 1546937626.679 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.679 * [misc]backup-simplify: Simplify 0 into 0 1546937626.679 * [misc]backup-simplify: Simplify 1 into 1 1546937626.679 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937626.679 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.679 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.679 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937626.679 * [misc]backup-simplify: Simplify (* 0 (pow phi1 2)) into 0 1546937626.679 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937626.680 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2) 1546937626.680 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937626.680 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2 1546937626.680 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937626.680 * [misc]backup-simplify: Simplify 2 into 2 1546937626.680 * [misc]taylor: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2 1546937626.680 * [misc]taylor: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2 1546937626.680 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.680 * [misc]backup-simplify: Simplify 0 into 0 1546937626.680 * [misc]backup-simplify: Simplify 1 into 1 1546937626.680 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937626.680 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.680 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.680 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.680 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.680 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937626.680 * [misc]backup-simplify: Simplify (* 0 (* phi1 phi2)) into 0 1546937626.680 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1546937626.680 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2) 1546937626.681 * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1546937626.681 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.681 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.681 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937626.681 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.681 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.681 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.681 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.681 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.681 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.681 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.681 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.681 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.681 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.681 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.681 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.681 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.682 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.682 * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1546937626.682 * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1546937626.682 * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1546937626.682 * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 1546937626.682 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.683 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.683 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.683 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.683 * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937626.684 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937626.684 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 1546937626.684 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.684 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.684 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1546937626.684 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 1546937626.684 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 1546937626.684 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1546937626.684 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937626.684 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.684 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.684 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.684 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937626.684 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1546937626.684 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937626.684 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.684 * [misc]backup-simplify: Simplify 0 into 0 1546937626.684 * [misc]backup-simplify: Simplify 1 into 1 1546937626.685 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.685 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.685 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1546937626.685 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937626.685 * [misc]backup-simplify: Simplify 2 into 2 1546937626.685 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1546937626.685 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937626.685 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.685 * [misc]backup-simplify: Simplify 0 into 0 1546937626.685 * [misc]backup-simplify: Simplify 1 into 1 1546937626.685 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.685 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.685 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937626.685 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937626.685 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.685 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.685 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.685 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937626.685 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.686 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.686 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.686 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.686 * [misc]backup-simplify: Simplify 0 into 0 1546937626.686 * [misc]backup-simplify: Simplify 1 into 1 1546937626.686 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.686 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.686 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.686 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.686 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.686 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.686 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.686 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.687 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.687 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.687 * [misc]backup-simplify: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937626.687 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937626.687 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937626.688 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.688 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1546937626.688 * [misc]backup-simplify: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 1546937626.688 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1546937626.688 * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 1546937626.689 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 1546937626.689 * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 1546937626.689 * [misc]taylor: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 1546937626.689 * [misc]taylor: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 1546937626.689 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.689 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.689 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937626.689 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.689 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.689 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.689 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.689 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.689 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.689 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.689 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.689 * [misc]backup-simplify: Simplify 0 into 0 1546937626.689 * [misc]backup-simplify: Simplify 1 into 1 1546937626.690 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.690 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.690 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.690 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.690 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.690 * [misc]backup-simplify: Simplify 0 into 0 1546937626.690 * [misc]backup-simplify: Simplify 1 into 1 1546937626.690 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.691 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.691 * [misc]backup-simplify: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937626.691 * [misc]backup-simplify: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937626.691 * [misc]backup-simplify: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937626.692 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937626.692 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 1546937626.692 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.692 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.692 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1546937626.692 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 1546937626.692 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 1546937626.692 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1546937626.692 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937626.692 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.692 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.692 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937626.692 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937626.692 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1546937626.692 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937626.692 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.692 * [misc]backup-simplify: Simplify 0 into 0 1546937626.692 * [misc]backup-simplify: Simplify 1 into 1 1546937626.693 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.693 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.693 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1546937626.693 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937626.693 * [misc]backup-simplify: Simplify 2 into 2 1546937626.693 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1546937626.693 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937626.693 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.693 * [misc]backup-simplify: Simplify 0 into 0 1546937626.693 * [misc]backup-simplify: Simplify 1 into 1 1546937626.693 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.693 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.693 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937626.693 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937626.693 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.693 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.693 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.693 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937626.693 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.693 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.693 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.693 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.693 * [misc]backup-simplify: Simplify 0 into 0 1546937626.694 * [misc]backup-simplify: Simplify 1 into 1 1546937626.694 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.694 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.694 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.694 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.694 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.694 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.694 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.694 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.694 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.695 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.695 * [misc]backup-simplify: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937626.695 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937626.695 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937626.695 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.695 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1546937626.695 * [misc]backup-simplify: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 1546937626.696 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1546937626.696 * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 1546937626.697 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 1546937626.697 * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 1546937626.697 * [misc]taylor: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 1546937626.697 * [misc]taylor: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 1546937626.697 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.697 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.697 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937626.697 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.697 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.697 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.697 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.697 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.697 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.697 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.697 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.697 * [misc]backup-simplify: Simplify 0 into 0 1546937626.697 * [misc]backup-simplify: Simplify 1 into 1 1546937626.697 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.697 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.698 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.698 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.698 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.698 * [misc]backup-simplify: Simplify 0 into 0 1546937626.698 * [misc]backup-simplify: Simplify 1 into 1 1546937626.698 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.698 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.698 * [misc]backup-simplify: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937626.699 * [misc]backup-simplify: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937626.699 * [misc]backup-simplify: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937626.700 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937626.701 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937626.701 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937626.701 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937626.701 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.701 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937626.702 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937626.703 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937626.703 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.703 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.704 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937626.704 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937626.704 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937626.704 * [misc]backup-simplify: Simplify 0 into 0 1546937626.706 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937626.706 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937626.706 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937626.707 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937626.707 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.707 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937626.708 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937626.709 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937626.709 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.709 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.709 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937626.709 * [misc]backup-simplify: Simplify 0 into 0 1546937626.709 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.709 * [misc]backup-simplify: Simplify 0 into 0 1546937626.709 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.709 * [misc]backup-simplify: Simplify 0 into 0 1546937626.709 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937626.709 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.710 * [misc]backup-simplify: Simplify 0 into 0 1546937626.710 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.710 * [misc]backup-simplify: Simplify 0 into 0 1546937626.710 * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937626.710 * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937626.712 * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2))))))) (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) 1)))) (+ (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* 1 (/ 1 (- lambda1)))))) (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* (/ 1 (/ 1 (- lambda2))) (pow (/ 1 (- lambda1)) 2))))))) into (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))) 1546937626.712 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 2 2) 1546937626.712 * [misc]backup-simplify: Simplify (cos (/ (+ phi1 phi2) 2)) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.712 * [misc]approximate: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in (phi1 phi2) around 0 1546937626.712 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1546937626.712 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1546937626.712 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.712 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.712 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 1546937626.712 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.712 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.712 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.712 * [misc]backup-simplify: Simplify 0 into 0 1546937626.712 * [misc]backup-simplify: Simplify 1 into 1 1546937626.712 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 1546937626.712 * [misc]backup-simplify: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1546937626.712 * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1546937626.712 * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1546937626.712 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937626.712 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937626.713 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.713 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937626.713 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.713 * [misc]backup-simplify: Simplify 0 into 0 1546937626.713 * [misc]backup-simplify: Simplify 1 into 1 1546937626.713 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.713 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.713 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937626.713 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937626.713 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937626.713 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937626.713 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937626.713 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937626.713 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.713 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937626.713 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.713 * [misc]backup-simplify: Simplify 0 into 0 1546937626.713 * [misc]backup-simplify: Simplify 1 into 1 1546937626.713 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.713 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.713 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937626.713 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937626.713 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937626.713 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937626.714 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937626.714 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937626.714 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.714 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937626.714 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937626.714 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937626.714 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.714 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.714 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.714 * [misc]backup-simplify: Simplify 0 into 0 1546937626.714 * [misc]backup-simplify: Simplify 1 into 1 1546937626.714 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937626.715 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937626.715 * [misc]backup-simplify: Simplify 1 into 1 1546937626.715 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.715 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 1546937626.716 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.716 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 1546937626.717 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937626.717 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 1546937626.718 * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937626.718 * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937626.718 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2 1546937626.718 * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2 1546937626.718 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.718 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.718 * [misc]taylor: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 1546937626.718 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937626.718 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.718 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.718 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.718 * [misc]backup-simplify: Simplify 0 into 0 1546937626.718 * [misc]backup-simplify: Simplify 1 into 1 1546937626.718 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937626.718 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937626.719 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937626.719 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.719 * [misc]backup-simplify: Simplify 0 into 0 1546937626.719 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.719 * [misc]backup-simplify: Simplify 0 into 0 1546937626.720 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) 1546937626.721 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2)))) 1546937626.721 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.721 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 phi2))) into 0 1546937626.722 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937626.722 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 1546937626.723 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.723 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2)))) 1546937626.723 * [misc]taylor: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2 1546937626.723 * [misc]taylor: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2 1546937626.723 * [misc]taylor: Taking taylor expansion of 1/8 in phi2 1546937626.723 * [misc]backup-simplify: Simplify 1/8 into 1/8 1546937626.723 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937626.723 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937626.723 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.723 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.723 * [misc]backup-simplify: Simplify 0 into 0 1546937626.723 * [misc]backup-simplify: Simplify 1 into 1 1546937626.723 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937626.724 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937626.724 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 1546937626.724 * [misc]backup-simplify: Simplify (- 1/8) into -1/8 1546937626.724 * [misc]backup-simplify: Simplify -1/8 into -1/8 1546937626.725 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937626.725 * [misc]backup-simplify: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4 1546937626.725 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 1546937626.726 * [misc]backup-simplify: Simplify -1/4 into -1/4 1546937626.726 * [misc]backup-simplify: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 1546937626.726 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.726 * [misc]approximate: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 1546937626.726 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.726 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.726 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.726 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.726 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.726 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.726 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.726 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.726 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.726 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.726 * [misc]backup-simplify: Simplify 0 into 0 1546937626.726 * [misc]backup-simplify: Simplify 1 into 1 1546937626.727 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.727 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.727 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.727 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.727 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.727 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.727 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.727 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.727 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.727 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.727 * [misc]backup-simplify: Simplify 0 into 0 1546937626.727 * [misc]backup-simplify: Simplify 1 into 1 1546937626.728 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.728 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.728 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.728 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.728 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.728 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.728 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.728 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.728 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.728 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.728 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.728 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.728 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.728 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.728 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.728 * [misc]backup-simplify: Simplify 0 into 0 1546937626.728 * [misc]backup-simplify: Simplify 1 into 1 1546937626.729 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.729 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.729 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.729 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.729 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.729 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.729 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.729 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.729 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.729 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.729 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.730 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.730 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.730 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.730 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.730 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.730 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.730 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.730 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.730 * [misc]backup-simplify: Simplify 0 into 0 1546937626.730 * [misc]backup-simplify: Simplify 1 into 1 1546937626.730 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.730 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.730 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.730 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.731 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.731 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.731 * [misc]backup-simplify: Simplify 0 into 0 1546937626.731 * [misc]backup-simplify: Simplify 0 into 0 1546937626.731 * [misc]backup-simplify: Simplify 0 into 0 1546937626.731 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.731 * [misc]backup-simplify: Simplify 0 into 0 1546937626.731 * [misc]backup-simplify: Simplify 0 into 0 1546937626.731 * [misc]backup-simplify: Simplify 0 into 0 1546937626.731 * [misc]backup-simplify: Simplify 0 into 0 1546937626.731 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.731 * [misc]backup-simplify: Simplify 0 into 0 1546937626.731 * [misc]backup-simplify: Simplify 0 into 0 1546937626.731 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.731 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.731 * [misc]approximate: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 1546937626.731 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.732 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.732 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937626.732 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.732 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.732 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.732 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.732 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.732 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.732 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.732 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.732 * [misc]backup-simplify: Simplify 0 into 0 1546937626.732 * [misc]backup-simplify: Simplify 1 into 1 1546937626.732 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.732 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.732 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.732 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.733 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.733 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.733 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937626.733 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.733 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.733 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.733 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.733 * [misc]backup-simplify: Simplify 0 into 0 1546937626.733 * [misc]backup-simplify: Simplify 1 into 1 1546937626.733 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.733 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.733 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.733 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.733 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.733 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.733 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.734 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.734 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.734 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.734 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937626.734 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.734 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.734 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.734 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.734 * [misc]backup-simplify: Simplify 0 into 0 1546937626.734 * [misc]backup-simplify: Simplify 1 into 1 1546937626.734 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.734 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.734 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.734 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.734 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.734 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.734 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.735 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.735 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.735 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.735 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937626.735 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.735 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.735 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.735 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.735 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.735 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.735 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.735 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.735 * [misc]backup-simplify: Simplify 0 into 0 1546937626.735 * [misc]backup-simplify: Simplify 1 into 1 1546937626.735 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.735 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.736 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.736 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.736 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.736 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.736 * [misc]backup-simplify: Simplify 0 into 0 1546937626.736 * [misc]backup-simplify: Simplify 0 into 0 1546937626.736 * [misc]backup-simplify: Simplify 0 into 0 1546937626.736 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.736 * [misc]backup-simplify: Simplify 0 into 0 1546937626.736 * [misc]backup-simplify: Simplify 0 into 0 1546937626.736 * [misc]backup-simplify: Simplify 0 into 0 1546937626.736 * [misc]backup-simplify: Simplify 0 into 0 1546937626.736 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.736 * [misc]backup-simplify: Simplify 0 into 0 1546937626.736 * [misc]backup-simplify: Simplify 0 into 0 1546937626.737 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.737 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1 2) 1546937626.737 * [misc]backup-simplify: Simplify (cos (/ (+ phi1 phi2) 2)) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.737 * [misc]approximate: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in (phi1 phi2) around 0 1546937626.737 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1546937626.737 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1546937626.737 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.737 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.737 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 1546937626.737 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.737 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.737 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.737 * [misc]backup-simplify: Simplify 0 into 0 1546937626.737 * [misc]backup-simplify: Simplify 1 into 1 1546937626.737 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 1546937626.737 * [misc]backup-simplify: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1546937626.737 * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1546937626.737 * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1546937626.737 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937626.738 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937626.738 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.738 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.738 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937626.738 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.738 * [misc]backup-simplify: Simplify 0 into 0 1546937626.738 * [misc]backup-simplify: Simplify 1 into 1 1546937626.738 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.738 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.738 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937626.738 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937626.738 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937626.738 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937626.738 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937626.738 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937626.738 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.738 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.738 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937626.738 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.738 * [misc]backup-simplify: Simplify 0 into 0 1546937626.738 * [misc]backup-simplify: Simplify 1 into 1 1546937626.738 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.738 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.738 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937626.738 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937626.738 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937626.739 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937626.739 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937626.739 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937626.739 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.739 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937626.739 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937626.739 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937626.739 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.739 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.739 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.739 * [misc]backup-simplify: Simplify 0 into 0 1546937626.739 * [misc]backup-simplify: Simplify 1 into 1 1546937626.740 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937626.740 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937626.740 * [misc]backup-simplify: Simplify 1 into 1 1546937626.740 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.740 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 1546937626.740 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.741 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 1546937626.742 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937626.742 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 1546937626.742 * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937626.742 * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937626.742 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (* 1/2 phi2)))) in phi2 1546937626.742 * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (* 1/2 phi2))) in phi2 1546937626.742 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.742 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.742 * [misc]taylor: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 1546937626.742 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937626.742 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.742 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.743 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.743 * [misc]backup-simplify: Simplify 0 into 0 1546937626.743 * [misc]backup-simplify: Simplify 1 into 1 1546937626.743 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937626.743 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937626.743 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937626.743 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.743 * [misc]backup-simplify: Simplify 0 into 0 1546937626.743 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.744 * [misc]backup-simplify: Simplify 0 into 0 1546937626.745 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) 1546937626.745 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos (* 1/2 phi2)))) 1546937626.745 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.746 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 phi2))) into 0 1546937626.747 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937626.747 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 0) (+ (* 0 1/2) (* 0 0))) into 0 1546937626.747 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.747 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (cos (* 1/2 phi2)))) 0) into (- (* 1/8 (cos (* 1/2 phi2)))) 1546937626.747 * [misc]taylor: Taking taylor expansion of (- (* 1/8 (cos (* 1/2 phi2)))) in phi2 1546937626.747 * [misc]taylor: Taking taylor expansion of (* 1/8 (cos (* 1/2 phi2))) in phi2 1546937626.747 * [misc]taylor: Taking taylor expansion of 1/8 in phi2 1546937626.747 * [misc]backup-simplify: Simplify 1/8 into 1/8 1546937626.747 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937626.748 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937626.748 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.748 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.748 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.748 * [misc]backup-simplify: Simplify 0 into 0 1546937626.748 * [misc]backup-simplify: Simplify 1 into 1 1546937626.748 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937626.748 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937626.748 * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 1546937626.748 * [misc]backup-simplify: Simplify (- 1/8) into -1/8 1546937626.748 * [misc]backup-simplify: Simplify -1/8 into -1/8 1546937626.750 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937626.750 * [misc]backup-simplify: Simplify (+ (* 1/2 1/2) (* 0 0)) into 1/4 1546937626.750 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 1546937626.750 * [misc]backup-simplify: Simplify -1/4 into -1/4 1546937626.750 * [misc]backup-simplify: Simplify (+ (* -1/4 (* phi2 phi1)) (+ (* -1/8 (pow (* 1 phi1) 2)) 1)) into (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 1546937626.750 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.750 * [misc]approximate: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 1546937626.750 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.751 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.751 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.751 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.751 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.751 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.751 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.751 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.751 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.751 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.751 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.751 * [misc]backup-simplify: Simplify 0 into 0 1546937626.751 * [misc]backup-simplify: Simplify 1 into 1 1546937626.751 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.751 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.751 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.751 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.751 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.751 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.752 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.752 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.752 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.752 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.752 * [misc]backup-simplify: Simplify 0 into 0 1546937626.752 * [misc]backup-simplify: Simplify 1 into 1 1546937626.752 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.752 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.752 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.752 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.752 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.752 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.752 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.753 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.753 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.753 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.753 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.753 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.753 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.753 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.753 * [misc]backup-simplify: Simplify 0 into 0 1546937626.753 * [misc]backup-simplify: Simplify 1 into 1 1546937626.753 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.753 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.753 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.753 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.753 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.753 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.753 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.754 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.754 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.754 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.754 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.754 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.754 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.754 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.754 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.754 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.754 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.754 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.754 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.754 * [misc]backup-simplify: Simplify 0 into 0 1546937626.754 * [misc]backup-simplify: Simplify 1 into 1 1546937626.754 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.754 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.755 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.755 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.755 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.755 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.755 * [misc]backup-simplify: Simplify 0 into 0 1546937626.755 * [misc]backup-simplify: Simplify 0 into 0 1546937626.755 * [misc]backup-simplify: Simplify 0 into 0 1546937626.755 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.755 * [misc]backup-simplify: Simplify 0 into 0 1546937626.755 * [misc]backup-simplify: Simplify 0 into 0 1546937626.755 * [misc]backup-simplify: Simplify 0 into 0 1546937626.755 * [misc]backup-simplify: Simplify 0 into 0 1546937626.755 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.755 * [misc]backup-simplify: Simplify 0 into 0 1546937626.755 * [misc]backup-simplify: Simplify 0 into 0 1546937626.755 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.756 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.756 * [misc]approximate: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in (phi1 phi2) around 0 1546937626.756 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.756 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.756 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937626.756 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.756 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.756 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.756 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.756 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.756 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.756 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.756 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.756 * [misc]backup-simplify: Simplify 0 into 0 1546937626.756 * [misc]backup-simplify: Simplify 1 into 1 1546937626.756 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.756 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.757 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.757 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.757 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.757 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.757 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937626.757 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.757 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.757 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.757 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.757 * [misc]backup-simplify: Simplify 0 into 0 1546937626.757 * [misc]backup-simplify: Simplify 1 into 1 1546937626.757 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.757 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.757 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.757 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.757 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.757 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.758 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.758 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.758 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.758 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.758 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937626.758 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.758 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.758 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.758 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.758 * [misc]backup-simplify: Simplify 0 into 0 1546937626.758 * [misc]backup-simplify: Simplify 1 into 1 1546937626.758 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.758 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.758 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.758 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.758 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.758 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.759 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.759 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.759 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.759 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.759 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937626.759 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.759 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.759 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.759 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.759 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.759 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.759 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.759 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.759 * [misc]backup-simplify: Simplify 0 into 0 1546937626.759 * [misc]backup-simplify: Simplify 1 into 1 1546937626.759 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.760 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.760 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.760 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.760 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.760 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.760 * [misc]backup-simplify: Simplify 0 into 0 1546937626.760 * [misc]backup-simplify: Simplify 0 into 0 1546937626.761 * [misc]backup-simplify: Simplify 0 into 0 1546937626.761 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.761 * [misc]backup-simplify: Simplify 0 into 0 1546937626.761 * [misc]backup-simplify: Simplify 0 into 0 1546937626.761 * [misc]backup-simplify: Simplify 0 into 0 1546937626.761 * [misc]backup-simplify: Simplify 0 into 0 1546937626.761 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.761 * [misc]backup-simplify: Simplify 0 into 0 1546937626.761 * [misc]backup-simplify: Simplify 0 into 0 1546937626.761 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.761 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1) 1546937626.762 * [misc]backup-simplify: Simplify (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937626.762 * [misc]approximate: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in (lambda1 lambda2 phi1 phi2) around 0 1546937626.762 * [misc]taylor: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 1546937626.762 * [misc]taylor: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2 1546937626.762 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 1546937626.762 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937626.762 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.762 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937626.762 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.762 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) 1546937626.762 * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1546937626.762 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 1546937626.762 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1546937626.762 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1546937626.762 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.762 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 1546937626.762 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.762 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.762 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.762 * [misc]backup-simplify: Simplify 0 into 0 1546937626.762 * [misc]backup-simplify: Simplify 1 into 1 1546937626.762 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 1546937626.762 * [misc]backup-simplify: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1546937626.762 * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1546937626.763 * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1546937626.763 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 1546937626.763 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 1546937626.763 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.763 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 1546937626.763 * [misc]taylor: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1546937626.763 * [misc]taylor: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi1 1546937626.763 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 1546937626.763 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937626.763 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.763 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937626.763 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.763 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) 1546937626.763 * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1546937626.763 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937626.763 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937626.763 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937626.763 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.764 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.764 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937626.764 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.764 * [misc]backup-simplify: Simplify 0 into 0 1546937626.764 * [misc]backup-simplify: Simplify 1 into 1 1546937626.764 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.764 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.764 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937626.764 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937626.764 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937626.764 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937626.764 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937626.764 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937626.764 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.764 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937626.764 * [misc]taylor: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937626.764 * [misc]taylor: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda2 1546937626.764 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 1546937626.764 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937626.764 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.764 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.765 * [misc]backup-simplify: Simplify 0 into 0 1546937626.765 * [misc]backup-simplify: Simplify 1 into 1 1546937626.765 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.765 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 1546937626.765 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937626.765 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937626.765 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937626.765 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.765 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937626.765 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.765 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.765 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.765 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.765 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.765 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.765 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.765 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.765 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.766 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.766 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.766 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.766 * [misc]taylor: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 1546937626.766 * [misc]taylor: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 1546937626.766 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1546937626.766 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937626.766 * [misc]backup-simplify: Simplify 0 into 0 1546937626.766 * [misc]backup-simplify: Simplify 1 into 1 1546937626.766 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937626.766 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.766 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) 1546937626.766 * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) 1546937626.766 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1546937626.766 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1546937626.766 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1546937626.766 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937626.766 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.766 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 1546937626.766 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.766 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.766 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.766 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.766 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.766 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.767 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.767 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.767 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.767 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.767 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.767 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.767 * [misc]taylor: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 1546937626.767 * [misc]taylor: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 1546937626.768 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1546937626.768 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937626.768 * [misc]backup-simplify: Simplify 0 into 0 1546937626.768 * [misc]backup-simplify: Simplify 1 into 1 1546937626.768 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937626.768 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.768 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) 1546937626.768 * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) 1546937626.768 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1546937626.768 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1546937626.768 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1546937626.768 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937626.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.768 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 1546937626.768 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.768 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.768 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.768 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.768 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.768 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.768 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.768 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.768 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.769 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.769 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.769 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.769 * [misc]backup-simplify: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 1546937626.769 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.769 * [misc]backup-simplify: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937626.769 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937626.769 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937626.769 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.769 * [misc]backup-simplify: Simplify 0 into 0 1546937626.770 * [misc]backup-simplify: Simplify 1 into 1 1546937626.770 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937626.770 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937626.770 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937626.770 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.770 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.770 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937626.770 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.770 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.770 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.770 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.770 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.770 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.770 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.770 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.770 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.770 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.771 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.771 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.771 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.771 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937626.771 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.771 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937626.773 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.773 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937626.773 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.773 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.773 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937626.774 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.774 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.774 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 1) (* 1 (- lambda2))) into (- (* 2 lambda2)) 1546937626.774 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) 0) (* (- (* 2 lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1546937626.774 * [misc]taylor: Taking taylor expansion of (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 1546937626.774 * [misc]taylor: Taking taylor expansion of (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 1546937626.774 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937626.774 * [misc]backup-simplify: Simplify 2 into 2 1546937626.774 * [misc]taylor: Taking taylor expansion of (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937626.774 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.775 * [misc]backup-simplify: Simplify 0 into 0 1546937626.775 * [misc]backup-simplify: Simplify 1 into 1 1546937626.775 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937626.775 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937626.775 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937626.775 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.775 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.775 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937626.775 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.775 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.775 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.775 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.775 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.775 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.775 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.775 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.775 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.775 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.775 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.776 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.776 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.776 * [misc]backup-simplify: Simplify (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into 0 1546937626.776 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546937626.776 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.776 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937626.776 * [misc]backup-simplify: Simplify 0 into 0 1546937626.776 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937626.776 * [misc]backup-simplify: Simplify 0 into 0 1546937626.776 * [misc]backup-simplify: Simplify 0 into 0 1546937626.778 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937626.778 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937626.778 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.779 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 1546937626.780 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937626.780 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937626.780 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.780 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.780 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 1546937626.781 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.781 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.781 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (+ (* 1 1) (* 0 (- lambda2)))) into 1 1546937626.781 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) 0) (+ (* (- (* 2 lambda2)) 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.781 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937626.781 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937626.781 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937626.781 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.781 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.782 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937626.782 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.782 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.782 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.782 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.782 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937626.782 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937626.782 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.782 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937626.782 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.782 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937626.782 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.782 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937626.783 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.783 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937626.783 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937626.783 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937626.783 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.783 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.783 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937626.783 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.783 * [misc]backup-simplify: Simplify 0 into 0 1546937626.783 * [misc]backup-simplify: Simplify 1 into 1 1546937626.783 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.783 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.783 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937626.783 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937626.783 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937626.783 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937626.783 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937626.783 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937626.783 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.784 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937626.784 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937626.784 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937626.784 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937626.784 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937626.784 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.784 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.784 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.784 * [misc]backup-simplify: Simplify 0 into 0 1546937626.784 * [misc]backup-simplify: Simplify 1 into 1 1546937626.784 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937626.784 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937626.784 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.784 * [misc]backup-simplify: Simplify 1 into 1 1546937626.785 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.785 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937626.785 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.785 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937626.786 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.787 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937626.787 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.787 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.787 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937626.788 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.789 * [misc]backup-simplify: Simplify (+ (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 0 0)) into (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937626.789 * [misc]backup-simplify: Simplify (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1546937626.789 * [misc]taylor: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1 1546937626.789 * [misc]taylor: Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1546937626.790 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937626.790 * [misc]backup-simplify: Simplify 2 into 2 1546937626.790 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937626.790 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937626.790 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937626.790 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.790 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937626.790 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.790 * [misc]backup-simplify: Simplify 0 into 0 1546937626.790 * [misc]backup-simplify: Simplify 1 into 1 1546937626.790 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.790 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.790 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937626.790 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937626.790 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937626.790 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937626.790 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937626.790 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937626.790 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.790 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937626.791 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937626.791 * [misc]backup-simplify: Simplify (* 2 (pow (cos (* 1/2 phi2)) 2)) into (* 2 (pow (cos (* 1/2 phi2)) 2)) 1546937626.791 * [misc]backup-simplify: Simplify (- (* 2 (pow (cos (* 1/2 phi2)) 2))) into (- (* 2 (pow (cos (* 1/2 phi2)) 2))) 1546937626.791 * [misc]taylor: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 phi2)) 2))) in phi2 1546937626.791 * [misc]taylor: Taking taylor expansion of (* 2 (pow (cos (* 1/2 phi2)) 2)) in phi2 1546937626.791 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937626.791 * [misc]backup-simplify: Simplify 2 into 2 1546937626.791 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937626.791 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937626.791 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937626.791 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.791 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.791 * [misc]backup-simplify: Simplify 0 into 0 1546937626.791 * [misc]backup-simplify: Simplify 1 into 1 1546937626.791 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937626.792 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937626.792 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.792 * [misc]backup-simplify: Simplify (* 2 1) into 2 1546937626.792 * [misc]backup-simplify: Simplify (- 2) into -2 1546937626.792 * [misc]backup-simplify: Simplify -2 into -2 1546937626.792 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.793 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.793 * [misc]backup-simplify: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937626.793 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937626.793 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937626.793 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937626.793 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.793 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.793 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937626.793 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.793 * [misc]backup-simplify: Simplify 0 into 0 1546937626.793 * [misc]backup-simplify: Simplify 1 into 1 1546937626.793 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.793 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.793 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937626.793 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937626.793 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937626.793 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937626.793 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937626.793 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937626.794 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.794 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937626.794 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937626.794 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937626.794 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937626.794 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937626.794 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.794 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.794 * [misc]backup-simplify: Simplify 0 into 0 1546937626.794 * [misc]backup-simplify: Simplify 1 into 1 1546937626.794 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937626.794 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937626.794 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.795 * [misc]backup-simplify: Simplify 1 into 1 1546937626.795 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (* 1 (* lambda2 1))) 2)) (+ (* -2 (* 1 (* 1 (* lambda2 lambda1)))) (* 1 (pow (* 1 (* 1 (* 1 lambda1))) 2)))) into (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) 1546937626.796 * [misc]backup-simplify: Simplify (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1546937626.796 * [misc]approximate: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in (lambda1 lambda2 phi1 phi2) around 0 1546937626.796 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi2 1546937626.796 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937626.796 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.796 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.796 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.796 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.796 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.796 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.796 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.796 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.796 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.796 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.796 * [misc]backup-simplify: Simplify 0 into 0 1546937626.796 * [misc]backup-simplify: Simplify 1 into 1 1546937626.796 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.797 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.797 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.797 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.797 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi2 1546937626.797 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 1546937626.797 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 1546937626.797 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937626.797 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.797 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937626.797 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 1546937626.797 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937626.797 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.797 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937626.797 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1546937626.797 * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1546937626.797 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi1 1546937626.797 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937626.798 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.798 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.798 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.798 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.798 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.798 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.798 * [misc]backup-simplify: Simplify 0 into 0 1546937626.798 * [misc]backup-simplify: Simplify 1 into 1 1546937626.798 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.798 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.798 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.798 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.798 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.798 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.798 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.798 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.799 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi1 1546937626.799 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 1546937626.799 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 1546937626.799 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937626.799 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.799 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937626.799 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 1546937626.799 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937626.799 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.799 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937626.799 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1546937626.799 * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1546937626.799 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 1546937626.799 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937626.799 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.799 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.799 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.799 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.799 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.799 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.799 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.799 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.799 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.799 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.799 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.799 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.799 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.800 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.800 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.800 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.800 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.800 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.800 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.800 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.801 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.801 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda2 1546937626.801 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1546937626.801 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 1546937626.801 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937626.801 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.801 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937626.801 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 1546937626.801 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.801 * [misc]backup-simplify: Simplify 0 into 0 1546937626.801 * [misc]backup-simplify: Simplify 1 into 1 1546937626.801 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.801 * [misc]backup-simplify: Simplify (- 1) into -1 1546937626.801 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1546937626.801 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 1546937626.801 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937626.801 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937626.801 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937626.802 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937626.802 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.802 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937626.802 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937626.802 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.802 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.802 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.802 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937626.802 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.802 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.802 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.802 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.802 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.802 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.802 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.802 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.803 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.803 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.803 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.803 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 1546937626.803 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1546937626.803 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 1546937626.803 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937626.803 * [misc]backup-simplify: Simplify 0 into 0 1546937626.803 * [misc]backup-simplify: Simplify 1 into 1 1546937626.803 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.803 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 1546937626.803 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937626.803 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.804 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937626.804 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.804 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 1546937626.804 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937626.804 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937626.804 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937626.804 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937626.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.804 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937626.804 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937626.804 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.804 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.804 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.804 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937626.804 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.804 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.804 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.804 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.804 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.805 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.805 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.805 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.805 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.805 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.805 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.805 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 1546937626.805 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1546937626.805 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 1546937626.806 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937626.806 * [misc]backup-simplify: Simplify 0 into 0 1546937626.806 * [misc]backup-simplify: Simplify 1 into 1 1546937626.806 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.806 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 1546937626.806 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937626.806 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.806 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937626.806 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.806 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.807 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.807 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.807 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937626.807 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.807 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.807 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.807 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.807 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.807 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.807 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.807 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.807 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.807 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.807 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.807 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.807 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.807 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.807 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.808 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.808 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.808 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.808 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.808 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.808 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.809 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937626.809 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1546937626.809 * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) 1546937626.809 * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 lambda2))) (* (- (/ 1 lambda2)) 1)) into (- (* 2 (/ 1 lambda2))) 1546937626.809 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.809 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937626.810 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937626.810 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937626.810 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.810 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937626.811 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.812 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937626.812 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.812 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.812 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937626.813 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937626.813 * [misc]taylor: Taking taylor expansion of (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) in lambda2 1546937626.813 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) in lambda2 1546937626.813 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937626.813 * [misc]backup-simplify: Simplify 2 into 2 1546937626.813 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) in lambda2 1546937626.813 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937626.813 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.813 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.813 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.813 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.813 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.813 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.813 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.813 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.813 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.813 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.813 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.813 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.813 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.813 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.814 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.814 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.814 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.814 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.814 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.814 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.814 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.815 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.815 * [misc]backup-simplify: Simplify 0 into 0 1546937626.815 * [misc]backup-simplify: Simplify 1 into 1 1546937626.815 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.815 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.815 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937626.816 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1546937626.816 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.816 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.816 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) (- (/ 1 lambda2))) (* 0 1))) into (/ 1 (pow lambda2 2)) 1546937626.818 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937626.818 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937626.818 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937626.818 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937626.818 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.819 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937626.820 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937626.820 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937626.820 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.820 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.821 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937626.822 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937626.822 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 1546937626.822 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937626.822 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.822 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.822 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937626.822 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.822 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.822 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.822 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.822 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.822 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.822 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.822 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.822 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.822 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.823 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.823 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.823 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.823 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.823 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.823 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.823 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.824 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.824 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937626.824 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.824 * [misc]backup-simplify: Simplify 0 into 0 1546937626.824 * [misc]backup-simplify: Simplify 1 into 1 1546937626.824 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.824 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.824 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.824 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937626.825 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.825 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.825 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.825 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.825 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.825 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.825 * [misc]backup-simplify: Simplify 0 into 0 1546937626.825 * [misc]backup-simplify: Simplify 1 into 1 1546937626.825 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.825 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.825 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.825 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.825 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.825 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.825 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.825 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.826 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.826 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937626.826 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.826 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.826 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.826 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.826 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.826 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.826 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.826 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.826 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.826 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.826 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.826 * [misc]backup-simplify: Simplify 0 into 0 1546937626.826 * [misc]backup-simplify: Simplify 1 into 1 1546937626.826 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.826 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.827 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.827 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.827 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.827 * [misc]backup-simplify: Simplify (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.827 * [misc]backup-simplify: Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937626.828 * [misc]backup-simplify: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1546937626.828 * [misc]taylor: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi1 1546937626.828 * [misc]taylor: Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 1546937626.828 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937626.828 * [misc]backup-simplify: Simplify 2 into 2 1546937626.828 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937626.828 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.828 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.828 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.828 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.828 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.828 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.828 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.828 * [misc]backup-simplify: Simplify 0 into 0 1546937626.828 * [misc]backup-simplify: Simplify 1 into 1 1546937626.828 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.828 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.828 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.828 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.828 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.829 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.829 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.829 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.829 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.829 * [misc]backup-simplify: Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937626.830 * [misc]backup-simplify: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1546937626.830 * [misc]taylor: Taking taylor expansion of (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi2 1546937626.830 * [misc]taylor: Taking taylor expansion of (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 1546937626.830 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937626.830 * [misc]backup-simplify: Simplify 2 into 2 1546937626.830 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937626.830 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.830 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.830 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.830 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.830 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.830 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.830 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.830 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.830 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.830 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.830 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.830 * [misc]backup-simplify: Simplify 0 into 0 1546937626.830 * [misc]backup-simplify: Simplify 1 into 1 1546937626.830 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.831 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.831 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.831 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.831 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.831 * [misc]backup-simplify: Simplify (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937626.832 * [misc]backup-simplify: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1546937626.832 * [misc]backup-simplify: Simplify (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1546937626.832 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.832 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937626.833 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.833 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.833 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937626.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.833 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.833 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.833 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.833 * [misc]backup-simplify: Simplify 0 into 0 1546937626.833 * [misc]backup-simplify: Simplify 1 into 1 1546937626.833 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.833 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.833 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.833 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.833 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.833 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.833 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.834 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.834 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.834 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937626.834 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.834 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.834 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937626.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937626.834 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.834 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.834 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.834 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.834 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.834 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.834 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.834 * [misc]backup-simplify: Simplify 0 into 0 1546937626.834 * [misc]backup-simplify: Simplify 1 into 1 1546937626.835 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.835 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.835 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937626.835 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.835 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.836 * [misc]backup-simplify: Simplify (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.837 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2) (pow (* 1 (* 1 (* 1 (/ 1 (/ 1 lambda1))))) 2)) (+ (* (- (* 2 (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2))) (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) (/ 1 (/ 1 lambda1)))))) (* (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2) (pow (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) 1))) 2)))) into (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1546937626.838 * [misc]backup-simplify: Simplify (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1546937626.838 * [misc]approximate: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in (lambda1 lambda2 phi1 phi2) around 0 1546937626.838 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi2 1546937626.838 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937626.838 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.838 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.838 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937626.838 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.838 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.838 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.838 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.838 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.838 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.838 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.838 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.838 * [misc]backup-simplify: Simplify 0 into 0 1546937626.839 * [misc]backup-simplify: Simplify 1 into 1 1546937626.839 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.839 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.839 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.839 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.839 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi2 1546937626.839 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 1546937626.839 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 1546937626.839 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937626.839 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.840 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937626.840 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 1546937626.840 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937626.840 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.840 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937626.840 * [misc]backup-simplify: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1546937626.840 * [misc]backup-simplify: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1546937626.840 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi1 1546937626.840 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937626.840 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.840 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.840 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937626.840 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.840 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.840 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.840 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.840 * [misc]backup-simplify: Simplify 0 into 0 1546937626.840 * [misc]backup-simplify: Simplify 1 into 1 1546937626.841 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.841 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.841 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.841 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.841 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.841 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.841 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.841 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.841 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi1 1546937626.841 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 1546937626.841 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 1546937626.841 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937626.841 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.841 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937626.841 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 1546937626.841 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937626.842 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.842 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937626.842 * [misc]backup-simplify: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1546937626.842 * [misc]backup-simplify: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1546937626.842 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda2 1546937626.842 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937626.842 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.842 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.842 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937626.842 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.842 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.842 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.842 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.842 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.842 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.842 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.842 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.842 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.842 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.842 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.843 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.843 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.843 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.843 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.843 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.843 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.844 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.844 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda2 1546937626.844 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1546937626.844 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 1546937626.844 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.844 * [misc]backup-simplify: Simplify 0 into 0 1546937626.844 * [misc]backup-simplify: Simplify 1 into 1 1546937626.844 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.844 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 1546937626.844 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937626.844 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937626.844 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937626.844 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.844 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 1546937626.844 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937626.844 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937626.844 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937626.845 * [misc]taylor: Taking taylor expansion of -1/2 in lambda1 1546937626.845 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.845 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937626.845 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937626.845 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.845 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.845 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.845 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937626.845 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.845 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.845 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.845 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.845 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.845 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.845 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.846 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.846 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.846 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.846 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.846 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 1546937626.846 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1546937626.846 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 1546937626.846 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937626.846 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.846 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937626.846 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 1546937626.846 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937626.846 * [misc]backup-simplify: Simplify 0 into 0 1546937626.847 * [misc]backup-simplify: Simplify 1 into 1 1546937626.847 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.847 * [misc]backup-simplify: Simplify (- 1) into -1 1546937626.847 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1546937626.847 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 1546937626.847 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937626.847 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937626.847 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937626.847 * [misc]taylor: Taking taylor expansion of -1/2 in lambda1 1546937626.847 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.847 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937626.847 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937626.847 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937626.847 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.847 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.847 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937626.847 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937626.848 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.848 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.848 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.848 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.848 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.848 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.848 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.848 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.849 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.849 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.849 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 1546937626.849 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1546937626.849 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 1546937626.849 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937626.849 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937626.849 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937626.849 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 1546937626.849 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937626.849 * [misc]backup-simplify: Simplify 0 into 0 1546937626.849 * [misc]backup-simplify: Simplify 1 into 1 1546937626.849 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.849 * [misc]backup-simplify: Simplify (- 1) into -1 1546937626.850 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1546937626.850 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.850 * [misc]backup-simplify: Simplify (* -1 -1) into 1 1546937626.850 * [misc]backup-simplify: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.850 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937626.850 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.850 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.850 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937626.851 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.851 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.851 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.851 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.851 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.851 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.851 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.851 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.851 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.851 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.851 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.851 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.851 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.851 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.852 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.852 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.852 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.852 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.852 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937626.853 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.853 * [misc]backup-simplify: Simplify (+ (/ 1 lambda2) 0) into (/ 1 lambda2) 1546937626.853 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 lambda2)) (* (/ 1 lambda2) -1)) into (- (* 2 (/ 1 lambda2))) 1546937626.853 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937626.853 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937626.853 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937626.854 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937626.854 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.854 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937626.855 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937626.856 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937626.856 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.856 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.856 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937626.857 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937626.857 * [misc]taylor: Taking taylor expansion of (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) in lambda2 1546937626.857 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) in lambda2 1546937626.857 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937626.857 * [misc]backup-simplify: Simplify 2 into 2 1546937626.857 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) in lambda2 1546937626.857 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937626.857 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.857 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.857 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937626.857 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.857 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.857 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.857 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.857 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.857 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.857 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.857 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.857 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.857 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.858 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.858 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.858 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.858 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.858 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.858 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.858 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.859 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.859 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.859 * [misc]backup-simplify: Simplify 0 into 0 1546937626.859 * [misc]backup-simplify: Simplify 1 into 1 1546937626.859 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.859 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.859 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1546937626.860 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937626.860 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.860 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.860 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) (/ 1 lambda2)) (* 0 -1))) into (/ 1 (pow lambda2 2)) 1546937626.862 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937626.862 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937626.862 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937626.862 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937626.863 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.863 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937626.864 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937626.865 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937626.865 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.865 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937626.865 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937626.866 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937626.866 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 1546937626.866 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937626.866 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937626.866 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937626.866 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937626.866 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.866 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937626.866 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937626.866 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937626.866 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.866 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.866 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937626.866 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937626.866 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.866 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.867 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937626.867 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937626.867 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.867 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.867 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.867 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937626.868 * [misc]backup-simplify: Simplify (- 0) into 0 1546937626.868 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.868 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937626.868 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937626.868 * [misc]backup-simplify: Simplify 0 into 0 1546937626.868 * [misc]backup-simplify: Simplify 1 into 1 1546937626.868 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.868 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937626.869 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.869 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937626.869 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.869 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.869 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937626.869 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.869 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.869 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.869 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.869 * [misc]backup-simplify: Simplify 0 into 0 1546937626.869 * [misc]backup-simplify: Simplify 1 into 1 1546937626.869 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.869 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.869 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.869 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.869 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.870 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.870 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.870 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.870 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.870 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937626.870 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.870 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.870 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937626.870 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.870 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.870 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.870 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.870 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.871 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.871 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.871 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.871 * [misc]backup-simplify: Simplify 0 into 0 1546937626.871 * [misc]backup-simplify: Simplify 1 into 1 1546937626.871 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.871 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.871 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.871 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.872 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.872 * [misc]backup-simplify: Simplify (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.872 * [misc]backup-simplify: Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937626.872 * [misc]backup-simplify: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1546937626.872 * [misc]taylor: Taking taylor expansion of (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi1 1546937626.873 * [misc]taylor: Taking taylor expansion of (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 1546937626.873 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937626.873 * [misc]backup-simplify: Simplify 2 into 2 1546937626.873 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937626.873 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.873 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.873 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937626.873 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.873 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.873 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.873 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.873 * [misc]backup-simplify: Simplify 0 into 0 1546937626.873 * [misc]backup-simplify: Simplify 1 into 1 1546937626.873 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.873 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.873 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.873 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.873 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.874 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.874 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.874 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.874 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.875 * [misc]backup-simplify: Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937626.875 * [misc]backup-simplify: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1546937626.875 * [misc]taylor: Taking taylor expansion of (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) in phi2 1546937626.875 * [misc]taylor: Taking taylor expansion of (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 1546937626.875 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937626.875 * [misc]backup-simplify: Simplify 2 into 2 1546937626.875 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937626.875 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.875 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.875 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937626.875 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.875 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.875 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.875 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.875 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.876 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.876 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.876 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.876 * [misc]backup-simplify: Simplify 0 into 0 1546937626.876 * [misc]backup-simplify: Simplify 1 into 1 1546937626.876 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.876 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.876 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.876 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.877 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.877 * [misc]backup-simplify: Simplify (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937626.877 * [misc]backup-simplify: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1546937626.877 * [misc]backup-simplify: Simplify (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (* 2 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) 1546937626.878 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.878 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937626.878 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937626.878 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937626.878 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937626.878 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.878 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937626.878 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937626.878 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937626.878 * [misc]backup-simplify: Simplify 0 into 0 1546937626.878 * [misc]backup-simplify: Simplify 1 into 1 1546937626.878 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.878 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937626.878 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937626.879 * [misc]backup-simplify: Simplify phi2 into phi2 1546937626.879 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937626.879 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937626.879 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.879 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.879 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.879 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937626.879 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937626.880 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937626.880 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937626.880 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937626.880 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937626.880 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937626.880 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937626.880 * [misc]backup-simplify: Simplify phi1 into phi1 1546937626.880 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937626.880 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937626.880 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937626.880 * [misc]backup-simplify: Simplify 0 into 0 1546937626.880 * [misc]backup-simplify: Simplify 1 into 1 1546937626.880 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937626.880 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937626.880 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937626.881 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937626.881 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.881 * [misc]backup-simplify: Simplify (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937626.883 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2) (pow (* 1 (* 1 (* 1 (/ 1 (/ 1 (- lambda1)))))) 2)) (+ (* (- (* 2 (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2))) (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))) (* (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2) (pow (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) 1))) 2)))) into (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1546937626.883 * * * [misc]progress: simplifying candidates 1546937626.883 * * * * [misc]progress: [ 1 / 141 ] simplifiying candidate # 1546937626.883 * * * * [misc]progress: [ 2 / 141 ] simplifiying candidate # 1546937626.883 * * * * [misc]progress: [ 3 / 141 ] simplifiying candidate # 1546937626.883 * * * * [misc]progress: [ 4 / 141 ] simplifiying candidate # 1546937626.884 * * * * [misc]progress: [ 5 / 141 ] simplifiying candidate # 1546937626.884 * * * * [misc]progress: [ 6 / 141 ] simplifiying candidate # 1546937626.884 * * * * [misc]progress: [ 7 / 141 ] simplifiying candidate # 1546937626.884 * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937626.884 * * [misc]simplify: iters left: 6 (17 enodes) 1546937626.890 * * [misc]simplify: iters left: 5 (29 enodes) 1546937626.898 * * [misc]simplify: iters left: 4 (56 enodes) 1546937626.920 * * [misc]simplify: iters left: 3 (190 enodes) 1546937627.040 * [exit]simplify: Simplified to (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 1546937627.040 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 1546937627.040 * * * * [misc]progress: [ 8 / 141 ] simplifiying candidate # 1546937627.040 * [enter]simplify: Simplifying (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))) 1546937627.041 * * [misc]simplify: iters left: 6 (16 enodes) 1546937627.043 * * [misc]simplify: iters left: 5 (27 enodes) 1546937627.047 * * [misc]simplify: iters left: 4 (54 enodes) 1546937627.060 * * [misc]simplify: iters left: 3 (188 enodes) 1546937627.164 * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 1546937627.164 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))))) 1546937627.164 * * * * [misc]progress: [ 9 / 141 ] simplifiying candidate # 1546937627.164 * [enter]simplify: Simplifying (sqrt 1) 1546937627.164 * * [misc]simplify: iters left: 1 (2 enodes) 1546937627.166 * [exit]simplify: Simplified to 1 1546937627.166 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* 1 (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) 1546937627.166 * * * * [misc]progress: [ 10 / 141 ] simplifiying candidate # 1546937627.166 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937627.166 * * [misc]simplify: iters left: 6 (34 enodes) 1546937627.179 * * [misc]simplify: iters left: 5 (88 enodes) 1546937627.217 * * [misc]simplify: iters left: 4 (335 enodes) 1546937627.526 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937627.526 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937627.526 * * * * [misc]progress: [ 11 / 141 ] simplifiying candidate # 1546937627.526 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937627.526 * * [misc]simplify: iters left: 6 (35 enodes) 1546937627.533 * * [misc]simplify: iters left: 5 (95 enodes) 1546937627.556 * * [misc]simplify: iters left: 4 (366 enodes) 1546937627.918 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) 1546937627.918 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1))) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937627.918 * * * * [misc]progress: [ 12 / 141 ] simplifiying candidate # 1546937627.919 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937627.919 * * [misc]simplify: iters left: 6 (35 enodes) 1546937627.926 * * [misc]simplify: iters left: 5 (95 enodes) 1546937627.949 * * [misc]simplify: iters left: 4 (364 enodes) 1546937628.260 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) 1546937628.260 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ phi2 phi1))) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (- (* phi1 phi1) (* phi2 phi2)) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937628.260 * * * * [misc]progress: [ 13 / 141 ] simplifiying candidate # 1546937628.260 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937628.261 * * [misc]simplify: iters left: 6 (29 enodes) 1546937628.266 * * [misc]simplify: iters left: 5 (75 enodes) 1546937628.289 * * [misc]simplify: iters left: 4 (283 enodes) 1546937628.498 * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ phi2 phi1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) 1546937628.499 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ phi2 phi1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ phi2 phi1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937628.499 * * * * [misc]progress: [ 14 / 141 ] simplifiying candidate # 1546937628.499 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937628.499 * * [misc]simplify: iters left: 6 (34 enodes) 1546937628.509 * * [misc]simplify: iters left: 5 (89 enodes) 1546937628.527 * * [misc]simplify: iters left: 4 (307 enodes) 1546937628.791 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) 1546937628.791 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937628.791 * * * * [misc]progress: [ 15 / 141 ] simplifiying candidate # 1546937628.791 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937628.791 * * [misc]simplify: iters left: 6 (29 enodes) 1546937628.797 * * [misc]simplify: iters left: 5 (75 enodes) 1546937628.812 * * [misc]simplify: iters left: 4 (274 enodes) 1546937629.048 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))) 1546937629.048 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937629.049 * * * * [misc]progress: [ 16 / 141 ] simplifiying candidate # 1546937629.049 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937629.049 * * [misc]simplify: iters left: 6 (34 enodes) 1546937629.061 * * [misc]simplify: iters left: 5 (89 enodes) 1546937629.097 * * [misc]simplify: iters left: 4 (307 enodes) 1546937629.315 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) 1546937629.315 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937629.315 * * * * [misc]progress: [ 17 / 141 ] simplifiying candidate # 1546937629.315 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937629.316 * * [misc]simplify: iters left: 6 (29 enodes) 1546937629.324 * * [misc]simplify: iters left: 5 (75 enodes) 1546937629.344 * * [misc]simplify: iters left: 4 (274 enodes) 1546937629.579 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))) 1546937629.579 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937629.579 * * * * [misc]progress: [ 18 / 141 ] simplifiying candidate # 1546937629.579 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937629.580 * * [misc]simplify: iters left: 6 (37 enodes) 1546937629.594 * * [misc]simplify: iters left: 5 (98 enodes) 1546937629.615 * * [misc]simplify: iters left: 4 (377 enodes) 1546937630.042 * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda2 lambda1) (- (pow phi1 3) (pow phi2 3))))))) 1546937630.042 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda2 lambda1) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937630.042 * * * * [misc]progress: [ 19 / 141 ] simplifiying candidate # 1546937630.042 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937630.042 * * [misc]simplify: iters left: 6 (38 enodes) 1546937630.049 * * [misc]simplify: iters left: 5 (105 enodes) 1546937630.083 * * [misc]simplify: iters left: 4 (408 enodes) 1546937630.505 * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) 1546937630.505 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ lambda2 lambda1) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937630.505 * * * * [misc]progress: [ 20 / 141 ] simplifiying candidate # 1546937630.506 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937630.506 * * [misc]simplify: iters left: 6 (38 enodes) 1546937630.520 * * [misc]simplify: iters left: 5 (105 enodes) 1546937630.566 * * [misc]simplify: iters left: 4 (406 enodes) 1546937630.970 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (- (pow lambda1 3) (pow lambda2 3)))) (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ lambda2 lambda1) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) 1546937630.970 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (* (+ phi2 phi1) (- (pow lambda1 3) (pow lambda2 3)))) (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ lambda2 lambda1) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937630.971 * * * * [misc]progress: [ 21 / 141 ] simplifiying candidate # 1546937630.971 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937630.971 * * [misc]simplify: iters left: 6 (32 enodes) 1546937630.977 * * [misc]simplify: iters left: 5 (85 enodes) 1546937630.996 * * [misc]simplify: iters left: 4 (325 enodes) 1546937631.227 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) 1546937631.297 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937631.298 * * * * [misc]progress: [ 22 / 141 ] simplifiying candidate # 1546937631.298 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937631.298 * * [misc]simplify: iters left: 6 (37 enodes) 1546937631.311 * * [misc]simplify: iters left: 5 (99 enodes) 1546937631.355 * * [misc]simplify: iters left: 4 (355 enodes) 1546937631.717 * [exit]simplify: Simplified to (sqrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) 1546937631.717 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (* (- phi1 phi2) (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937631.717 * * * * [misc]progress: [ 23 / 141 ] simplifiying candidate # 1546937631.717 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937631.717 * * [misc]simplify: iters left: 6 (32 enodes) 1546937631.723 * * [misc]simplify: iters left: 5 (85 enodes) 1546937631.745 * * [misc]simplify: iters left: 4 (322 enodes) 1546937632.056 * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937632.056 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ phi2 phi1) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (* (+ lambda2 lambda1) (+ phi2 phi1)) (* (- phi1 phi2) (- phi1 phi2)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 1546937632.057 * * * * [misc]progress: [ 24 / 141 ] simplifiying candidate # 1546937632.057 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937632.057 * * [misc]simplify: iters left: 6 (37 enodes) 1546937632.070 * * [misc]simplify: iters left: 5 (99 enodes) 1546937632.114 * * [misc]simplify: iters left: 4 (355 enodes) 1546937632.428 * [exit]simplify: Simplified to (sqrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda2 lambda1) (- phi1 phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) 1546937632.428 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda2 lambda1) (- phi1 phi2)))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937632.428 * * * * [misc]progress: [ 25 / 141 ] simplifiying candidate # 1546937632.428 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937632.429 * * [misc]simplify: iters left: 6 (32 enodes) 1546937632.439 * * [misc]simplify: iters left: 5 (85 enodes) 1546937632.469 * * [misc]simplify: iters left: 4 (322 enodes) 1546937632.713 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ phi2 phi1)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- phi1 phi2) (+ lambda2 lambda1)))))) 1546937632.713 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (+ phi2 phi1)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (- phi1 phi2) (+ lambda2 lambda1)))))) (sqrt (* (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 1546937632.713 * * * * [misc]progress: [ 26 / 141 ] simplifiying candidate # 1546937632.713 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937632.714 * * [misc]simplify: iters left: 6 (37 enodes) 1546937632.728 * * [misc]simplify: iters left: 5 (98 enodes) 1546937632.776 * * [misc]simplify: iters left: 4 (375 enodes) 1546937633.187 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (+ lambda1 lambda2)))) 1546937633.187 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (+ lambda1 lambda2) (- lambda1 lambda2)))) (* (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (+ lambda1 lambda2)))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937633.187 * * * * [misc]progress: [ 27 / 141 ] simplifiying candidate # 1546937633.188 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937633.188 * * [misc]simplify: iters left: 6 (38 enodes) 1546937633.195 * * [misc]simplify: iters left: 5 (105 enodes) 1546937633.217 * * [misc]simplify: iters left: 4 (406 enodes) 1546937633.688 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (+ lambda1 lambda2) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))) 1546937633.688 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))) (* (+ lambda1 lambda2) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937633.688 * * * * [misc]progress: [ 28 / 141 ] simplifiying candidate # 1546937633.688 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937633.689 * * [misc]simplify: iters left: 6 (38 enodes) 1546937633.706 * * [misc]simplify: iters left: 5 (105 enodes) 1546937633.746 * * [misc]simplify: iters left: 4 (404 enodes) 1546937634.213 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (+ phi1 phi2)) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ lambda1 lambda2) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))) 1546937634.213 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (+ phi1 phi2)) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (+ lambda1 lambda2) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937634.214 * * * * [misc]progress: [ 29 / 141 ] simplifiying candidate # 1546937634.214 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937634.214 * * [misc]simplify: iters left: 6 (32 enodes) 1546937634.220 * * [misc]simplify: iters left: 5 (85 enodes) 1546937634.256 * * [misc]simplify: iters left: 4 (323 enodes) 1546937634.540 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) 1546937634.540 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937634.541 * * * * [misc]progress: [ 30 / 141 ] simplifiying candidate # 1546937634.541 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937634.541 * * [misc]simplify: iters left: 6 (37 enodes) 1546937634.554 * * [misc]simplify: iters left: 5 (99 enodes) 1546937634.589 * * [misc]simplify: iters left: 4 (353 enodes) 1546937634.864 * [exit]simplify: Simplified to (sqrt (+ (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 1546937634.864 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937634.864 * * * * [misc]progress: [ 31 / 141 ] simplifiying candidate # 1546937634.864 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937634.865 * * [misc]simplify: iters left: 6 (32 enodes) 1546937634.871 * * [misc]simplify: iters left: 5 (85 enodes) 1546937634.897 * * [misc]simplify: iters left: 4 (320 enodes) 1546937635.127 * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ phi1 phi2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) 1546937635.127 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ phi1 phi2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937635.127 * * * * [misc]progress: [ 32 / 141 ] simplifiying candidate # 1546937635.127 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937635.127 * * [misc]simplify: iters left: 6 (37 enodes) 1546937635.134 * * [misc]simplify: iters left: 5 (99 enodes) 1546937635.158 * * [misc]simplify: iters left: 4 (353 enodes) 1546937635.448 * [exit]simplify: Simplified to (sqrt (+ (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) 1546937635.448 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ lambda1 lambda2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937635.448 * * * * [misc]progress: [ 33 / 141 ] simplifiying candidate # 1546937635.449 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937635.449 * * [misc]simplify: iters left: 6 (32 enodes) 1546937635.455 * * [misc]simplify: iters left: 5 (85 enodes) 1546937635.472 * * [misc]simplify: iters left: 4 (320 enodes) 1546937635.711 * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) 1546937635.711 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (* (+ lambda1 lambda2) (- lambda1 lambda2))))) (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (sqrt (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937635.711 * * * * [misc]progress: [ 34 / 141 ] simplifiying candidate # 1546937635.712 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937635.712 * * [misc]simplify: iters left: 6 (30 enodes) 1546937635.717 * * [misc]simplify: iters left: 5 (76 enodes) 1546937635.737 * * [misc]simplify: iters left: 4 (287 enodes) 1546937635.991 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (+ lambda1 lambda2))))) 1546937635.991 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937635.991 * * * * [misc]progress: [ 35 / 141 ] simplifiying candidate # 1546937635.991 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937635.992 * * [misc]simplify: iters left: 6 (31 enodes) 1546937635.997 * * [misc]simplify: iters left: 5 (83 enodes) 1546937636.017 * * [misc]simplify: iters left: 4 (318 enodes) 1546937636.298 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) 1546937636.298 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937636.298 * * * * [misc]progress: [ 36 / 141 ] simplifiying candidate # 1546937636.299 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937636.299 * * [misc]simplify: iters left: 6 (31 enodes) 1546937636.309 * * [misc]simplify: iters left: 5 (83 enodes) 1546937636.327 * * [misc]simplify: iters left: 4 (316 enodes) 1546937636.654 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) 1546937636.655 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)) (+ phi1 phi2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937636.655 * * * * [misc]progress: [ 37 / 141 ] simplifiying candidate # 1546937636.655 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937636.655 * * [misc]simplify: iters left: 6 (24 enodes) 1546937636.659 * * [misc]simplify: iters left: 5 (62 enodes) 1546937636.672 * * [misc]simplify: iters left: 4 (234 enodes) 1546937636.838 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi1 phi2)))))) 1546937636.838 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2))) (* (+ lambda1 lambda2) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (+ phi1 phi2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937636.838 * * * * [misc]progress: [ 38 / 141 ] simplifiying candidate # 1546937636.838 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937636.839 * * [misc]simplify: iters left: 6 (30 enodes) 1546937636.848 * * [misc]simplify: iters left: 5 (77 enodes) 1546937636.863 * * [misc]simplify: iters left: 4 (259 enodes) 1546937637.004 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))))) 1546937637.004 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (* (- phi1 phi2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937637.004 * * * * [misc]progress: [ 39 / 141 ] simplifiying candidate # 1546937637.004 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937637.004 * * [misc]simplify: iters left: 6 (24 enodes) 1546937637.008 * * [misc]simplify: iters left: 5 (62 enodes) 1546937637.024 * * [misc]simplify: iters left: 4 (225 enodes) 1546937637.165 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ phi1 phi2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) 1546937637.165 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (+ lambda1 lambda2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ phi1 phi2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 1546937637.165 * * * * [misc]progress: [ 40 / 141 ] simplifiying candidate # 1546937637.165 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937637.165 * * [misc]simplify: iters left: 6 (30 enodes) 1546937637.170 * * [misc]simplify: iters left: 5 (77 enodes) 1546937637.188 * * [misc]simplify: iters left: 4 (259 enodes) 1546937637.354 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- phi1 phi2)) (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))))) 1546937637.354 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- phi1 phi2)) (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937637.354 * * * * [misc]progress: [ 41 / 141 ] simplifiying candidate # 1546937637.354 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937637.354 * * [misc]simplify: iters left: 6 (24 enodes) 1546937637.358 * * [misc]simplify: iters left: 5 (62 enodes) 1546937637.372 * * [misc]simplify: iters left: 4 (225 enodes) 1546937637.485 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ phi1 phi2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) 1546937637.485 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (- phi1 phi2))) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ phi1 phi2) (* (+ lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (sqrt (* (* (+ lambda1 lambda2) (+ lambda1 lambda2)) (+ phi1 phi2)))))) 1546937637.485 * * * * [misc]progress: [ 42 / 141 ] simplifiying candidate # 1546937637.485 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937637.485 * * [misc]simplify: iters left: 6 (35 enodes) 1546937637.491 * * [misc]simplify: iters left: 5 (85 enodes) 1546937637.508 * * [misc]simplify: iters left: 4 (306 enodes) 1546937637.828 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) 1546937637.828 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937637.828 * * * * [misc]progress: [ 43 / 141 ] simplifiying candidate # 1546937637.829 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937637.829 * * [misc]simplify: iters left: 6 (36 enodes) 1546937637.835 * * [misc]simplify: iters left: 5 (92 enodes) 1546937637.873 * * [misc]simplify: iters left: 4 (335 enodes) 1546937638.154 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ phi1 phi2) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))) 1546937638.155 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (+ phi1 phi2) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937638.155 * * * * [misc]progress: [ 44 / 141 ] simplifiying candidate # 1546937638.155 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937638.155 * * [misc]simplify: iters left: 6 (36 enodes) 1546937638.162 * * [misc]simplify: iters left: 5 (92 enodes) 1546937638.180 * * [misc]simplify: iters left: 4 (333 enodes) 1546937638.524 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))) 1546937638.524 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (+ phi1 phi2)))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937638.524 * * * * [misc]progress: [ 45 / 141 ] simplifiying candidate # 1546937638.524 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937638.525 * * [misc]simplify: iters left: 6 (30 enodes) 1546937638.535 * * [misc]simplify: iters left: 5 (72 enodes) 1546937638.551 * * [misc]simplify: iters left: 4 (254 enodes) 1546937639.057 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ phi1 phi2) (+ phi1 phi2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) 1546937639.057 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ phi1 phi2) (+ phi1 phi2))) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937639.057 * * * * [misc]progress: [ 46 / 141 ] simplifiying candidate # 1546937639.058 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937639.058 * * [misc]simplify: iters left: 6 (35 enodes) 1546937639.064 * * [misc]simplify: iters left: 5 (86 enodes) 1546937639.081 * * [misc]simplify: iters left: 4 (282 enodes) 1546937639.291 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) 1546937639.291 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937639.292 * * * * [misc]progress: [ 47 / 141 ] simplifiying candidate # 1546937639.292 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937639.292 * * [misc]simplify: iters left: 6 (30 enodes) 1546937639.304 * * [misc]simplify: iters left: 5 (72 enodes) 1546937639.317 * * [misc]simplify: iters left: 4 (249 enodes) 1546937639.514 * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) 1546937639.514 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 1546937639.514 * * * * [misc]progress: [ 48 / 141 ] simplifiying candidate # 1546937639.515 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937639.515 * * [misc]simplify: iters left: 6 (35 enodes) 1546937639.528 * * [misc]simplify: iters left: 5 (86 enodes) 1546937639.550 * * [misc]simplify: iters left: 4 (282 enodes) 1546937639.752 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) 1546937639.752 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937639.752 * * * * [misc]progress: [ 49 / 141 ] simplifiying candidate # 1546937639.753 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937639.753 * * [misc]simplify: iters left: 6 (30 enodes) 1546937639.763 * * [misc]simplify: iters left: 5 (72 enodes) 1546937639.791 * * [misc]simplify: iters left: 4 (249 enodes) 1546937639.999 * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) 1546937639.999 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (+ phi1 phi2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 1546937639.999 * * * * [misc]progress: [ 50 / 141 ] simplifiying candidate # 1546937639.999 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937639.999 * * [misc]simplify: iters left: 6 (31 enodes) 1546937640.009 * * [misc]simplify: iters left: 5 (72 enodes) 1546937640.042 * * [misc]simplify: iters left: 4 (287 enodes) 1546937640.391 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))))) 1546937640.391 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937640.391 * * * * [misc]progress: [ 51 / 141 ] simplifiying candidate # 1546937640.391 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937640.392 * * [misc]simplify: iters left: 6 (32 enodes) 1546937640.402 * * [misc]simplify: iters left: 5 (79 enodes) 1546937640.428 * * [misc]simplify: iters left: 4 (316 enodes) 1546937640.766 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (+ lambda2 lambda1))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (+ phi1 phi2)))) 1546937640.766 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (+ lambda2 lambda1))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (+ phi1 phi2)))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937640.767 * * * * [misc]progress: [ 52 / 141 ] simplifiying candidate # 1546937640.767 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937640.767 * * [misc]simplify: iters left: 6 (32 enodes) 1546937640.773 * * [misc]simplify: iters left: 5 (79 enodes) 1546937640.796 * * [misc]simplify: iters left: 4 (314 enodes) 1546937641.139 * [exit]simplify: Simplified to (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (cos (/ (+ phi1 phi2) 2))))) 1546937641.139 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda2 lambda1))) (* (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (cos (/ (+ phi1 phi2) 2))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937641.139 * * * * [misc]progress: [ 53 / 141 ] simplifiying candidate # 1546937641.139 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937641.139 * * [misc]simplify: iters left: 6 (25 enodes) 1546937641.144 * * [misc]simplify: iters left: 5 (58 enodes) 1546937641.168 * * [misc]simplify: iters left: 4 (234 enodes) 1546937641.324 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) 1546937641.324 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937641.324 * * * * [misc]progress: [ 54 / 141 ] simplifiying candidate # 1546937641.324 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937641.324 * * [misc]simplify: iters left: 6 (31 enodes) 1546937641.330 * * [misc]simplify: iters left: 5 (73 enodes) 1546937641.345 * * [misc]simplify: iters left: 4 (263 enodes) 1546937641.617 * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) 1546937641.617 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937641.618 * * * * [misc]progress: [ 55 / 141 ] simplifiying candidate # 1546937641.618 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937641.618 * * [misc]simplify: iters left: 6 (25 enodes) 1546937641.627 * * [misc]simplify: iters left: 5 (58 enodes) 1546937641.651 * * [misc]simplify: iters left: 4 (229 enodes) 1546937641.834 * [exit]simplify: Simplified to (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (+ phi1 phi2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda2 lambda1) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) 1546937641.834 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (+ phi1 phi2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda2 lambda1) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 1546937641.834 * * * * [misc]progress: [ 56 / 141 ] simplifiying candidate # 1546937641.834 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937641.835 * * [misc]simplify: iters left: 6 (31 enodes) 1546937641.845 * * [misc]simplify: iters left: 5 (73 enodes) 1546937641.873 * * [misc]simplify: iters left: 4 (263 enodes) 1546937642.135 * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) 1546937642.135 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937642.135 * * * * [misc]progress: [ 57 / 141 ] simplifiying candidate # 1546937642.135 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937642.136 * * [misc]simplify: iters left: 6 (25 enodes) 1546937642.144 * * [misc]simplify: iters left: 5 (58 enodes) 1546937642.168 * * [misc]simplify: iters left: 4 (229 enodes) 1546937642.353 * [exit]simplify: Simplified to (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (+ phi1 phi2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))) 1546937642.353 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (+ phi1 phi2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda2 lambda1) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 1546937642.353 * * * * [misc]progress: [ 58 / 141 ] simplifiying candidate # 1546937642.354 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937642.354 * * [misc]simplify: iters left: 6 (35 enodes) 1546937642.360 * * [misc]simplify: iters left: 5 (85 enodes) 1546937642.383 * * [misc]simplify: iters left: 4 (306 enodes) 1546937642.699 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) 1546937642.699 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937642.699 * * * * [misc]progress: [ 59 / 141 ] simplifiying candidate # 1546937642.700 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937642.700 * * [misc]simplify: iters left: 6 (36 enodes) 1546937642.718 * * [misc]simplify: iters left: 5 (92 enodes) 1546937642.756 * * [misc]simplify: iters left: 4 (335 enodes) 1546937643.103 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ phi2 phi1) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) 1546937643.103 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (* (+ phi2 phi1) (- (pow lambda1 3) (pow lambda2 3)))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937643.103 * * * * [misc]progress: [ 60 / 141 ] simplifiying candidate # 1546937643.103 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937643.104 * * [misc]simplify: iters left: 6 (36 enodes) 1546937643.116 * * [misc]simplify: iters left: 5 (92 enodes) 1546937643.158 * * [misc]simplify: iters left: 4 (333 enodes) 1546937643.519 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) 1546937643.519 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (+ phi2 phi1)) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937643.520 * * * * [misc]progress: [ 61 / 141 ] simplifiying candidate # 1546937643.520 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937643.520 * * [misc]simplify: iters left: 6 (30 enodes) 1546937643.526 * * [misc]simplify: iters left: 5 (72 enodes) 1546937643.549 * * [misc]simplify: iters left: 4 (254 enodes) 1546937643.710 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) 1546937643.710 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937643.710 * * * * [misc]progress: [ 62 / 141 ] simplifiying candidate # 1546937643.710 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937643.710 * * [misc]simplify: iters left: 6 (35 enodes) 1546937643.717 * * [misc]simplify: iters left: 5 (86 enodes) 1546937643.736 * * [misc]simplify: iters left: 4 (282 enodes) 1546937643.955 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) 1546937643.955 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937643.955 * * * * [misc]progress: [ 63 / 141 ] simplifiying candidate # 1546937643.955 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937643.955 * * [misc]simplify: iters left: 6 (30 enodes) 1546937643.965 * * [misc]simplify: iters left: 5 (72 enodes) 1546937643.993 * * [misc]simplify: iters left: 4 (249 enodes) 1546937644.232 * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))))) 1546937644.232 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 1546937644.232 * * * * [misc]progress: [ 64 / 141 ] simplifiying candidate # 1546937644.232 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937644.233 * * [misc]simplify: iters left: 6 (35 enodes) 1546937644.239 * * [misc]simplify: iters left: 5 (86 enodes) 1546937644.258 * * [misc]simplify: iters left: 4 (282 enodes) 1546937644.494 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) 1546937644.494 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937644.494 * * * * [misc]progress: [ 65 / 141 ] simplifiying candidate # 1546937644.494 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937644.495 * * [misc]simplify: iters left: 6 (30 enodes) 1546937644.505 * * [misc]simplify: iters left: 5 (72 enodes) 1546937644.532 * * [misc]simplify: iters left: 4 (249 enodes) 1546937644.732 * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))))) 1546937644.732 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (+ phi2 phi1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))))) (sqrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ phi1 phi2)))))) 1546937644.732 * * * * [misc]progress: [ 66 / 141 ] simplifiying candidate # 1546937644.733 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937644.733 * * [misc]simplify: iters left: 6 (31 enodes) 1546937644.743 * * [misc]simplify: iters left: 5 (72 enodes) 1546937644.778 * * [misc]simplify: iters left: 4 (287 enodes) 1546937645.107 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) 1546937645.107 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937645.107 * * * * [misc]progress: [ 67 / 141 ] simplifiying candidate # 1546937645.107 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937645.107 * * [misc]simplify: iters left: 6 (32 enodes) 1546937645.114 * * [misc]simplify: iters left: 5 (79 enodes) 1546937645.137 * * [misc]simplify: iters left: 4 (316 enodes) 1546937645.486 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 1546937645.487 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (+ lambda1 lambda2) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937645.487 * * * * [misc]progress: [ 68 / 141 ] simplifiying candidate # 1546937645.487 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937645.487 * * [misc]simplify: iters left: 6 (32 enodes) 1546937645.499 * * [misc]simplify: iters left: 5 (79 enodes) 1546937645.529 * * [misc]simplify: iters left: 4 (314 enodes) 1546937645.823 * [exit]simplify: Simplified to (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 1546937645.823 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi1 phi2)) (+ lambda1 lambda2))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ phi1 phi2)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937645.823 * * * * [misc]progress: [ 69 / 141 ] simplifiying candidate # 1546937645.824 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937645.824 * * [misc]simplify: iters left: 6 (25 enodes) 1546937645.832 * * [misc]simplify: iters left: 5 (58 enodes) 1546937645.852 * * [misc]simplify: iters left: 4 (234 enodes) 1546937646.083 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937646.083 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ phi1 phi2) (+ phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (+ lambda1 lambda2) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937646.083 * * * * [misc]progress: [ 70 / 141 ] simplifiying candidate # 1546937646.084 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937646.084 * * [misc]simplify: iters left: 6 (31 enodes) 1546937646.095 * * [misc]simplify: iters left: 5 (73 enodes) 1546937646.123 * * [misc]simplify: iters left: 4 (263 enodes) 1546937646.414 * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) 1546937646.415 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937646.416 * * * * [misc]progress: [ 71 / 141 ] simplifiying candidate # 1546937646.416 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937646.416 * * [misc]simplify: iters left: 6 (25 enodes) 1546937646.425 * * [misc]simplify: iters left: 5 (58 enodes) 1546937646.452 * * [misc]simplify: iters left: 4 (229 enodes) 1546937646.668 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) 1546937646.668 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ lambda1 lambda2) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 1546937646.668 * * * * [misc]progress: [ 72 / 141 ] simplifiying candidate # 1546937646.669 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (+ lambda1 lambda2) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937646.669 * * [misc]simplify: iters left: 6 (31 enodes) 1546937646.680 * * [misc]simplify: iters left: 5 (73 enodes) 1546937646.709 * * [misc]simplify: iters left: 4 (263 enodes) 1546937646.942 * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) 1546937646.942 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi1 phi2) 2)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (* (+ lambda1 lambda2) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (sqrt (* (+ lambda1 lambda2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937646.942 * * * * [misc]progress: [ 73 / 141 ] simplifiying candidate # 1546937646.942 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (+ lambda1 lambda2) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937646.942 * * [misc]simplify: iters left: 6 (25 enodes) 1546937646.951 * * [misc]simplify: iters left: 5 (58 enodes) 1546937646.966 * * [misc]simplify: iters left: 4 (229 enodes) 1546937647.163 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- phi1 phi2))))) 1546937647.163 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ phi1 phi2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (+ phi1 phi2) (+ lambda1 lambda2)) (* (- phi1 phi2) (- phi1 phi2))))) (sqrt (* (+ lambda1 lambda2) (+ phi1 phi2)))))) 1546937647.163 * * * * [misc]progress: [ 74 / 141 ] simplifiying candidate # 1546937647.163 * [enter]simplify: Simplifying (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 3) (pow (* (- phi1 phi2) (- phi1 phi2)) 3))) 1546937647.164 * * [misc]simplify: iters left: 6 (18 enodes) 1546937647.169 * * [misc]simplify: iters left: 5 (39 enodes) 1546937647.182 * * [misc]simplify: iters left: 4 (106 enodes) 1546937647.265 * [exit]simplify: Simplified to (sqrt (+ (* (pow (- phi1 phi2) 3) (pow (- phi1 phi2) 3)) (* (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 3) (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 3)))) 1546937647.265 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (pow (- phi1 phi2) 3) (pow (- phi1 phi2) 3)) (* (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 3) (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 3)))) (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (- (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))))) 1546937647.266 * * * * [misc]progress: [ 75 / 141 ] simplifiying candidate # 1546937647.266 * [enter]simplify: Simplifying (sqrt (- (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) 1546937647.266 * * [misc]simplify: iters left: 6 (17 enodes) 1546937647.272 * * [misc]simplify: iters left: 5 (40 enodes) 1546937647.286 * * [misc]simplify: iters left: 4 (119 enodes) 1546937647.362 * [exit]simplify: Simplified to (sqrt (- (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 4) (pow (- phi1 phi2) 4))) 1546937647.362 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (- (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 4) (pow (- phi1 phi2) 4))) (sqrt (- (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))))) 1546937647.362 * * * * [misc]progress: [ 76 / 141 ] simplifiying candidate # 1546937647.362 * * * * [misc]progress: [ 77 / 141 ] simplifiying candidate # 1546937647.362 * [enter]simplify: Simplifying (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))) 1546937647.362 * * [misc]simplify: iters left: 6 (15 enodes) 1546937647.364 * * [misc]simplify: iters left: 5 (26 enodes) 1546937647.368 * * [misc]simplify: iters left: 4 (53 enodes) 1546937647.383 * * [misc]simplify: iters left: 3 (187 enodes) 1546937647.458 * [exit]simplify: Simplified to (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) 1546937647.458 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (fabs (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 1546937647.458 * * * * [misc]progress: [ 78 / 141 ] simplifiying candidate # 1546937647.458 * * * * [misc]progress: [ 79 / 141 ] simplifiying candidate # 1546937647.458 * * * * [misc]progress: [ 80 / 141 ] simplifiying candidate # 1546937647.458 * * * * [misc]progress: [ 81 / 141 ] simplifiying candidate # 1546937647.458 * * * * [misc]progress: [ 82 / 141 ] simplifiying candidate # 1546937647.458 * * * * [misc]progress: [ 83 / 141 ] simplifiying candidate # 1546937647.458 * * * * [misc]progress: [ 84 / 141 ] simplifiying candidate # 1546937647.458 * * * * [misc]progress: [ 85 / 141 ] simplifiying candidate # 1546937647.458 * * * * [misc]progress: [ 86 / 141 ] simplifiying candidate # 1546937647.458 * * * * [misc]progress: [ 87 / 141 ] simplifiying candidate # 1546937647.458 * * * * [misc]progress: [ 88 / 141 ] simplifiying candidate # 1546937647.458 * * * * [misc]progress: [ 89 / 141 ] simplifiying candidate # 1546937647.458 * * * * [misc]progress: [ 90 / 141 ] simplifiying candidate # 1546937647.459 * * * * [misc]progress: [ 91 / 141 ] simplifiying candidate # 1546937647.459 * * * * [misc]progress: [ 92 / 141 ] simplifiying candidate # 1546937647.459 * * * * [misc]progress: [ 93 / 141 ] simplifiying candidate # 1546937647.459 * [enter]simplify: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 1546937647.459 * * [misc]simplify: iters left: 6 (10 enodes) 1546937647.460 * * [misc]simplify: iters left: 5 (14 enodes) 1546937647.462 * * [misc]simplify: iters left: 4 (21 enodes) 1546937647.465 * * [misc]simplify: iters left: 3 (27 enodes) 1546937647.470 * * [misc]simplify: iters left: 2 (32 enodes) 1546937647.477 * [exit]simplify: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 1546937647.477 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937647.477 * [enter]simplify: Simplifying (+ 1 1) 1546937647.477 * * [misc]simplify: iters left: 2 (2 enodes) 1546937647.479 * * [misc]simplify: iters left: 1 (5 enodes) 1546937647.480 * [exit]simplify: Simplified to 2 1546937647.480 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937647.480 * * * * [misc]progress: [ 94 / 141 ] simplifiying candidate # 1546937647.480 * [enter]simplify: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 1546937647.480 * * [misc]simplify: iters left: 6 (10 enodes) 1546937647.483 * * [misc]simplify: iters left: 5 (14 enodes) 1546937647.486 * * [misc]simplify: iters left: 4 (21 enodes) 1546937647.492 * * [misc]simplify: iters left: 3 (27 enodes) 1546937647.495 * * [misc]simplify: iters left: 2 (32 enodes) 1546937647.499 * [exit]simplify: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 1546937647.499 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937647.499 * [enter]simplify: Simplifying (+ 1 1) 1546937647.499 * * [misc]simplify: iters left: 2 (2 enodes) 1546937647.500 * * [misc]simplify: iters left: 1 (5 enodes) 1546937647.501 * [exit]simplify: Simplified to 2 1546937647.501 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937647.501 * * * * [misc]progress: [ 95 / 141 ] simplifiying candidate # 1546937647.501 * [enter]simplify: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 1546937647.501 * * [misc]simplify: iters left: 6 (10 enodes) 1546937647.502 * * [misc]simplify: iters left: 5 (14 enodes) 1546937647.504 * * [misc]simplify: iters left: 4 (21 enodes) 1546937647.507 * * [misc]simplify: iters left: 3 (27 enodes) 1546937647.510 * * [misc]simplify: iters left: 2 (32 enodes) 1546937647.514 * [exit]simplify: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 1546937647.514 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937647.514 * [enter]simplify: Simplifying (+ 1 1) 1546937647.514 * * [misc]simplify: iters left: 2 (2 enodes) 1546937647.515 * * [misc]simplify: iters left: 1 (5 enodes) 1546937647.515 * [exit]simplify: Simplified to 2 1546937647.515 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937647.515 * * * * [misc]progress: [ 96 / 141 ] simplifiying candidate # 1546937647.515 * [enter]simplify: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 1546937647.516 * * [misc]simplify: iters left: 6 (10 enodes) 1546937647.517 * * [misc]simplify: iters left: 5 (14 enodes) 1546937647.519 * * [misc]simplify: iters left: 4 (21 enodes) 1546937647.524 * * [misc]simplify: iters left: 3 (27 enodes) 1546937647.536 * * [misc]simplify: iters left: 2 (32 enodes) 1546937647.544 * [exit]simplify: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 1546937647.545 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937647.545 * [enter]simplify: Simplifying (+ 1 1) 1546937647.545 * * [misc]simplify: iters left: 2 (2 enodes) 1546937647.547 * * [misc]simplify: iters left: 1 (5 enodes) 1546937647.548 * [exit]simplify: Simplified to 2 1546937647.548 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 2) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937647.548 * * * * [misc]progress: [ 97 / 141 ] simplifiying candidate # 1546937647.548 * [enter]simplify: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1546937647.548 * * [misc]simplify: iters left: 6 (11 enodes) 1546937647.552 * * [misc]simplify: iters left: 5 (19 enodes) 1546937647.558 * * [misc]simplify: iters left: 4 (39 enodes) 1546937647.576 * * [misc]simplify: iters left: 3 (147 enodes) 1546937647.653 * * [misc]simplify: iters left: 2 (489 enodes) 1546937647.881 * [exit]simplify: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1546937647.881 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937647.881 * * * * [misc]progress: [ 98 / 141 ] simplifiying candidate # 1546937647.881 * [enter]simplify: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1546937647.881 * * [misc]simplify: iters left: 6 (11 enodes) 1546937647.883 * * [misc]simplify: iters left: 5 (19 enodes) 1546937647.888 * * [misc]simplify: iters left: 4 (39 enodes) 1546937647.896 * * [misc]simplify: iters left: 3 (147 enodes) 1546937647.959 * * [misc]simplify: iters left: 2 (489 enodes) 1546937648.270 * [exit]simplify: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1546937648.270 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937648.271 * * * * [misc]progress: [ 99 / 141 ] simplifiying candidate # 1546937648.271 * [enter]simplify: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1546937648.271 * * [misc]simplify: iters left: 6 (11 enodes) 1546937648.273 * * [misc]simplify: iters left: 5 (19 enodes) 1546937648.278 * * [misc]simplify: iters left: 4 (39 enodes) 1546937648.288 * * [misc]simplify: iters left: 3 (147 enodes) 1546937648.383 * * [misc]simplify: iters left: 2 (489 enodes) 1546937648.664 * [exit]simplify: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1546937648.664 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937648.664 * * * * [misc]progress: [ 100 / 141 ] simplifiying candidate # 1546937648.664 * [enter]simplify: Simplifying (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1546937648.664 * * [misc]simplify: iters left: 6 (11 enodes) 1546937648.666 * * [misc]simplify: iters left: 5 (19 enodes) 1546937648.669 * * [misc]simplify: iters left: 4 (39 enodes) 1546937648.678 * * [misc]simplify: iters left: 3 (147 enodes) 1546937648.755 * * [misc]simplify: iters left: 2 (489 enodes) 1546937649.032 * [exit]simplify: Simplified to (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1546937649.032 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937649.032 * * * * [misc]progress: [ 101 / 141 ] simplifiying candidate # 1546937649.032 * * * * [misc]progress: [ 102 / 141 ] simplifiying candidate # 1546937649.033 * [enter]simplify: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 1546937649.033 * * [misc]simplify: iters left: 6 (10 enodes) 1546937649.036 * * [misc]simplify: iters left: 5 (14 enodes) 1546937649.040 * * [misc]simplify: iters left: 4 (21 enodes) 1546937649.045 * * [misc]simplify: iters left: 3 (27 enodes) 1546937649.052 * * [misc]simplify: iters left: 2 (32 enodes) 1546937649.063 * [exit]simplify: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 1546937649.063 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937649.063 * * * * [misc]progress: [ 103 / 141 ] simplifiying candidate # 1546937649.063 * [enter]simplify: Simplifying (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 1546937649.063 * * [misc]simplify: iters left: 6 (10 enodes) 1546937649.066 * * [misc]simplify: iters left: 5 (14 enodes) 1546937649.070 * * [misc]simplify: iters left: 4 (21 enodes) 1546937649.076 * * [misc]simplify: iters left: 3 (27 enodes) 1546937649.082 * * [misc]simplify: iters left: 2 (32 enodes) 1546937649.090 * [exit]simplify: Simplified to (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 1546937649.090 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (+ 1 1)) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937649.090 * * * * [misc]progress: [ 104 / 141 ] simplifiying candidate # 1546937649.090 * * * * [misc]progress: [ 105 / 141 ] simplifiying candidate # 1546937649.091 * [enter]simplify: Simplifying (+ (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2)))) (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2))))) 1546937649.091 * * [misc]simplify: iters left: 6 (13 enodes) 1546937649.094 * * [misc]simplify: iters left: 5 (21 enodes) 1546937649.100 * * [misc]simplify: iters left: 4 (29 enodes) 1546937649.107 * * [misc]simplify: iters left: 3 (33 enodes) 1546937649.115 * * [misc]simplify: iters left: 2 (34 enodes) 1546937649.123 * [exit]simplify: Simplified to (+ (+ (log (cos (/ (+ phi2 phi1) 2))) (log (- lambda1 lambda2))) (+ (log (cos (/ (+ phi2 phi1) 2))) (log (- lambda1 lambda2)))) 1546937649.123 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (+ (log (cos (/ (+ phi2 phi1) 2))) (log (- lambda1 lambda2))) (+ (log (cos (/ (+ phi2 phi1) 2))) (log (- lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937649.123 * * * * [misc]progress: [ 106 / 141 ] simplifiying candidate # 1546937649.123 * [enter]simplify: Simplifying (+ (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 1546937649.124 * * [misc]simplify: iters left: 6 (15 enodes) 1546937649.126 * * [misc]simplify: iters left: 5 (23 enodes) 1546937649.129 * * [misc]simplify: iters left: 4 (38 enodes) 1546937649.134 * * [misc]simplify: iters left: 3 (50 enodes) 1546937649.139 * * [misc]simplify: iters left: 2 (57 enodes) 1546937649.146 * [exit]simplify: Simplified to (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) 1546937649.146 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937649.146 * * * * [misc]progress: [ 107 / 141 ] simplifiying candidate # 1546937649.147 * [enter]simplify: Simplifying (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ (log (- lambda1 lambda2)) (log (cos (/ (+ phi1 phi2) 2))))) 1546937649.147 * * [misc]simplify: iters left: 6 (15 enodes) 1546937649.149 * * [misc]simplify: iters left: 5 (23 enodes) 1546937649.152 * * [misc]simplify: iters left: 4 (38 enodes) 1546937649.160 * * [misc]simplify: iters left: 3 (50 enodes) 1546937649.172 * * [misc]simplify: iters left: 2 (56 enodes) 1546937649.184 * [exit]simplify: Simplified to (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 1546937649.184 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937649.185 * * * * [misc]progress: [ 108 / 141 ] simplifiying candidate # 1546937649.185 * [enter]simplify: Simplifying (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 1546937649.185 * * [misc]simplify: iters left: 6 (12 enodes) 1546937649.186 * * [misc]simplify: iters left: 5 (19 enodes) 1546937649.189 * * [misc]simplify: iters left: 4 (31 enodes) 1546937649.194 * * [misc]simplify: iters left: 3 (45 enodes) 1546937649.200 * * [misc]simplify: iters left: 2 (54 enodes) 1546937649.206 * * [misc]simplify: iters left: 1 (55 enodes) 1546937649.212 * [exit]simplify: Simplified to (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 1546937649.212 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (exp (+ (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (log (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937649.212 * * * * [misc]progress: [ 109 / 141 ] simplifiying candidate # 1546937649.212 * * * * [misc]progress: [ 110 / 141 ] simplifiying candidate # 1546937649.212 * * * * [misc]progress: [ 111 / 141 ] simplifiying candidate # 1546937649.212 * [enter]simplify: Simplifying (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) 1546937649.212 * * [misc]simplify: iters left: 6 (15 enodes) 1546937649.215 * * [misc]simplify: iters left: 5 (29 enodes) 1546937649.220 * * [misc]simplify: iters left: 4 (95 enodes) 1546937649.262 * [exit]simplify: Simplified to (* (* (* (pow (- lambda1 lambda2) 3) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (pow (- lambda1 lambda2) 3) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))))) 1546937649.262 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (* (* (pow (- lambda1 lambda2) 3) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))) (* (* (pow (- lambda1 lambda2) 3) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937649.263 * * * * [misc]progress: [ 112 / 141 ] simplifiying candidate # 1546937649.263 * [enter]simplify: Simplifying (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 1546937649.263 * * [misc]simplify: iters left: 6 (18 enodes) 1546937649.266 * * [misc]simplify: iters left: 5 (41 enodes) 1546937649.274 * * [misc]simplify: iters left: 4 (162 enodes) 1546937649.434 * [exit]simplify: Simplified to (* (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 3) (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 3)) 1546937649.434 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 3) (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 3))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937649.434 * * * * [misc]progress: [ 113 / 141 ] simplifiying candidate # 1546937649.434 * [enter]simplify: Simplifying (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) 1546937649.435 * * [misc]simplify: iters left: 6 (18 enodes) 1546937649.444 * * [misc]simplify: iters left: 5 (41 enodes) 1546937649.460 * * [misc]simplify: iters left: 4 (161 enodes) 1546937649.637 * [exit]simplify: Simplified to (* (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 3) (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 3)) 1546937649.638 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 3) (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 3))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937649.638 * * * * [misc]progress: [ 114 / 141 ] simplifiying candidate # 1546937649.638 * [enter]simplify: Simplifying (* (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) 1546937649.638 * * [misc]simplify: iters left: 6 (13 enodes) 1546937649.642 * * [misc]simplify: iters left: 5 (28 enodes) 1546937649.652 * * [misc]simplify: iters left: 4 (87 enodes) 1546937649.707 * * [misc]simplify: iters left: 3 (455 enodes) 1546937650.754 * [exit]simplify: Simplified to (* (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 3) (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 3)) 1546937650.754 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (cbrt (* (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 3) (pow (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) 3))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937650.754 * * * * [misc]progress: [ 115 / 141 ] simplifiying candidate # 1546937650.754 * * * * [misc]progress: [ 116 / 141 ] simplifiying candidate # 1546937650.754 * * * * [misc]progress: [ 117 / 141 ] simplifiying candidate # 1546937650.754 * * * * [misc]progress: [ 118 / 141 ] simplifiying candidate # 1546937650.755 * [enter]simplify: Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) 1546937650.755 * * [misc]simplify: iters left: 6 (14 enodes) 1546937650.759 * * [misc]simplify: iters left: 5 (28 enodes) 1546937650.767 * * [misc]simplify: iters left: 4 (54 enodes) 1546937650.792 * * [misc]simplify: iters left: 3 (208 enodes) 1546937650.912 * [exit]simplify: Simplified to (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) 1546937650.912 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937650.912 * [enter]simplify: Simplifying (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) 1546937650.912 * * [misc]simplify: iters left: 6 (8 enodes) 1546937650.913 * * [misc]simplify: iters left: 5 (21 enodes) 1546937650.918 * * [misc]simplify: iters left: 4 (74 enodes) 1546937650.948 * * [misc]simplify: iters left: 3 (356 enodes) 1546937651.343 * [exit]simplify: Simplified to (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) 1546937651.343 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937651.343 * * * * [misc]progress: [ 119 / 141 ] simplifiying candidate # 1546937651.344 * [enter]simplify: Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) 1546937651.344 * * [misc]simplify: iters left: 6 (18 enodes) 1546937651.349 * * [misc]simplify: iters left: 5 (37 enodes) 1546937651.355 * * [misc]simplify: iters left: 4 (89 enodes) 1546937651.381 * * [misc]simplify: iters left: 3 (374 enodes) 1546937651.699 * [exit]simplify: Simplified to (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) 1546937651.699 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937651.700 * [enter]simplify: Simplifying (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)) 1546937651.700 * * [misc]simplify: iters left: 6 (9 enodes) 1546937651.703 * * [misc]simplify: iters left: 5 (23 enodes) 1546937651.712 * * [misc]simplify: iters left: 4 (73 enodes) 1546937651.744 * * [misc]simplify: iters left: 3 (223 enodes) 1546937651.819 * [exit]simplify: Simplified to (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) 1546937651.819 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937651.820 * * * * [misc]progress: [ 120 / 141 ] simplifiying candidate # 1546937651.820 * [enter]simplify: Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) 1546937651.820 * * [misc]simplify: iters left: 6 (18 enodes) 1546937651.826 * * [misc]simplify: iters left: 5 (37 enodes) 1546937651.835 * * [misc]simplify: iters left: 4 (89 enodes) 1546937651.864 * * [misc]simplify: iters left: 3 (398 enodes) 1546937652.366 * [exit]simplify: Simplified to (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) 1546937652.366 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937652.366 * [enter]simplify: Simplifying (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) 1546937652.366 * * [misc]simplify: iters left: 6 (9 enodes) 1546937652.368 * * [misc]simplify: iters left: 5 (23 enodes) 1546937652.372 * * [misc]simplify: iters left: 4 (71 enodes) 1546937652.401 * * [misc]simplify: iters left: 3 (203 enodes) 1546937652.494 * * [misc]simplify: iters left: 2 (431 enodes) 1546937652.700 * [exit]simplify: Simplified to (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1)) 1546937652.700 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937652.700 * * * * [misc]progress: [ 121 / 141 ] simplifiying candidate # 1546937652.700 * [enter]simplify: Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) 1546937652.701 * * [misc]simplify: iters left: 6 (13 enodes) 1546937652.704 * * [misc]simplify: iters left: 5 (24 enodes) 1546937652.713 * * [misc]simplify: iters left: 4 (56 enodes) 1546937652.735 * * [misc]simplify: iters left: 3 (268 enodes) 1546937653.020 * [exit]simplify: Simplified to (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) 1546937653.020 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937653.020 * [enter]simplify: Simplifying (* (+ lambda1 lambda2) (+ lambda1 lambda2)) 1546937653.020 * * [misc]simplify: iters left: 4 (4 enodes) 1546937653.021 * * [misc]simplify: iters left: 3 (11 enodes) 1546937653.023 * * [misc]simplify: iters left: 2 (25 enodes) 1546937653.031 * * [misc]simplify: iters left: 1 (53 enodes) 1546937653.038 * [exit]simplify: Simplified to (* (+ lambda2 lambda1) (+ lambda2 lambda1)) 1546937653.039 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937653.039 * * * * [misc]progress: [ 122 / 141 ] simplifiying candidate # 1546937653.039 * * * * [misc]progress: [ 123 / 141 ] simplifiying candidate # 1546937653.039 * [enter]simplify: Simplifying (cos (/ (+ phi1 phi2) 2)) 1546937653.039 * * [misc]simplify: iters left: 5 (6 enodes) 1546937653.040 * * [misc]simplify: iters left: 4 (7 enodes) 1546937653.041 * [exit]simplify: Simplified to (cos (/ (+ phi2 phi1) 2)) 1546937653.041 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937653.041 * * * * [misc]progress: [ 124 / 141 ] simplifiying candidate # 1546937653.041 * [enter]simplify: Simplifying (- lambda1 lambda2) 1546937653.041 * * [misc]simplify: iters left: 2 (3 enodes) 1546937653.042 * * [misc]simplify: iters left: 1 (5 enodes) 1546937653.042 * [exit]simplify: Simplified to (- lambda1 lambda2) 1546937653.042 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937653.042 * * * * [misc]progress: [ 125 / 141 ] simplifiying candidate # 1546937653.043 * [enter]simplify: Simplifying (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) 1546937653.043 * * [misc]simplify: iters left: 6 (7 enodes) 1546937653.044 * * [misc]simplify: iters left: 5 (14 enodes) 1546937653.046 * * [misc]simplify: iters left: 4 (23 enodes) 1546937653.051 * * [misc]simplify: iters left: 3 (24 enodes) 1546937653.057 * * [misc]simplify: iters left: 2 (25 enodes) 1546937653.063 * [exit]simplify: Simplified to (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) 1546937653.063 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937653.063 * * * * [misc]progress: [ 126 / 141 ] simplifiying candidate # 1546937653.064 * [enter]simplify: Simplifying (+ lambda1 lambda2) 1546937653.064 * * [misc]simplify: iters left: 2 (3 enodes) 1546937653.065 * * [misc]simplify: iters left: 1 (4 enodes) 1546937653.066 * [exit]simplify: Simplified to (+ lambda2 lambda1) 1546937653.066 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))) (+ lambda2 lambda1)) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937653.066 * * * * [misc]progress: [ 127 / 141 ] simplifiying candidate # 1546937653.066 * [enter]simplify: Simplifying (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1546937653.066 * * [misc]simplify: iters left: 6 (16 enodes) 1546937653.071 * * [misc]simplify: iters left: 5 (34 enodes) 1546937653.082 * * [misc]simplify: iters left: 4 (75 enodes) 1546937653.105 * * [misc]simplify: iters left: 3 (275 enodes) 1546937653.292 * [exit]simplify: Simplified to (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) 1546937653.293 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937653.293 * * * * [misc]progress: [ 128 / 141 ] simplifiying candidate # 1546937653.293 * [enter]simplify: Simplifying (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1546937653.293 * * [misc]simplify: iters left: 6 (15 enodes) 1546937653.297 * * [misc]simplify: iters left: 5 (29 enodes) 1546937653.304 * * [misc]simplify: iters left: 4 (80 enodes) 1546937653.329 * * [misc]simplify: iters left: 3 (385 enodes) 1546937653.841 * [exit]simplify: Simplified to (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) 1546937653.841 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (/ (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ lambda1 lambda2)) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937653.841 * * * * [misc]progress: [ 129 / 141 ] simplifiying candidate # 1546937653.841 * * * * [misc]progress: [ 130 / 141 ] simplifiying candidate # 1546937653.842 * [enter]simplify: Simplifying (- phi2 phi1) 1546937653.842 * * [misc]simplify: iters left: 2 (3 enodes) 1546937653.843 * * [misc]simplify: iters left: 1 (5 enodes) 1546937653.844 * [exit]simplify: Simplified to (- phi2 phi1) 1546937653.844 * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- phi2 phi1))) 1546937653.844 * * * * [misc]progress: [ 131 / 141 ] simplifiying candidate # 1546937653.844 * [enter]simplify: Simplifying (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) 1546937653.844 * * [misc]simplify: iters left: 6 (20 enodes) 1546937653.851 * * [misc]simplify: iters left: 5 (57 enodes) 1546937653.863 * * [misc]simplify: iters left: 4 (149 enodes) 1546937653.903 * [exit]simplify: Simplified to (- (- (/ (/ (* (- phi1) (* lambda2 phi2)) (* lambda1 lambda1)) (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 (/ phi2 lambda1)) (cos (* 1/2 (+ phi1 phi2))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))) 1546937653.903 * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (- (- (/ (/ (* (- phi1) (* lambda2 phi2)) (* lambda1 lambda1)) (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 (/ phi2 lambda1)) (cos (* 1/2 (+ phi1 phi2))))) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) 1546937653.904 * * * * [misc]progress: [ 132 / 141 ] simplifiying candidate # 1546937653.904 * [enter]simplify: Simplifying (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))) 1546937653.904 * * [misc]simplify: iters left: 6 (19 enodes) 1546937653.907 * * [misc]simplify: iters left: 5 (53 enodes) 1546937653.920 * * [misc]simplify: iters left: 4 (134 enodes) 1546937653.947 * * [misc]simplify: iters left: 3 (354 enodes) 1546937654.096 * [exit]simplify: Simplified to (+ (* (/ (/ phi1 lambda1) (cos (* (+ phi1 phi2) 1/2))) (+ phi2 (/ phi2 (/ lambda1 lambda2)))) (* (cos (* (+ phi1 phi2) 1/2)) lambda2)) 1546937654.097 * [misc]simplify: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (+ (* (/ (/ phi1 lambda1) (cos (* (+ phi1 phi2) 1/2))) (+ phi2 (/ phi2 (/ lambda1 lambda2)))) (* (cos (* (+ phi1 phi2) 1/2)) lambda2)))) 1546937654.097 * * * * [misc]progress: [ 133 / 141 ] simplifiying candidate # 1546937654.097 * [enter]simplify: Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 1546937654.097 * * [misc]simplify: iters left: 6 (12 enodes) 1546937654.099 * * [misc]simplify: iters left: 5 (25 enodes) 1546937654.102 * * [misc]simplify: iters left: 4 (43 enodes) 1546937654.110 * * [misc]simplify: iters left: 3 (98 enodes) 1546937654.131 * * [misc]simplify: iters left: 2 (167 enodes) 1546937654.178 * * [misc]simplify: iters left: 1 (235 enodes) 1546937654.224 * [exit]simplify: Simplified to (- 1 (* (+ (* phi2 1/4) (* 1/8 phi1)) phi1)) 1546937654.224 * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- 1 (* (+ (* phi2 1/4) (* 1/8 phi1)) phi1)))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937654.225 * * * * [misc]progress: [ 134 / 141 ] simplifiying candidate # 1546937654.225 * [enter]simplify: Simplifying (cos (* 1/2 (+ phi1 phi2))) 1546937654.225 * * [misc]simplify: iters left: 5 (6 enodes) 1546937654.227 * * [misc]simplify: iters left: 4 (14 enodes) 1546937654.231 * * [misc]simplify: iters left: 3 (16 enodes) 1546937654.233 * [exit]simplify: Simplified to (cos (* (+ phi1 phi2) 1/2)) 1546937654.233 * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937654.233 * * * * [misc]progress: [ 135 / 141 ] simplifiying candidate # 1546937654.233 * [enter]simplify: Simplifying (cos (* 1/2 (+ phi1 phi2))) 1546937654.233 * * [misc]simplify: iters left: 5 (6 enodes) 1546937654.234 * * [misc]simplify: iters left: 4 (14 enodes) 1546937654.236 * * [misc]simplify: iters left: 3 (16 enodes) 1546937654.238 * [exit]simplify: Simplified to (cos (* (+ phi1 phi2) 1/2)) 1546937654.238 * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937654.238 * * * * [misc]progress: [ 136 / 141 ] simplifiying candidate # 1546937654.238 * [enter]simplify: Simplifying (- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2)))) 1546937654.238 * * [misc]simplify: iters left: 6 (12 enodes) 1546937654.240 * * [misc]simplify: iters left: 5 (25 enodes) 1546937654.244 * * [misc]simplify: iters left: 4 (43 enodes) 1546937654.254 * * [misc]simplify: iters left: 3 (98 enodes) 1546937654.270 * * [misc]simplify: iters left: 2 (167 enodes) 1546937654.300 * * [misc]simplify: iters left: 1 (235 enodes) 1546937654.341 * [exit]simplify: Simplified to (- 1 (* (+ (* phi2 1/4) (* 1/8 phi1)) phi1)) 1546937654.341 * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (- 1 (* (+ (* phi2 1/4) (* 1/8 phi1)) phi1))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937654.341 * * * * [misc]progress: [ 137 / 141 ] simplifiying candidate # 1546937654.342 * [enter]simplify: Simplifying (cos (* 1/2 (+ phi1 phi2))) 1546937654.342 * * [misc]simplify: iters left: 5 (6 enodes) 1546937654.344 * * [misc]simplify: iters left: 4 (14 enodes) 1546937654.348 * * [misc]simplify: iters left: 3 (16 enodes) 1546937654.351 * [exit]simplify: Simplified to (cos (* (+ phi1 phi2) 1/2)) 1546937654.352 * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937654.352 * * * * [misc]progress: [ 138 / 141 ] simplifiying candidate # 1546937654.352 * [enter]simplify: Simplifying (cos (* 1/2 (+ phi1 phi2))) 1546937654.352 * * [misc]simplify: iters left: 5 (6 enodes) 1546937654.354 * * [misc]simplify: iters left: 4 (14 enodes) 1546937654.358 * * [misc]simplify: iters left: 3 (16 enodes) 1546937654.362 * [exit]simplify: Simplified to (cos (* (+ phi1 phi2) 1/2)) 1546937654.362 * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (* (+ phi1 phi2) 1/2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937654.362 * * * * [misc]progress: [ 139 / 141 ] simplifiying candidate # 1546937654.363 * [enter]simplify: Simplifying (- (+ (pow lambda1 2) (pow lambda2 2)) (* 2 (* lambda2 lambda1))) 1546937654.363 * * [misc]simplify: iters left: 6 (9 enodes) 1546937654.366 * * [misc]simplify: iters left: 5 (20 enodes) 1546937654.373 * * [misc]simplify: iters left: 4 (45 enodes) 1546937654.387 * * [misc]simplify: iters left: 3 (77 enodes) 1546937654.410 * * [misc]simplify: iters left: 2 (95 enodes) 1546937654.434 * * [misc]simplify: iters left: 1 (101 enodes) 1546937654.457 * [exit]simplify: Simplified to (+ (* lambda1 (* lambda2 -2)) (+ (* lambda1 lambda1) (* lambda2 lambda2))) 1546937654.457 * [misc]simplify: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (+ (* lambda1 (* lambda2 -2)) (+ (* lambda1 lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937654.458 * * * * [misc]progress: [ 140 / 141 ] simplifiying candidate # 1546937654.458 * [enter]simplify: Simplifying (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1546937654.458 * * [misc]simplify: iters left: 6 (19 enodes) 1546937654.465 * * [misc]simplify: iters left: 5 (44 enodes) 1546937654.480 * * [misc]simplify: iters left: 4 (107 enodes) 1546937654.513 * * [misc]simplify: iters left: 3 (257 enodes) 1546937654.610 * [exit]simplify: Simplified to (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 (- lambda2 (* 2 lambda1))) (* lambda1 lambda1))) 1546937654.610 * [misc]simplify: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 (- lambda2 (* 2 lambda1))) (* lambda1 lambda1))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937654.610 * * * * [misc]progress: [ 141 / 141 ] simplifiying candidate # 1546937654.610 * [enter]simplify: Simplifying (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 2 (* lambda1 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1546937654.611 * * [misc]simplify: iters left: 6 (19 enodes) 1546937654.617 * * [misc]simplify: iters left: 5 (44 enodes) 1546937654.632 * * [misc]simplify: iters left: 4 (107 enodes) 1546937654.673 * * [misc]simplify: iters left: 3 (257 enodes) 1546937654.817 * [exit]simplify: Simplified to (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 (- lambda2 (* 2 lambda1))) (* lambda1 lambda1))) 1546937654.817 * [misc]simplify: Simplified (2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (sqrt (+ (* (* (cos (* (+ phi1 phi2) 1/2)) (cos (* (+ phi1 phi2) 1/2))) (+ (* lambda2 (- lambda2 (* 2 lambda1))) (* lambda1 lambda1))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937654.817 * * * [misc]progress: adding candidates to table 1546937658.487 * * [misc]progress: iteration 2 / 4 1546937658.487 * * * [misc]progress: picking best candidate 1546937658.540 * * * * [misc]pick: Picked # 1546937658.540 * * * [misc]progress: localizing error 1546937658.573 * * * [misc]progress: generating rewritten candidates 1546937658.573 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1546937658.797 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 2) 1546937658.810 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1 2) 1546937658.823 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) 1546937660.097 * * * [misc]progress: generating series expansions 1546937660.098 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1546937660.100 * [misc]backup-simplify: Simplify (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) into (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) 1546937660.100 * [misc]approximate: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0 1546937660.100 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi2 1546937660.100 * [misc]taylor: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi2 1546937660.100 * [misc]taylor: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi2 1546937660.100 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi2 1546937660.100 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 1546937660.100 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1546937660.100 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1546937660.100 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937660.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.100 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 1546937660.100 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937660.100 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.100 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.100 * [misc]backup-simplify: Simplify 0 into 0 1546937660.100 * [misc]backup-simplify: Simplify 1 into 1 1546937660.100 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 1546937660.101 * [misc]backup-simplify: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1546937660.101 * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1546937660.101 * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1546937660.101 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 1546937660.101 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 1546937660.101 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.101 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 1546937660.101 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in phi2 1546937660.101 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937660.101 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937660.102 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi2 1546937660.102 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi2 1546937660.102 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.102 * [misc]backup-simplify: Simplify 0 into 0 1546937660.102 * [misc]backup-simplify: Simplify 1 into 1 1546937660.102 * [misc]taylor: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi2 1546937660.102 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 1546937660.102 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in phi2 1546937660.102 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937660.102 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937660.102 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 1546937660.102 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1546937660.102 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1546937660.102 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937660.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.102 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 1546937660.102 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937660.102 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.102 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.102 * [misc]backup-simplify: Simplify 0 into 0 1546937660.102 * [misc]backup-simplify: Simplify 1 into 1 1546937660.102 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 1546937660.102 * [misc]backup-simplify: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1546937660.102 * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1546937660.102 * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1546937660.102 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 1546937660.102 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 1546937660.103 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.103 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 1546937660.103 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi2 1546937660.103 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937660.103 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.103 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi2 1546937660.103 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi2 1546937660.103 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937660.103 * [misc]backup-simplify: Simplify 2 into 2 1546937660.103 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi2 1546937660.103 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937660.103 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.103 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.103 * [misc]backup-simplify: Simplify 0 into 0 1546937660.103 * [misc]backup-simplify: Simplify 1 into 1 1546937660.103 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi2 1546937660.103 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937660.103 * [misc]backup-simplify: Simplify 2 into 2 1546937660.103 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi2 1546937660.103 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 1546937660.103 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1546937660.103 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1546937660.103 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937660.103 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.103 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 1546937660.103 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937660.103 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.103 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.104 * [misc]backup-simplify: Simplify 0 into 0 1546937660.104 * [misc]backup-simplify: Simplify 1 into 1 1546937660.104 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 1546937660.104 * [misc]backup-simplify: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1546937660.104 * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1546937660.104 * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1546937660.104 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 1546937660.104 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 1546937660.104 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.104 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 1546937660.104 * [misc]taylor: Taking taylor expansion of (* lambda2 lambda1) in phi2 1546937660.104 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937660.104 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937660.104 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937660.104 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937660.104 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 1546937660.105 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937660.105 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) 1546937660.105 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937660.105 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 1546937660.105 * [misc]backup-simplify: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) 1546937660.105 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937660.105 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 1546937660.106 * [misc]backup-simplify: Simplify (+ 0 (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2)) 1546937660.106 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)) (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (pow phi1 2))) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) 1546937660.106 * [misc]backup-simplify: Simplify (* phi1 0) into 0 1546937660.106 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546937660.107 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 1546937660.107 * [misc]backup-simplify: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 1546937660.107 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 phi1)) 2) (* lambda2 lambda1)) into (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)) 1546937660.107 * [misc]backup-simplify: Simplify (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 1546937660.107 * [misc]backup-simplify: Simplify (+ 0 (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))) 1546937660.107 * [misc]backup-simplify: Simplify (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 1546937660.108 * [misc]backup-simplify: Simplify (+ (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (- (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) 1546937660.110 * [misc]backup-simplify: Simplify (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) into (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))) 1546937660.110 * [misc]backup-simplify: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 1546937660.110 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.110 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 1546937660.110 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.111 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 1546937660.112 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937660.112 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 1546937660.112 * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 1546937660.112 * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 1546937660.113 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 1546937660.113 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (pow lambda1 2))) into (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) 1546937660.113 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.113 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 1546937660.114 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.114 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 1546937660.115 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937660.115 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 1546937660.115 * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 1546937660.115 * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 1546937660.116 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 1546937660.116 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1546937660.116 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* 0 (pow (cos (* 1/2 phi1)) 2))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 1546937660.116 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937660.117 * [misc]backup-simplify: Simplify (+ (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 0) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 1546937660.117 * [misc]backup-simplify: Simplify (+ 0 (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) 1546937660.117 * [misc]backup-simplify: Simplify (+ (- (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2)))) (- (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) into (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) 1546937660.118 * [misc]backup-simplify: Simplify (+ (* phi1 1) (* 0 0)) into phi1 1546937660.118 * [misc]backup-simplify: Simplify (+ (* 2 phi1) (* 0 0)) into (* 2 phi1) 1546937660.118 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0 1546937660.118 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.118 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi1)) 0) (* 0 1)) into 0 1546937660.118 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.119 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 phi1)) into 1/2 1546937660.120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937660.121 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi1)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi1))) 1546937660.121 * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi1)))) into (- (* 1/2 (sin (* 1/2 phi1)))) 1546937660.121 * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi1))))) into (- (* 1/2 (sin (* 1/2 phi1)))) 1546937660.121 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi1)) (- (* 1/2 (sin (* 1/2 phi1))))) (* (- (* 1/2 (sin (* 1/2 phi1)))) (cos (* 1/2 phi1)))) into (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) 1546937660.122 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 phi1)) 2) 0) (* (- (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))) (* lambda2 lambda1))) into (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) 1546937660.122 * [misc]backup-simplify: Simplify (+ (* 2 (- (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) (* 0 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) 1546937660.123 * [misc]backup-simplify: Simplify (+ (* 2 phi1) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1))))) 1546937660.123 * [misc]backup-simplify: Simplify (- (- (* 2 phi1) (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1)) 1546937660.124 * [misc]backup-simplify: Simplify (+ (- (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (* 2 phi1))) into (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) 1546937660.126 * [misc]backup-simplify: Simplify (/ (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) (* 2 (sqrt (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1))))))) into (* 1/2 (* (sqrt (/ 1 (- (+ (* (pow lambda2 2) (pow (cos (* 1/2 phi1)) 2)) (+ (pow phi1 2) (* (pow (cos (* 1/2 phi1)) 2) (pow lambda1 2)))) (* 2 (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) lambda1)))))) (- (* 2 (* lambda2 (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda1)))) (+ (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) (pow lambda1 2))) (+ (* 2 phi1) (* (pow lambda2 2) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))))) 1546937660.126 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in phi1 1546937660.126 * [misc]taylor: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in phi1 1546937660.126 * [misc]taylor: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in phi1 1546937660.126 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in phi1 1546937660.126 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937660.126 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937660.126 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937660.126 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937660.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.126 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937660.126 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.126 * [misc]backup-simplify: Simplify 0 into 0 1546937660.126 * [misc]backup-simplify: Simplify 1 into 1 1546937660.126 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.126 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.127 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937660.127 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937660.127 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937660.127 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937660.127 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937660.127 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937660.127 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.127 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937660.127 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in phi1 1546937660.127 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937660.127 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937660.127 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in phi1 1546937660.127 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937660.127 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.127 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.127 * [misc]taylor: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in phi1 1546937660.127 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1546937660.128 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in phi1 1546937660.128 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937660.128 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937660.128 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937660.128 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937660.128 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937660.128 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937660.128 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.128 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937660.128 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.128 * [misc]backup-simplify: Simplify 0 into 0 1546937660.128 * [misc]backup-simplify: Simplify 1 into 1 1546937660.128 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.128 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.128 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937660.128 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937660.128 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937660.128 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937660.128 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937660.128 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937660.128 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.128 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937660.129 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937660.129 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.129 * [misc]backup-simplify: Simplify 0 into 0 1546937660.129 * [misc]backup-simplify: Simplify 1 into 1 1546937660.129 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in phi1 1546937660.129 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 1546937660.129 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937660.129 * [misc]backup-simplify: Simplify 2 into 2 1546937660.129 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937660.129 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.129 * [misc]backup-simplify: Simplify 0 into 0 1546937660.129 * [misc]backup-simplify: Simplify 1 into 1 1546937660.129 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.129 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.129 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in phi1 1546937660.129 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937660.129 * [misc]backup-simplify: Simplify 2 into 2 1546937660.129 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in phi1 1546937660.129 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937660.129 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937660.129 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937660.129 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937660.129 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.129 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937660.129 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.129 * [misc]backup-simplify: Simplify 0 into 0 1546937660.129 * [misc]backup-simplify: Simplify 1 into 1 1546937660.129 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.129 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.129 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937660.129 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937660.130 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937660.130 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937660.130 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937660.130 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937660.130 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.130 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937660.130 * [misc]taylor: Taking taylor expansion of (* lambda2 lambda1) in phi1 1546937660.130 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937660.130 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937660.130 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937660.130 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937660.130 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937660.130 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937660.131 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) 1546937660.131 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.131 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937660.131 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937660.131 * [misc]backup-simplify: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 1546937660.131 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 0) into (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)) 1546937660.132 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) into (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2))) 1546937660.132 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (+ (pow phi2 2) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) into (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) 1546937660.132 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937660.132 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546937660.133 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937660.133 * [misc]backup-simplify: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 1546937660.133 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) into (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)) 1546937660.133 * [misc]backup-simplify: Simplify (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 1546937660.133 * [misc]backup-simplify: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))) 1546937660.133 * [misc]backup-simplify: Simplify (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 1546937660.134 * [misc]backup-simplify: Simplify (+ (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (- (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) 1546937660.135 * [misc]backup-simplify: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))) 1546937660.135 * [misc]backup-simplify: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 1546937660.136 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.136 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 1546937660.136 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.136 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 1546937660.137 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937660.138 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 1546937660.138 * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937660.138 * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937660.138 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 1546937660.139 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (pow lambda1 2))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) 1546937660.139 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937660.139 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.139 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 1546937660.139 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.140 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 1546937660.141 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937660.141 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 1546937660.141 * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937660.141 * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937660.142 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 1546937660.142 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1546937660.142 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) (* 0 (pow (cos (* 1/2 phi2)) 2))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 1546937660.143 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 0) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 1546937660.144 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))))) 1546937660.146 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))))) (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2))))))) into (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) 1546937660.146 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937660.146 * [misc]backup-simplify: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 1546937660.146 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (* 0 lambda1)) into 0 1546937660.146 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.147 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 1546937660.147 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.147 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 1546937660.148 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937660.148 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 1546937660.149 * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937660.149 * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937660.149 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 1546937660.150 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 phi2)) 2) 0) (* (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) (* lambda2 lambda1))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) 1546937660.151 * [misc]backup-simplify: Simplify (+ (* 2 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))))) (* 0 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))) 1546937660.151 * [misc]backup-simplify: Simplify (+ (* 2 phi2) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1))))) 1546937660.152 * [misc]backup-simplify: Simplify (- (- (* 2 phi2) (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2)) 1546937660.155 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2)))))))) (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (* 2 phi2))) into (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) 1546937660.159 * [misc]backup-simplify: Simplify (/ (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1))))))) into (* 1/2 (* (- (+ (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* lambda2 lambda1))) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* lambda2 lambda1)))) (+ (* 2 phi2) (+ (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda2 2)))) (+ (* 1/2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (pow lambda1 2)))) (* 1/2 (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (pow lambda1 2))))))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow (cos (* 1/2 phi2)) 2) (pow lambda1 2)) (* (pow (cos (* 1/2 phi2)) 2) (pow lambda2 2)))) (* 2 (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 lambda1)))))))) 1546937660.159 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda2 1546937660.159 * [misc]taylor: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda2 1546937660.159 * [misc]taylor: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda2 1546937660.159 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda2 1546937660.159 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937660.159 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937660.159 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937660.159 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937660.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.159 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937660.159 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.159 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.159 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.159 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.159 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937660.160 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937660.160 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.160 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937660.160 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.160 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937660.160 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.160 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.160 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in lambda2 1546937660.161 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937660.161 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937660.161 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 1546937660.161 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937660.161 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.161 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.161 * [misc]taylor: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 1546937660.161 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937660.161 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937660.161 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937660.161 * [misc]backup-simplify: Simplify 0 into 0 1546937660.161 * [misc]backup-simplify: Simplify 1 into 1 1546937660.161 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937660.161 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937660.161 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937660.161 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937660.161 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.161 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937660.161 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.161 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.161 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.161 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.161 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937660.161 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937660.161 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.161 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937660.162 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.162 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937660.162 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.162 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.162 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937660.162 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.162 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.162 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda2 1546937660.162 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 1546937660.162 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937660.162 * [misc]backup-simplify: Simplify 2 into 2 1546937660.162 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937660.162 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.162 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.162 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.162 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.162 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda2 1546937660.162 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937660.162 * [misc]backup-simplify: Simplify 2 into 2 1546937660.162 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda2 1546937660.162 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937660.162 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937660.163 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937660.163 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937660.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.163 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937660.163 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.163 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.163 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.163 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.163 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937660.163 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937660.163 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.163 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937660.163 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.163 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937660.163 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.164 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.164 * [misc]taylor: Taking taylor expansion of (* lambda2 lambda1) in lambda2 1546937660.164 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937660.164 * [misc]backup-simplify: Simplify 0 into 0 1546937660.164 * [misc]backup-simplify: Simplify 1 into 1 1546937660.164 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937660.164 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937660.164 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937660.164 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937660.164 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) into (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937660.177 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.177 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937660.177 * [misc]backup-simplify: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 1546937660.178 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 1546937660.178 * [misc]backup-simplify: Simplify (+ (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (+ (pow phi2 2) (pow phi1 2))) into (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1546937660.178 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937660.178 * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1546937660.178 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937660.178 * [misc]backup-simplify: Simplify (* 0 lambda1) into 0 1546937660.179 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 1546937660.179 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546937660.179 * [misc]backup-simplify: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 1546937660.179 * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1546937660.180 * [misc]backup-simplify: Simplify (+ (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))) 1546937660.180 * [misc]backup-simplify: Simplify (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))) 1546937660.180 * [misc]backup-simplify: Simplify (+ (* lambda1 0) (* 0 lambda1)) into 0 1546937660.181 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.181 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937660.181 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.181 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937660.182 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937660.183 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937660.183 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.183 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.183 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937660.183 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (* 0 (pow lambda1 2))) into 0 1546937660.184 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937660.184 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937660.184 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.184 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.184 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.184 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1546937660.184 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 1546937660.185 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 1546937660.185 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.185 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937660.185 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.185 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937660.186 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937660.187 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937660.187 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.187 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.187 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937660.188 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) (* 0 0)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1) 1546937660.188 * [misc]backup-simplify: Simplify (+ (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) (* 0 0)) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) 1546937660.188 * [misc]backup-simplify: Simplify (+ 0 (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)) 1546937660.188 * [misc]backup-simplify: Simplify (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 1546937660.189 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1)))) into (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) 1546937660.190 * [misc]backup-simplify: Simplify (/ (- (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda1))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (pow phi1 2) (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (* phi1 phi2))))))) 1546937660.190 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 1546937660.190 * [misc]taylor: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 1546937660.190 * [misc]taylor: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 1546937660.190 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 1546937660.190 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1546937660.190 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1546937660.190 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1546937660.190 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937660.190 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.190 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 1546937660.190 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937660.190 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.190 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937660.190 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.190 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937660.190 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937660.190 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.190 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937660.191 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.191 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937660.191 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.191 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.191 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in lambda1 1546937660.191 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937660.191 * [misc]backup-simplify: Simplify 0 into 0 1546937660.191 * [misc]backup-simplify: Simplify 1 into 1 1546937660.191 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 1546937660.191 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda1 1546937660.191 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937660.191 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.191 * [misc]taylor: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 1546937660.191 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 1546937660.191 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda1 1546937660.191 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937660.191 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937660.191 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1546937660.191 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1546937660.191 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1546937660.191 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937660.191 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.191 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 1546937660.191 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937660.192 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.192 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937660.192 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.192 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937660.192 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937660.192 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.192 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937660.192 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.192 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937660.192 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.192 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.192 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda1 1546937660.192 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937660.192 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.192 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 1546937660.193 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 1546937660.193 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937660.193 * [misc]backup-simplify: Simplify 2 into 2 1546937660.193 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda1 1546937660.193 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937660.193 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.193 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937660.193 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.193 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 1546937660.193 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937660.193 * [misc]backup-simplify: Simplify 2 into 2 1546937660.193 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 1546937660.193 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1546937660.193 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1546937660.193 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1546937660.193 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937660.193 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.193 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 1546937660.193 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937660.193 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.193 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937660.193 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.193 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937660.193 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937660.193 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.193 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937660.194 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.194 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937660.194 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.194 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.194 * [misc]taylor: Taking taylor expansion of (* lambda2 lambda1) in lambda1 1546937660.194 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937660.194 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937660.194 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937660.194 * [misc]backup-simplify: Simplify 0 into 0 1546937660.194 * [misc]backup-simplify: Simplify 1 into 1 1546937660.194 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.194 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937660.194 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937660.195 * [misc]backup-simplify: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937660.195 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937660.195 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 1546937660.196 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 1546937660.196 * [misc]backup-simplify: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 1546937660.196 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937660.196 * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1546937660.196 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937660.197 * [misc]backup-simplify: Simplify (* lambda2 0) into 0 1546937660.197 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 1546937660.197 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546937660.197 * [misc]backup-simplify: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 1546937660.197 * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1546937660.198 * [misc]backup-simplify: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1546937660.198 * [misc]backup-simplify: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 1546937660.199 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937660.199 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.199 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937660.199 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.199 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937660.201 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937660.201 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937660.201 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.201 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.201 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937660.201 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1546937660.202 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 1546937660.202 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937660.202 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.202 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.202 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.202 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1546937660.202 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 1546937660.203 * [misc]backup-simplify: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 1546937660.203 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.203 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937660.203 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.203 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937660.205 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937660.205 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937660.205 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.205 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.205 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937660.206 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937660.206 * [misc]backup-simplify: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1546937660.206 * [misc]backup-simplify: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1546937660.207 * [misc]backup-simplify: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1546937660.207 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1546937660.208 * [misc]backup-simplify: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 1546937660.208 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))))) in lambda1 1546937660.208 * [misc]taylor: Taking taylor expansion of (- (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))))) in lambda1 1546937660.208 * [misc]taylor: Taking taylor expansion of (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) in lambda1 1546937660.208 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) in lambda1 1546937660.208 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1546937660.208 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1546937660.208 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1546937660.208 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937660.208 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.209 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 1546937660.209 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937660.209 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.209 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937660.209 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.209 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937660.209 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937660.210 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.210 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937660.210 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.210 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937660.211 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.211 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.211 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in lambda1 1546937660.211 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937660.211 * [misc]backup-simplify: Simplify 0 into 0 1546937660.211 * [misc]backup-simplify: Simplify 1 into 1 1546937660.211 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda1 1546937660.211 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda1 1546937660.211 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937660.211 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.211 * [misc]taylor: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda1 1546937660.211 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 1546937660.211 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda1 1546937660.211 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937660.211 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937660.211 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1546937660.211 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1546937660.211 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1546937660.211 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937660.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.211 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 1546937660.211 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937660.211 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.211 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937660.212 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.212 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937660.212 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937660.212 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.212 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937660.212 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.212 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937660.212 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.212 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.212 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda1 1546937660.212 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937660.212 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.212 * [misc]taylor: Taking taylor expansion of (+ (* 2 (* phi1 phi2)) (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)))) in lambda1 1546937660.212 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda1 1546937660.213 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937660.213 * [misc]backup-simplify: Simplify 2 into 2 1546937660.213 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda1 1546937660.213 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937660.213 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.213 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937660.213 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.213 * [misc]taylor: Taking taylor expansion of (* 2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1))) in lambda1 1546937660.213 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937660.213 * [misc]backup-simplify: Simplify 2 into 2 1546937660.213 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (* lambda2 lambda1)) in lambda1 1546937660.213 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1546937660.213 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1546937660.213 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1546937660.213 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937660.213 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.213 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 1546937660.213 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937660.213 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.213 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937660.213 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.213 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937660.213 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937660.213 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.213 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937660.213 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.213 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937660.214 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.214 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.214 * [misc]taylor: Taking taylor expansion of (* lambda2 lambda1) in lambda1 1546937660.214 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937660.214 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937660.214 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937660.214 * [misc]backup-simplify: Simplify 0 into 0 1546937660.214 * [misc]backup-simplify: Simplify 1 into 1 1546937660.214 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.214 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937660.214 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937660.215 * [misc]backup-simplify: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937660.215 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937660.215 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) into (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) 1546937660.215 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 1546937660.216 * [misc]backup-simplify: Simplify (+ 0 (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)))) into (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) 1546937660.216 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937660.216 * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1546937660.216 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937660.217 * [misc]backup-simplify: Simplify (* lambda2 0) into 0 1546937660.217 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into 0 1546937660.217 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546937660.217 * [misc]backup-simplify: Simplify (+ (* 2 (* phi1 phi2)) 0) into (* 2 (* phi1 phi2)) 1546937660.217 * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1546937660.218 * [misc]backup-simplify: Simplify (+ (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) 1546937660.219 * [misc]backup-simplify: Simplify (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) 1546937660.219 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937660.219 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.219 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937660.219 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.220 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937660.221 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937660.221 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937660.221 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.221 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.222 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937660.222 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1546937660.222 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 1546937660.222 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937660.222 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.222 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.223 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.223 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1546937660.223 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 1546937660.223 * [misc]backup-simplify: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 1546937660.223 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.224 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937660.224 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.224 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937660.225 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937660.225 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937660.226 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.226 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.226 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937660.226 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) (* 0 0)) into (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937660.227 * [misc]backup-simplify: Simplify (+ (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0)) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1546937660.227 * [misc]backup-simplify: Simplify (+ 0 (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1546937660.227 * [misc]backup-simplify: Simplify (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1546937660.228 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1546937660.229 * [misc]backup-simplify: Simplify (/ (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 1546937660.229 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 1546937660.229 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 1546937660.229 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 1546937660.229 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937660.229 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.229 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.229 * [misc]taylor: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 1546937660.229 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937660.229 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937660.229 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937660.229 * [misc]backup-simplify: Simplify 0 into 0 1546937660.229 * [misc]backup-simplify: Simplify 1 into 1 1546937660.229 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937660.229 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937660.229 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937660.229 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937660.229 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.229 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937660.229 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.229 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.230 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.230 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.230 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937660.230 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937660.230 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.230 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937660.230 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.230 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937660.230 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.230 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.230 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937660.230 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.231 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.231 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 1546937660.231 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937660.231 * [misc]backup-simplify: Simplify 2 into 2 1546937660.231 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937660.231 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.231 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.231 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.231 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.231 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.231 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937660.231 * [misc]backup-simplify: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 1546937660.231 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 1546937660.231 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937660.231 * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1546937660.231 * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1546937660.232 * [misc]backup-simplify: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1546937660.232 * [misc]backup-simplify: Simplify (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 1546937660.232 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937660.232 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937660.232 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.232 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.233 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1546937660.233 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 1546937660.233 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.233 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.233 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 1546937660.234 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 1546937660.234 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 1546937660.234 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 1546937660.234 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937660.234 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.234 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.234 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937660.234 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.234 * [misc]backup-simplify: Simplify 0 into 0 1546937660.234 * [misc]backup-simplify: Simplify 1 into 1 1546937660.234 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 1546937660.234 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937660.234 * [misc]backup-simplify: Simplify 2 into 2 1546937660.234 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937660.234 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.234 * [misc]backup-simplify: Simplify 0 into 0 1546937660.234 * [misc]backup-simplify: Simplify 1 into 1 1546937660.234 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.234 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.234 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.234 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1546937660.234 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937660.234 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546937660.235 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.235 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1546937660.235 * [misc]backup-simplify: Simplify (sqrt (pow phi2 2)) into phi2 1546937660.235 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937660.235 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.235 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937660.235 * [misc]backup-simplify: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 1546937660.236 * [misc]backup-simplify: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 1546937660.236 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 1546937660.236 * [misc]backup-simplify: Simplify (/ (- (* 2 phi2)) (* 2 (sqrt (pow phi2 2)))) into -1 1546937660.236 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.236 * [misc]backup-simplify: Simplify 0 into 0 1546937660.236 * [misc]backup-simplify: Simplify 1 into 1 1546937660.236 * [misc]backup-simplify: Simplify 0 into 0 1546937660.236 * [misc]taylor: Taking taylor expansion of (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 1546937660.236 * [misc]taylor: Taking taylor expansion of -1 in lambda2 1546937660.236 * [misc]backup-simplify: Simplify -1 into -1 1546937660.236 * [misc]taylor: Taking taylor expansion of (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 1546937660.236 * [misc]taylor: Taking taylor expansion of (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937660.236 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937660.236 * [misc]backup-simplify: Simplify 0 into 0 1546937660.236 * [misc]backup-simplify: Simplify 1 into 1 1546937660.236 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937660.236 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937660.236 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937660.236 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937660.236 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.236 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937660.236 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.237 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.237 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.237 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.237 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937660.237 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937660.237 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.237 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937660.237 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.237 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937660.237 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.237 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.237 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 1546937660.238 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 1546937660.238 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 1546937660.238 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 1546937660.238 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937660.238 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.238 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.238 * [misc]taylor: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 1546937660.238 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937660.238 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937660.238 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937660.238 * [misc]backup-simplify: Simplify 0 into 0 1546937660.238 * [misc]backup-simplify: Simplify 1 into 1 1546937660.238 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937660.238 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937660.238 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937660.238 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937660.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.238 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937660.238 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.238 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.238 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.238 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.238 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937660.238 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937660.238 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.239 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937660.239 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.239 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937660.239 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.239 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.239 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937660.239 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.239 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.239 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 1546937660.239 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937660.239 * [misc]backup-simplify: Simplify 2 into 2 1546937660.239 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937660.239 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.239 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.239 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.239 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.239 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.240 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937660.240 * [misc]backup-simplify: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 1546937660.240 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 1546937660.240 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937660.240 * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1546937660.240 * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1546937660.240 * [misc]backup-simplify: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1546937660.241 * [misc]backup-simplify: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 1546937660.241 * [misc]backup-simplify: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 1546937660.241 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937660.241 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937660.241 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.241 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.242 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1546937660.242 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 1546937660.242 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.242 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.243 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 1546937660.243 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 1546937660.243 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937660.243 * [misc]backup-simplify: Simplify (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into 0 1546937660.244 * [misc]backup-simplify: Simplify (* 0 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into 0 1546937660.244 * [misc]backup-simplify: Simplify (* -1 0) into 0 1546937660.244 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937660.244 * [misc]backup-simplify: Simplify 0 into 0 1546937660.244 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937660.244 * [misc]backup-simplify: Simplify 0 into 0 1546937660.244 * [misc]backup-simplify: Simplify 0 into 0 1546937660.244 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937660.244 * [misc]backup-simplify: Simplify 0 into 0 1546937660.244 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937660.244 * [misc]backup-simplify: Simplify 0 into 0 1546937660.244 * [misc]backup-simplify: Simplify 0 into 0 1546937660.244 * [misc]taylor: Taking taylor expansion of -1 in phi2 1546937660.244 * [misc]backup-simplify: Simplify -1 into -1 1546937660.244 * [misc]backup-simplify: Simplify -1 into -1 1546937660.244 * [misc]backup-simplify: Simplify 1 into 1 1546937660.245 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937660.245 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937660.245 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937660.245 * [misc]backup-simplify: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 1546937660.247 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937660.247 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937660.247 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.247 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 1546937660.248 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937660.249 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937660.249 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.249 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.250 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 1546937660.250 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (+ (* 0 0) (* 0 lambda2))) into 0 1546937660.250 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) 0) (+ (* 0 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into 0 1546937660.251 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 1546937660.251 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.251 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.251 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937660.251 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 1546937660.252 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 1546937660.252 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 1546937660.253 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937660.254 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937660.254 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.254 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 1546937660.256 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937660.256 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937660.256 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.256 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.257 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 1546937660.257 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) (+ (* 0 lambda2) (* 0 0))) into 0 1546937660.258 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) (* 0 0))) into 0 1546937660.258 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.258 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.258 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937660.261 * [misc]backup-simplify: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (* -1 (* (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) 1546937660.261 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))))) in lambda2 1546937660.261 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937660.261 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.261 * [misc]taylor: Taking taylor expansion of (* (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))))) in lambda2 1546937660.261 * [misc]taylor: Taking taylor expansion of (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 1546937660.261 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937660.261 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937660.261 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937660.261 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937660.262 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.262 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937660.262 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.262 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.262 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.262 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.262 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937660.262 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937660.262 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.262 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937660.262 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.262 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937660.263 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.263 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.263 * [misc]taylor: Taking taylor expansion of (/ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 1546937660.263 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 4)) in lambda2 1546937660.263 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937660.263 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937660.263 * [misc]backup-simplify: Simplify 0 into 0 1546937660.263 * [misc]backup-simplify: Simplify 1 into 1 1546937660.263 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 4) in lambda2 1546937660.263 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937660.263 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937660.263 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937660.263 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.263 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937660.263 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.263 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.263 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.263 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.263 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937660.263 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937660.263 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.264 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937660.264 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.264 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937660.264 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.264 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.264 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 1546937660.264 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 1546937660.264 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937660.264 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.264 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.264 * [misc]taylor: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 1546937660.265 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937660.265 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937660.265 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937660.265 * [misc]backup-simplify: Simplify 0 into 0 1546937660.265 * [misc]backup-simplify: Simplify 1 into 1 1546937660.265 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937660.265 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937660.265 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937660.265 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937660.265 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.265 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937660.265 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.265 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.265 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.265 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.265 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937660.265 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937660.265 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.265 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937660.265 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.266 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937660.266 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.266 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.266 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937660.266 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.266 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.266 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 1546937660.266 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937660.266 * [misc]backup-simplify: Simplify 2 into 2 1546937660.266 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937660.266 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.266 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.266 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.266 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.266 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937660.267 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937660.267 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 1546937660.267 * [misc]backup-simplify: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 4)) into (pow (cos (* 1/2 (+ phi1 phi2))) 4) 1546937660.267 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.267 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937660.267 * [misc]backup-simplify: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 1546937660.267 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 1546937660.268 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937660.268 * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1546937660.268 * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1546937660.268 * [misc]backup-simplify: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1546937660.268 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ (pow (cos (* 1/2 (+ phi1 phi2))) 4) (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 1546937660.268 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))))) in lambda2 1546937660.269 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2)))) in lambda2 1546937660.269 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) (* 2 (* phi1 phi2))) in lambda2 1546937660.269 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2))) in lambda2 1546937660.269 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937660.269 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.269 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.269 * [misc]taylor: Taking taylor expansion of (+ (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (pow phi1 2)) in lambda2 1546937660.269 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937660.269 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937660.269 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937660.269 * [misc]backup-simplify: Simplify 0 into 0 1546937660.269 * [misc]backup-simplify: Simplify 1 into 1 1546937660.269 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937660.269 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937660.269 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937660.269 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937660.269 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.269 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937660.269 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.269 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.269 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.269 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.269 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937660.269 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937660.269 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.270 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937660.270 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.270 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937660.270 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.270 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937660.270 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937660.270 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.270 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.270 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in lambda2 1546937660.270 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937660.271 * [misc]backup-simplify: Simplify 2 into 2 1546937660.271 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937660.271 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.271 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.271 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.271 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.271 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.271 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937660.271 * [misc]backup-simplify: Simplify (+ 0 (pow phi1 2)) into (pow phi1 2) 1546937660.271 * [misc]backup-simplify: Simplify (+ (pow phi2 2) (pow phi1 2)) into (+ (pow phi2 2) (pow phi1 2)) 1546937660.271 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937660.271 * [misc]backup-simplify: Simplify (* 2 (* phi1 phi2)) into (* 2 (* phi1 phi2)) 1546937660.271 * [misc]backup-simplify: Simplify (- (* 2 (* phi1 phi2))) into (- (* 2 (* phi1 phi2))) 1546937660.272 * [misc]backup-simplify: Simplify (+ (+ (pow phi2 2) (pow phi1 2)) (- (* 2 (* phi1 phi2)))) into (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) 1546937660.272 * [misc]backup-simplify: Simplify (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) into (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) 1546937660.272 * [misc]backup-simplify: Simplify (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) into (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) 1546937660.272 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937660.272 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937660.273 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.273 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.273 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1546937660.273 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* phi1 phi2))) into 0 1546937660.274 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.274 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.274 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) (/ 0 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 1546937660.275 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into 0 1546937660.275 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937660.275 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937660.275 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) 1546937660.276 * [misc]backup-simplify: Simplify (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 1546937660.276 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 1546937660.276 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937660.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.276 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 1546937660.276 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937660.276 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937660.276 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937660.276 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937660.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.276 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937660.276 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.276 * [misc]backup-simplify: Simplify 0 into 0 1546937660.276 * [misc]backup-simplify: Simplify 1 into 1 1546937660.276 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.276 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.276 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937660.276 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937660.276 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937660.276 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937660.276 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937660.276 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937660.277 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.277 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937660.277 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 1546937660.277 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 1546937660.277 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 1546937660.277 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 1546937660.277 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937660.277 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.277 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.277 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937660.277 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.277 * [misc]backup-simplify: Simplify 0 into 0 1546937660.277 * [misc]backup-simplify: Simplify 1 into 1 1546937660.277 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 1546937660.277 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937660.277 * [misc]backup-simplify: Simplify 2 into 2 1546937660.277 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937660.277 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.277 * [misc]backup-simplify: Simplify 0 into 0 1546937660.277 * [misc]backup-simplify: Simplify 1 into 1 1546937660.277 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.277 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.277 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.277 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1546937660.277 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937660.277 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546937660.277 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.278 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1546937660.278 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937660.278 * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 1546937660.278 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937660.278 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.278 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937660.278 * [misc]backup-simplify: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 1546937660.278 * [misc]backup-simplify: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 1546937660.279 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 1546937660.279 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 1546937660.279 * [misc]backup-simplify: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 1546937660.279 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937660.279 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 1546937660.279 * [misc]backup-simplify: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 1546937660.279 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 1546937660.279 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937660.279 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.279 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 1546937660.279 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937660.279 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937660.279 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937660.279 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937660.280 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.280 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.280 * [misc]backup-simplify: Simplify 0 into 0 1546937660.280 * [misc]backup-simplify: Simplify 1 into 1 1546937660.280 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937660.280 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937660.280 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.280 * [misc]backup-simplify: Simplify 0 into 0 1546937660.280 * [misc]backup-simplify: Simplify 1 into 1 1546937660.280 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937660.280 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.280 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.280 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937660.281 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1546937660.281 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1546937660.281 * [misc]backup-simplify: Simplify 0 into 0 1546937660.281 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.281 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937660.281 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.281 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937660.282 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937660.283 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937660.283 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.283 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.283 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937660.283 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937660.284 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) 1546937660.284 * [misc]backup-simplify: Simplify (+ (* -1 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) (* 0 0)) into (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 1546937660.284 * [misc]taylor: Taking taylor expansion of (- (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 1546937660.284 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 1546937660.284 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937660.284 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937660.284 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937660.284 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937660.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.284 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937660.284 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.284 * [misc]backup-simplify: Simplify 0 into 0 1546937660.284 * [misc]backup-simplify: Simplify 1 into 1 1546937660.284 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.284 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.284 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937660.284 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937660.284 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937660.284 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937660.285 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937660.285 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937660.285 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.285 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937660.285 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 1546937660.285 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 1546937660.285 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 1546937660.285 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 1546937660.285 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937660.285 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.285 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.285 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937660.285 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.285 * [misc]backup-simplify: Simplify 0 into 0 1546937660.285 * [misc]backup-simplify: Simplify 1 into 1 1546937660.285 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 1546937660.285 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937660.285 * [misc]backup-simplify: Simplify 2 into 2 1546937660.285 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937660.285 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.285 * [misc]backup-simplify: Simplify 0 into 0 1546937660.285 * [misc]backup-simplify: Simplify 1 into 1 1546937660.285 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.285 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.285 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.285 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1546937660.285 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937660.285 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546937660.285 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.286 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1546937660.286 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937660.286 * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 1546937660.286 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937660.286 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.286 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937660.286 * [misc]backup-simplify: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 1546937660.286 * [misc]backup-simplify: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 1546937660.286 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 1546937660.286 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 1546937660.286 * [misc]backup-simplify: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 1546937660.287 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937660.287 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 1546937660.287 * [misc]backup-simplify: Simplify (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 1546937660.287 * [misc]taylor: Taking taylor expansion of (- (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 1546937660.287 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 1546937660.287 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937660.287 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937660.287 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937660.287 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937660.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.287 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.287 * [misc]backup-simplify: Simplify 0 into 0 1546937660.287 * [misc]backup-simplify: Simplify 1 into 1 1546937660.287 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937660.287 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937660.287 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.287 * [misc]backup-simplify: Simplify 0 into 0 1546937660.287 * [misc]backup-simplify: Simplify 1 into 1 1546937660.287 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937660.287 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.288 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.288 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937660.288 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1546937660.288 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.288 * [misc]backup-simplify: Simplify 0 into 0 1546937660.288 * [misc]backup-simplify: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 1546937660.288 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937660.288 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937660.288 * [misc]backup-simplify: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937660.289 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi1))) into 0 1546937660.289 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937660.289 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937660.289 * [misc]backup-simplify: Simplify (+ (* phi1 0) (+ (* 0 0) (* 0 phi2))) into 0 1546937660.289 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* phi1 phi2)))) into 0 1546937660.289 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.289 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 0) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937660.290 * [misc]backup-simplify: Simplify (/ (- (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow 0 2) (+)) (* 2 (sqrt (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) into (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) 1546937660.290 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))))) in phi1 1546937660.290 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937660.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.290 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))))) in phi1 1546937660.290 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937660.290 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937660.290 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937660.290 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937660.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.290 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937660.290 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.290 * [misc]backup-simplify: Simplify 0 into 0 1546937660.290 * [misc]backup-simplify: Simplify 1 into 1 1546937660.290 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.290 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.290 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937660.290 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937660.290 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937660.290 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937660.291 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937660.291 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937660.291 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.291 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937660.291 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))))) in phi1 1546937660.291 * [misc]taylor: Taking taylor expansion of (/ 1 (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2)))) in phi1 1546937660.291 * [misc]taylor: Taking taylor expansion of (- (+ (pow phi2 2) (pow phi1 2)) (* 2 (* phi1 phi2))) in phi1 1546937660.291 * [misc]taylor: Taking taylor expansion of (+ (pow phi2 2) (pow phi1 2)) in phi1 1546937660.291 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937660.291 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.291 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.291 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937660.291 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.291 * [misc]backup-simplify: Simplify 0 into 0 1546937660.291 * [misc]backup-simplify: Simplify 1 into 1 1546937660.291 * [misc]taylor: Taking taylor expansion of (* 2 (* phi1 phi2)) in phi1 1546937660.291 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937660.291 * [misc]backup-simplify: Simplify 2 into 2 1546937660.291 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937660.291 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.291 * [misc]backup-simplify: Simplify 0 into 0 1546937660.291 * [misc]backup-simplify: Simplify 1 into 1 1546937660.291 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.291 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.291 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.291 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1546937660.291 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937660.291 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546937660.291 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.292 * [misc]backup-simplify: Simplify (+ (pow phi2 2) 0) into (pow phi2 2) 1546937660.292 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937660.292 * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow phi2 2))) into (/ 1 phi2) 1546937660.292 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937660.292 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.292 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937660.292 * [misc]backup-simplify: Simplify (+ (* 2 phi2) (* 0 0)) into (* 2 phi2) 1546937660.292 * [misc]backup-simplify: Simplify (- (* 2 phi2)) into (- (* 2 phi2)) 1546937660.292 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 phi2))) into (- (* 2 phi2)) 1546937660.292 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ (- (* 2 phi2)) (pow phi2 2))))) into (* 2 (/ 1 (pow phi2 3))) 1546937660.292 * [misc]backup-simplify: Simplify (/ (* 2 (/ 1 (pow phi2 3))) (* 2 (sqrt (/ 1 (pow phi2 2))))) into (/ 1 (pow phi2 2)) 1546937660.292 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937660.293 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 phi2)) 2) (/ 1 phi2)) into (/ (pow (cos (* 1/2 phi2)) 2) phi2) 1546937660.293 * [misc]backup-simplify: Simplify (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) into (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) 1546937660.293 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow (cos (* 1/2 phi2)) 2) phi2)) in phi2 1546937660.293 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937660.293 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.293 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 phi2)) 2) phi2) in phi2 1546937660.293 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937660.293 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937660.293 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937660.293 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937660.293 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.293 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.293 * [misc]backup-simplify: Simplify 0 into 0 1546937660.293 * [misc]backup-simplify: Simplify 1 into 1 1546937660.293 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937660.293 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937660.293 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.293 * [misc]backup-simplify: Simplify 0 into 0 1546937660.293 * [misc]backup-simplify: Simplify 1 into 1 1546937660.293 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937660.293 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.293 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.294 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937660.294 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1546937660.294 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1546937660.294 * [misc]backup-simplify: Simplify 0 into 0 1546937660.294 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937660.294 * [misc]backup-simplify: Simplify 0 into 0 1546937660.294 * [misc]backup-simplify: Simplify 0 into 0 1546937660.294 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937660.294 * [misc]backup-simplify: Simplify 0 into 0 1546937660.294 * [misc]backup-simplify: Simplify 0 into 0 1546937660.294 * [misc]backup-simplify: Simplify (+ (* phi2 0) (+ (* 0 0) (* 0 phi2))) into 0 1546937660.294 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937660.294 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.295 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 phi2))) into 0 1546937660.295 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 phi2) (* 0 0))) into 0 1546937660.295 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.295 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.296 * [misc]backup-simplify: Simplify (/ (- 1 (pow -1 2) (+)) (* 2 phi2)) into 0 1546937660.296 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937660.296 * [misc]backup-simplify: Simplify 0 into 0 1546937660.296 * [misc]backup-simplify: Simplify 0 into 0 1546937660.296 * [misc]backup-simplify: Simplify (+ (* 1 (* phi2 (* 1 (* 1 1)))) (* -1 (* 1 (* phi1 (* 1 1))))) into (- phi2 phi1) 1546937660.297 * [misc]backup-simplify: Simplify (sqrt (+ (* (* (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2)))))) (* (- (/ 1 phi1) (/ 1 phi2)) (- (/ 1 phi1) (/ 1 phi2))))) into (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) 1546937660.297 * [misc]approximate: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in (lambda1 lambda2 phi1 phi2) around 0 1546937660.297 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi2 1546937660.297 * [misc]taylor: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi2 1546937660.297 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi2 1546937660.297 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 1546937660.297 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937660.297 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937660.297 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937660.297 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937660.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.297 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937660.297 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937660.297 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937660.297 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.298 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.298 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937660.298 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.298 * [misc]backup-simplify: Simplify 0 into 0 1546937660.298 * [misc]backup-simplify: Simplify 1 into 1 1546937660.298 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.298 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.298 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937660.298 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.298 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in phi2 1546937660.298 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937660.298 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937660.298 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.298 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937660.299 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937660.299 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi2 1546937660.299 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 1546937660.299 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi2 1546937660.299 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937660.299 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.299 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937660.299 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937660.299 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi2 1546937660.299 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 1546937660.299 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937660.299 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937660.299 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937660.299 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937660.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.299 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937660.299 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937660.299 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937660.299 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.299 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.299 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937660.299 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.299 * [misc]backup-simplify: Simplify 0 into 0 1546937660.299 * [misc]backup-simplify: Simplify 1 into 1 1546937660.299 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.299 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.299 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937660.299 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.299 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in phi2 1546937660.299 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937660.299 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937660.300 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.300 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937660.300 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1546937660.300 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 1546937660.300 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi2 1546937660.300 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.300 * [misc]backup-simplify: Simplify 0 into 0 1546937660.300 * [misc]backup-simplify: Simplify 1 into 1 1546937660.300 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937660.300 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.300 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi2 1546937660.300 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 1546937660.300 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937660.300 * [misc]backup-simplify: Simplify 2 into 2 1546937660.300 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 1546937660.300 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi2 1546937660.300 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937660.300 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.300 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.300 * [misc]backup-simplify: Simplify 0 into 0 1546937660.300 * [misc]backup-simplify: Simplify 1 into 1 1546937660.300 * [misc]backup-simplify: Simplify (* phi1 0) into 0 1546937660.300 * [misc]backup-simplify: Simplify (+ (* phi1 1) (* 0 0)) into phi1 1546937660.301 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.301 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi2 1546937660.301 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937660.301 * [misc]backup-simplify: Simplify 2 into 2 1546937660.301 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi2 1546937660.301 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937660.301 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937660.301 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937660.301 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937660.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.301 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937660.301 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937660.301 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937660.301 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.301 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.301 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937660.301 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.301 * [misc]backup-simplify: Simplify 0 into 0 1546937660.301 * [misc]backup-simplify: Simplify 1 into 1 1546937660.301 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.301 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.301 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937660.301 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.301 * [misc]taylor: Taking taylor expansion of (* lambda2 lambda1) in phi2 1546937660.301 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937660.301 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937660.301 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937660.301 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937660.301 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.302 * [misc]backup-simplify: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 1546937660.302 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 1546937660.302 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.302 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.302 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.302 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.302 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1546937660.302 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937660.303 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937660.303 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.303 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.303 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.303 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1) 1546937660.303 * [misc]backup-simplify: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1)) 1546937660.303 * [misc]backup-simplify: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1))) 1546937660.303 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) 1546937660.303 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) 1546937660.303 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in phi1 1546937660.303 * [misc]taylor: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in phi1 1546937660.303 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in phi1 1546937660.303 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 1546937660.303 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937660.303 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937660.303 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937660.303 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937660.303 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.303 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937660.303 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937660.303 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.303 * [misc]backup-simplify: Simplify 0 into 0 1546937660.304 * [misc]backup-simplify: Simplify 1 into 1 1546937660.304 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.304 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937660.304 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.304 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.304 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.304 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.304 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937660.304 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.304 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in phi1 1546937660.304 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937660.304 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937660.304 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.304 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937660.304 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937660.304 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in phi1 1546937660.304 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1546937660.304 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937660.304 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.304 * [misc]backup-simplify: Simplify 0 into 0 1546937660.305 * [misc]backup-simplify: Simplify 1 into 1 1546937660.305 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937660.305 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.305 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in phi1 1546937660.305 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 1546937660.305 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937660.305 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937660.305 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937660.305 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937660.305 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.305 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937660.305 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937660.305 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.305 * [misc]backup-simplify: Simplify 0 into 0 1546937660.305 * [misc]backup-simplify: Simplify 1 into 1 1546937660.305 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.305 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937660.305 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.305 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.305 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.305 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.305 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937660.305 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.305 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in phi1 1546937660.305 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937660.305 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937660.306 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.306 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937660.306 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1546937660.306 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1546937660.306 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937660.306 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.306 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.306 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.306 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937660.306 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in phi1 1546937660.306 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1546937660.306 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937660.306 * [misc]backup-simplify: Simplify 2 into 2 1546937660.306 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1546937660.306 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937660.306 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.306 * [misc]backup-simplify: Simplify 0 into 0 1546937660.306 * [misc]backup-simplify: Simplify 1 into 1 1546937660.306 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.306 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.306 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937660.306 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937660.306 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.306 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in phi1 1546937660.306 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937660.306 * [misc]backup-simplify: Simplify 2 into 2 1546937660.306 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in phi1 1546937660.306 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937660.307 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937660.307 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937660.307 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937660.307 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.307 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937660.307 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937660.307 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.307 * [misc]backup-simplify: Simplify 0 into 0 1546937660.307 * [misc]backup-simplify: Simplify 1 into 1 1546937660.307 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.307 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937660.307 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.307 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.307 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.307 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.307 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937660.307 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.307 * [misc]taylor: Taking taylor expansion of (* lambda2 lambda1) in phi1 1546937660.307 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937660.307 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937660.307 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937660.307 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937660.308 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.308 * [misc]backup-simplify: Simplify (* lambda2 lambda1) into (* lambda2 lambda1) 1546937660.308 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) 1546937660.308 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.308 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.308 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.308 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1546937660.308 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937660.308 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937660.309 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.309 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.309 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1546937660.309 * [misc]backup-simplify: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2)) 1546937660.309 * [misc]backup-simplify: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2))) 1546937660.309 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1546937660.309 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) 1546937660.309 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda2 1546937660.309 * [misc]taylor: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda2 1546937660.309 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda2 1546937660.309 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 1546937660.309 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937660.309 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937660.309 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937660.309 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937660.309 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.309 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937660.309 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937660.309 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.309 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.309 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.309 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937660.309 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.310 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.310 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.310 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937660.310 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937660.310 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.310 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.310 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.310 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937660.310 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.310 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.310 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937660.310 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937660.310 * [misc]backup-simplify: Simplify 0 into 0 1546937660.310 * [misc]backup-simplify: Simplify 1 into 1 1546937660.310 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.311 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937660.311 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.311 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda2 1546937660.311 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 1546937660.311 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937660.311 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.311 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.311 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937660.311 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937660.311 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda2 1546937660.311 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 1546937660.311 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937660.311 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937660.311 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937660.311 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937660.311 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.311 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937660.311 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937660.311 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.311 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.311 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.311 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937660.311 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.311 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.311 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.311 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937660.312 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937660.312 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.312 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.312 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.312 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937660.312 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.312 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.312 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in lambda2 1546937660.312 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937660.312 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937660.312 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.312 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937660.312 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1546937660.312 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 1546937660.312 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937660.312 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.313 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.313 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.313 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937660.313 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda2 1546937660.313 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 1546937660.313 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937660.313 * [misc]backup-simplify: Simplify 2 into 2 1546937660.313 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 1546937660.313 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937660.313 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.313 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.313 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.313 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.313 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937660.313 * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1546937660.313 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda2 1546937660.313 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937660.313 * [misc]backup-simplify: Simplify 2 into 2 1546937660.313 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda2 1546937660.313 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937660.313 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937660.313 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937660.313 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937660.313 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.313 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937660.313 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937660.313 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.313 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.313 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.313 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937660.313 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.313 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.313 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.313 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937660.313 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937660.313 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.313 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.314 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.314 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937660.314 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.314 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.314 * [misc]taylor: Taking taylor expansion of (* lambda2 lambda1) in lambda2 1546937660.314 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937660.314 * [misc]backup-simplify: Simplify 0 into 0 1546937660.314 * [misc]backup-simplify: Simplify 1 into 1 1546937660.314 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937660.314 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937660.314 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.314 * [misc]backup-simplify: Simplify (* 0 lambda1) into 0 1546937660.314 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 lambda1)) into lambda1 1546937660.314 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 1546937660.315 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.315 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.315 * [misc]backup-simplify: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.315 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.315 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937660.315 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937660.315 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937660.315 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.316 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937660.316 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937660.316 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937660.317 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.317 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.317 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937660.317 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937660.317 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1546937660.317 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.318 * [misc]backup-simplify: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 1546937660.318 * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 1546937660.318 * [misc]backup-simplify: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 1546937660.318 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 1546937660.318 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) 1546937660.318 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 1546937660.318 * [misc]taylor: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 1546937660.319 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 1546937660.319 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 1546937660.319 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937660.319 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937660.319 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937660.319 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937660.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.319 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937660.319 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937660.319 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937660.319 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.319 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.319 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937660.319 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937660.319 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.319 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.319 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937660.319 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937660.319 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.319 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.319 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.319 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937660.319 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.320 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.320 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda1 1546937660.320 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937660.320 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937660.320 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.320 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937660.320 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937660.320 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 1546937660.320 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 1546937660.320 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda1 1546937660.320 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937660.320 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.320 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937660.320 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937660.320 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 1546937660.320 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 1546937660.320 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937660.320 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937660.320 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937660.320 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937660.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.320 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937660.320 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937660.320 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937660.320 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.320 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.320 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937660.320 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937660.320 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.320 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.320 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937660.320 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937660.321 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.321 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.321 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.321 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937660.321 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.321 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.321 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in lambda1 1546937660.321 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937660.321 * [misc]backup-simplify: Simplify 0 into 0 1546937660.321 * [misc]backup-simplify: Simplify 1 into 1 1546937660.321 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.862 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937660.862 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.862 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 1546937660.862 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda1 1546937660.862 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937660.862 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.862 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.862 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937660.862 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 1546937660.862 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 1546937660.863 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937660.863 * [misc]backup-simplify: Simplify 2 into 2 1546937660.863 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 1546937660.863 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda1 1546937660.863 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937660.863 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.863 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937660.863 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.863 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937660.863 * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1546937660.863 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 1546937660.863 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937660.863 * [misc]backup-simplify: Simplify 2 into 2 1546937660.863 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 1546937660.863 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937660.863 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937660.863 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937660.863 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937660.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.863 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937660.863 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937660.863 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937660.863 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.863 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.863 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937660.863 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937660.863 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.863 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.863 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937660.863 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937660.863 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.863 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.863 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.864 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937660.864 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.864 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.864 * [misc]taylor: Taking taylor expansion of (* lambda2 lambda1) in lambda1 1546937660.864 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937660.864 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937660.864 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937660.864 * [misc]backup-simplify: Simplify 0 into 0 1546937660.864 * [misc]backup-simplify: Simplify 1 into 1 1546937660.864 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.864 * [misc]backup-simplify: Simplify (* lambda2 0) into 0 1546937660.864 * [misc]backup-simplify: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 1546937660.864 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 1546937660.864 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.865 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.865 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.865 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.865 * [misc]backup-simplify: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.865 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.865 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937660.865 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937660.865 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937660.866 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.866 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937660.867 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937660.867 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937660.867 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.867 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.867 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937660.867 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937660.868 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1546937660.868 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.868 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.868 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.868 * [misc]backup-simplify: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1546937660.869 * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1546937660.869 * [misc]backup-simplify: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937660.870 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937660.870 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 1546937660.870 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))))) in lambda1 1546937660.870 * [misc]taylor: Taking taylor expansion of (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))))) in lambda1 1546937660.870 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))))) in lambda1 1546937660.870 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 1546937660.870 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937660.870 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937660.870 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937660.870 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937660.870 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.870 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937660.870 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937660.870 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937660.870 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.871 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.871 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937660.871 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937660.871 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.871 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.871 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937660.871 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937660.871 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.871 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.871 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.871 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937660.872 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.872 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.872 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda1 1546937660.872 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937660.872 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937660.872 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.872 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937660.872 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937660.872 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2)))) in lambda1 1546937660.873 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 1546937660.873 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda1 1546937660.873 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937660.873 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.873 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937660.873 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937660.873 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ 1 (pow phi2 2))) in lambda1 1546937660.873 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 1546937660.873 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937660.873 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937660.873 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937660.873 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937660.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.873 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937660.873 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937660.873 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937660.873 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.873 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.873 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937660.873 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937660.873 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.873 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.873 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937660.874 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937660.874 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.874 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.874 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.874 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937660.874 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.875 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.875 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in lambda1 1546937660.875 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937660.875 * [misc]backup-simplify: Simplify 0 into 0 1546937660.875 * [misc]backup-simplify: Simplify 1 into 1 1546937660.875 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.875 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937660.875 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.875 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 1546937660.875 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda1 1546937660.876 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937660.876 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.876 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.876 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937660.876 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)))) in lambda1 1546937660.876 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 1546937660.876 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937660.876 * [misc]backup-simplify: Simplify 2 into 2 1546937660.876 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 1546937660.876 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda1 1546937660.876 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937660.876 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.876 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937660.876 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.876 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937660.876 * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1546937660.876 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1))) in lambda1 1546937660.876 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937660.876 * [misc]backup-simplify: Simplify 2 into 2 1546937660.876 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) in lambda1 1546937660.876 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937660.876 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937660.876 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937660.876 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937660.876 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.877 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937660.877 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937660.877 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937660.877 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.877 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.877 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937660.877 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937660.877 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.877 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.877 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937660.877 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937660.877 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.877 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.877 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.878 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937660.878 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.878 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.878 * [misc]taylor: Taking taylor expansion of (* lambda2 lambda1) in lambda1 1546937660.878 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937660.878 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937660.878 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937660.878 * [misc]backup-simplify: Simplify 0 into 0 1546937660.878 * [misc]backup-simplify: Simplify 1 into 1 1546937660.878 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.878 * [misc]backup-simplify: Simplify (* lambda2 0) into 0 1546937660.879 * [misc]backup-simplify: Simplify (+ (* lambda2 1) (* 0 0)) into lambda2 1546937660.879 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 1546937660.879 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.879 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.880 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.880 * [misc]backup-simplify: Simplify (+ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.880 * [misc]backup-simplify: Simplify (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.880 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.880 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937660.881 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937660.881 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937660.881 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.881 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937660.882 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937660.883 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937660.883 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.883 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.883 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937660.883 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937660.884 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1546937660.884 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.884 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.884 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.885 * [misc]backup-simplify: Simplify (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1546937660.885 * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1546937660.885 * [misc]backup-simplify: Simplify (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937660.886 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937660.886 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 1546937660.886 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937660.886 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937660.886 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937660.886 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.886 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937660.886 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937660.886 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.886 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.886 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.887 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937660.887 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.887 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.887 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.887 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937660.887 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937660.887 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.887 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.887 * [misc]taylor: Taking taylor expansion of (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2 1546937660.887 * [misc]taylor: Taking taylor expansion of -1 in lambda2 1546937660.887 * [misc]backup-simplify: Simplify -1 into -1 1546937660.887 * [misc]taylor: Taking taylor expansion of (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2 1546937660.887 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937660.887 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937660.887 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937660.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.887 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937660.887 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937660.888 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.888 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.888 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.888 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937660.888 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.888 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.888 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.888 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937660.888 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937660.888 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.888 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.888 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937660.888 * [misc]backup-simplify: Simplify 0 into 0 1546937660.888 * [misc]backup-simplify: Simplify 1 into 1 1546937660.889 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.889 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937660.889 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.889 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.889 * [misc]backup-simplify: Simplify (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.889 * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937660.890 * [misc]taylor: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1546937660.890 * [misc]taylor: Taking taylor expansion of -1 in phi1 1546937660.890 * [misc]backup-simplify: Simplify -1 into -1 1546937660.890 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937660.890 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937660.890 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937660.890 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.890 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937660.890 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937660.890 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.890 * [misc]backup-simplify: Simplify 0 into 0 1546937660.890 * [misc]backup-simplify: Simplify 1 into 1 1546937660.890 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.890 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937660.890 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.890 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.890 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.890 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.891 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937660.891 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.891 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.891 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937660.891 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.891 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.891 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937660.891 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937660.891 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937660.891 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.891 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937660.892 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937660.892 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.892 * [misc]backup-simplify: Simplify 0 into 0 1546937660.892 * [misc]backup-simplify: Simplify 1 into 1 1546937660.892 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.892 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937660.892 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.892 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.892 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.892 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.892 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937660.892 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.894 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937660.894 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937660.894 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937660.894 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937660.895 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.895 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937660.896 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937660.896 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937660.896 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.897 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.897 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937660.897 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1546937660.898 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937660.898 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow phi2 2))) into (/ 1 (pow phi2 2)) 1546937660.898 * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi1 2)) (/ 1 (pow phi2 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1546937660.899 * [misc]backup-simplify: Simplify (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) into (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) 1546937660.899 * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1546937660.899 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.899 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937660.899 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937660.900 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937660.900 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.900 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937660.901 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937660.901 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937660.902 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.902 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.902 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937660.902 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (+ (* 0 1) (* 0 0))) into 0 1546937660.903 * [misc]backup-simplify: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 1546937660.903 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 1546937660.903 * [misc]backup-simplify: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 1546937660.903 * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1546937660.904 * [misc]backup-simplify: Simplify (+ (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) 1546937660.905 * [misc]backup-simplify: Simplify (/ (- (- (+ (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937660.905 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 1546937660.905 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937660.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.905 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 1546937660.905 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 1546937660.905 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2 1546937660.905 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 1546937660.905 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937660.905 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.905 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.906 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.906 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937660.906 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 1546937660.906 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937660.906 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.906 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.906 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937660.906 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937660.906 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 1546937660.906 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937660.906 * [misc]backup-simplify: Simplify 2 into 2 1546937660.906 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 1546937660.906 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937660.906 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.906 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.906 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.906 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.906 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937660.906 * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1546937660.906 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937660.906 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937660.906 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937660.906 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.906 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937660.906 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937660.906 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.906 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.907 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.907 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937660.907 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.907 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.907 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.907 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937660.907 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937660.907 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.907 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.907 * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1546937660.907 * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1546937660.907 * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1546937660.908 * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 1546937660.908 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.908 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937660.908 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.909 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.909 * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937660.909 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.910 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937660.910 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937660.910 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937660.910 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.910 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937660.911 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937660.912 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937660.912 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.912 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.912 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0 1546937660.913 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937660.913 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937660.913 * [misc]backup-simplify: Simplify 0 into 0 1546937660.913 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.913 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937660.913 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937660.914 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937660.914 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.914 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937660.915 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937660.916 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937660.916 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.916 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.916 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937660.916 * [misc]backup-simplify: Simplify 0 into 0 1546937660.916 * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937660.916 * [misc]taylor: Taking taylor expansion of (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2 1546937660.916 * [misc]taylor: Taking taylor expansion of -1 in phi2 1546937660.916 * [misc]backup-simplify: Simplify -1 into -1 1546937660.916 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937660.916 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937660.916 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937660.916 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.916 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937660.916 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937660.916 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937660.916 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.917 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.917 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937660.917 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.917 * [misc]backup-simplify: Simplify 0 into 0 1546937660.917 * [misc]backup-simplify: Simplify 1 into 1 1546937660.917 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.917 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.917 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937660.917 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.917 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937660.917 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937660.917 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937660.917 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.917 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937660.917 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937660.917 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937660.917 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.918 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.918 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937660.918 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.918 * [misc]backup-simplify: Simplify 0 into 0 1546937660.918 * [misc]backup-simplify: Simplify 1 into 1 1546937660.918 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.918 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.918 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937660.918 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.919 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937660.919 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937660.919 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937660.919 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937660.919 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.920 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937660.921 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937660.921 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937660.921 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.921 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.922 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937660.922 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1546937660.922 * [misc]backup-simplify: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0 1546937660.922 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937660.922 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 1546937660.924 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1546937660.924 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1546937660.925 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937660.925 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937660.925 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.925 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937660.927 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937660.928 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1546937660.928 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.928 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.929 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0 1546937660.929 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1546937660.930 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937660.930 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937660.930 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 1546937660.930 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.930 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.931 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.931 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1546937660.931 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 1546937660.931 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 1546937660.932 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937660.933 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937660.933 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937660.933 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937660.933 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.933 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937660.934 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937660.935 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937660.935 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.935 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.936 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937660.936 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546937660.936 * [misc]backup-simplify: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1546937660.937 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0 1546937660.937 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.937 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.937 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.939 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937660.939 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 1546937660.939 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937660.939 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.939 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 1546937660.939 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2 1546937660.939 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2 1546937660.939 * [misc]taylor: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2 1546937660.939 * [misc]taylor: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2 1546937660.939 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937660.939 * [misc]backup-simplify: Simplify 0 into 0 1546937660.939 * [misc]backup-simplify: Simplify 1 into 1 1546937660.939 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937660.939 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.939 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.939 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.939 * [misc]backup-simplify: Simplify (* 0 (pow phi2 2)) into 0 1546937660.939 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937660.940 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2) 1546937660.940 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937660.940 * [misc]taylor: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2 1546937660.940 * [misc]taylor: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2 1546937660.940 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937660.940 * [misc]backup-simplify: Simplify 0 into 0 1546937660.940 * [misc]backup-simplify: Simplify 1 into 1 1546937660.940 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937660.940 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.940 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.940 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937660.940 * [misc]backup-simplify: Simplify (* 0 (pow phi1 2)) into 0 1546937660.940 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937660.940 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2) 1546937660.941 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937660.941 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2 1546937660.941 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937660.941 * [misc]backup-simplify: Simplify 2 into 2 1546937660.941 * [misc]taylor: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2 1546937660.941 * [misc]taylor: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2 1546937660.941 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937660.941 * [misc]backup-simplify: Simplify 0 into 0 1546937660.941 * [misc]backup-simplify: Simplify 1 into 1 1546937660.941 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937660.941 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.941 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.941 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.941 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.941 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937660.941 * [misc]backup-simplify: Simplify (* 0 (* phi1 phi2)) into 0 1546937660.941 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1546937660.941 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2) 1546937660.941 * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1546937660.941 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937660.942 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937660.942 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937660.942 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.942 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937660.942 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937660.942 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.942 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.942 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.942 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937660.942 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.942 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.942 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.942 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937660.942 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937660.942 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.942 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.943 * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1546937660.943 * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1546937660.943 * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1546937660.943 * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 1546937660.943 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.944 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937660.944 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.944 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.944 * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937660.945 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937660.945 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 1546937660.945 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937660.945 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.945 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1546937660.945 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 1546937660.945 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 1546937660.945 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1546937660.945 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937660.945 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.945 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.945 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.945 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937660.945 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1546937660.945 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937660.945 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.945 * [misc]backup-simplify: Simplify 0 into 0 1546937660.945 * [misc]backup-simplify: Simplify 1 into 1 1546937660.946 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937660.946 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.946 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1546937660.946 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937660.946 * [misc]backup-simplify: Simplify 2 into 2 1546937660.946 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1546937660.946 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937660.946 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.946 * [misc]backup-simplify: Simplify 0 into 0 1546937660.946 * [misc]backup-simplify: Simplify 1 into 1 1546937660.946 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.946 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.946 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937660.946 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937660.946 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.946 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937660.946 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937660.947 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937660.947 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.947 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937660.947 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937660.947 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.947 * [misc]backup-simplify: Simplify 0 into 0 1546937660.947 * [misc]backup-simplify: Simplify 1 into 1 1546937660.947 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.947 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937660.947 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.947 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.947 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.947 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.947 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937660.947 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.948 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.948 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.948 * [misc]backup-simplify: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937660.948 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937660.948 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937660.949 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.949 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1546937660.949 * [misc]backup-simplify: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 1546937660.949 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1546937660.949 * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 1546937660.950 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 1546937660.950 * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 1546937660.950 * [misc]taylor: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 1546937660.950 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 1546937660.950 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937660.950 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937660.950 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937660.950 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.950 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937660.950 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937660.950 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937660.950 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.951 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.951 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937660.951 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.951 * [misc]backup-simplify: Simplify 0 into 0 1546937660.951 * [misc]backup-simplify: Simplify 1 into 1 1546937660.951 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.951 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.951 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937660.951 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.951 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.952 * [misc]backup-simplify: Simplify 0 into 0 1546937660.952 * [misc]backup-simplify: Simplify 1 into 1 1546937660.952 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937660.952 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.952 * [misc]backup-simplify: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937660.952 * [misc]backup-simplify: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937660.953 * [misc]backup-simplify: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937660.953 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937660.953 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 1546937660.953 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937660.953 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.953 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1546937660.953 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 1546937660.953 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 1546937660.954 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1546937660.954 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937660.954 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.954 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.954 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.954 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937660.954 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1546937660.954 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937660.954 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.954 * [misc]backup-simplify: Simplify 0 into 0 1546937660.954 * [misc]backup-simplify: Simplify 1 into 1 1546937660.954 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937660.954 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.954 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1546937660.954 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937660.954 * [misc]backup-simplify: Simplify 2 into 2 1546937660.954 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1546937660.954 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937660.954 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.954 * [misc]backup-simplify: Simplify 0 into 0 1546937660.954 * [misc]backup-simplify: Simplify 1 into 1 1546937660.954 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.955 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.955 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937660.955 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937660.955 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.955 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937660.955 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937660.955 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937660.955 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.955 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937660.955 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937660.955 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.955 * [misc]backup-simplify: Simplify 0 into 0 1546937660.955 * [misc]backup-simplify: Simplify 1 into 1 1546937660.955 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.955 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937660.955 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.955 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.955 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.956 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.956 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937660.956 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.956 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.956 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.956 * [misc]backup-simplify: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937660.957 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937660.957 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937660.957 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.957 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1546937660.957 * [misc]backup-simplify: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 1546937660.957 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1546937660.958 * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 1546937660.958 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 1546937660.958 * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 1546937660.958 * [misc]taylor: Taking taylor expansion of (/ 1 (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 1546937660.958 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 1546937660.958 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937660.958 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937660.959 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937660.959 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937660.959 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937660.959 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937660.959 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937660.959 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.959 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.959 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937660.959 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.959 * [misc]backup-simplify: Simplify 0 into 0 1546937660.959 * [misc]backup-simplify: Simplify 1 into 1 1546937660.959 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.959 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.959 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937660.959 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.959 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.960 * [misc]backup-simplify: Simplify 0 into 0 1546937660.960 * [misc]backup-simplify: Simplify 1 into 1 1546937660.960 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937660.960 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.960 * [misc]backup-simplify: Simplify (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937660.960 * [misc]backup-simplify: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937660.961 * [misc]backup-simplify: Simplify (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937660.962 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937660.962 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937660.962 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937660.963 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937660.963 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.963 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937660.964 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937660.965 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937660.965 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.965 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.965 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937660.966 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937660.966 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937660.966 * [misc]backup-simplify: Simplify 0 into 0 1546937660.968 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937660.968 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937660.968 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937660.968 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937660.968 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.969 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937660.970 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937660.970 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937660.970 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.971 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.971 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937660.971 * [misc]backup-simplify: Simplify 0 into 0 1546937660.971 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937660.971 * [misc]backup-simplify: Simplify 0 into 0 1546937660.971 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937660.971 * [misc]backup-simplify: Simplify 0 into 0 1546937660.971 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937660.971 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937660.971 * [misc]backup-simplify: Simplify 0 into 0 1546937660.971 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937660.971 * [misc]backup-simplify: Simplify 0 into 0 1546937660.971 * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937660.972 * [misc]backup-simplify: Simplify (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937660.973 * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2)))))) (* 1 (* 1 (* (/ 1 (/ 1 lambda2)) 1)))) (+ (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* 1 (/ 1 lambda1))))) (* (- (/ 1 (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))))) (* (/ 1 (/ 1 phi2)) (* (/ 1 (/ 1 phi1)) (* (/ 1 (/ 1 lambda2)) (pow (/ 1 lambda1) 2))))))) into (- (+ (/ (* lambda2 (* phi1 phi2)) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))) (+ (/ (* phi1 phi2) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (* lambda2 (cos (* 1/2 (+ phi1 phi2))))))) 1546937660.976 * [misc]backup-simplify: Simplify (sqrt (+ (* (* (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2)))))) (* (- (/ 1 (- phi1)) (/ 1 (- phi2))) (- (/ 1 (- phi1)) (/ 1 (- phi2)))))) into (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) 1546937660.976 * [misc]approximate: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in (lambda1 lambda2 phi1 phi2) around 0 1546937660.976 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi2 1546937660.976 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi2 1546937660.976 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi2 1546937660.976 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi2 1546937660.976 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi2 1546937660.976 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.976 * [misc]backup-simplify: Simplify 0 into 0 1546937660.976 * [misc]backup-simplify: Simplify 1 into 1 1546937660.977 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937660.977 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.977 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi2 1546937660.977 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi2 1546937660.977 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi2 1546937660.977 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937660.977 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.977 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937660.977 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937660.977 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi2 1546937660.977 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi2 1546937660.977 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937660.977 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937660.977 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937660.977 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937660.977 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937660.977 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937660.977 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937660.977 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937660.977 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.978 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.978 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937660.978 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.978 * [misc]backup-simplify: Simplify 0 into 0 1546937660.978 * [misc]backup-simplify: Simplify 1 into 1 1546937660.978 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.978 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.978 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937660.978 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.978 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in phi2 1546937660.978 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937660.978 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937660.979 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.979 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937660.979 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1546937660.979 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi2 1546937660.979 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937660.979 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937660.979 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937660.979 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937660.979 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937660.979 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937660.979 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937660.979 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937660.979 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.979 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.979 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937660.979 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.979 * [misc]backup-simplify: Simplify 0 into 0 1546937660.979 * [misc]backup-simplify: Simplify 1 into 1 1546937660.980 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.980 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.980 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937660.980 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.980 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in phi2 1546937660.980 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937660.980 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937660.980 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.981 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937660.981 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937660.981 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi2 1546937660.981 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi2 1546937660.981 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937660.981 * [misc]backup-simplify: Simplify 2 into 2 1546937660.981 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi2 1546937660.981 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi2 1546937660.981 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937660.981 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.981 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.981 * [misc]backup-simplify: Simplify 0 into 0 1546937660.981 * [misc]backup-simplify: Simplify 1 into 1 1546937660.981 * [misc]backup-simplify: Simplify (* phi1 0) into 0 1546937660.981 * [misc]backup-simplify: Simplify (+ (* phi1 1) (* 0 0)) into phi1 1546937660.981 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.981 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi2 1546937660.981 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937660.982 * [misc]backup-simplify: Simplify 2 into 2 1546937660.982 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi2 1546937660.982 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937660.982 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937660.982 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937660.982 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937660.982 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937660.982 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937660.982 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937660.982 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937660.982 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.982 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.982 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937660.982 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937660.982 * [misc]backup-simplify: Simplify 0 into 0 1546937660.982 * [misc]backup-simplify: Simplify 1 into 1 1546937660.982 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.982 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.982 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937660.983 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.983 * [misc]taylor: Taking taylor expansion of (* lambda1 lambda2) in phi2 1546937660.983 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937660.983 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937660.983 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937660.983 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937660.983 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.983 * [misc]backup-simplify: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 1546937660.983 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 1546937660.984 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.984 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.984 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1546937660.984 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937660.984 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937660.985 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.985 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi1)) into (/ 2 phi1) 1546937660.985 * [misc]backup-simplify: Simplify (+ (/ 2 phi1) 0) into (* 2 (/ 1 phi1)) 1546937660.985 * [misc]backup-simplify: Simplify (- (* 2 (/ 1 phi1))) into (- (* 2 (/ 1 phi1))) 1546937660.985 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi1)))) into (- (* 2 (/ 1 phi1))) 1546937660.985 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 phi1))) (* 2 (sqrt 1))) into (/ -1 phi1) 1546937660.985 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in phi1 1546937660.985 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in phi1 1546937660.985 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in phi1 1546937660.985 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1546937660.985 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937660.985 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.986 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.986 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.986 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937660.986 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in phi1 1546937660.986 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1546937660.986 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937660.986 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.986 * [misc]backup-simplify: Simplify 0 into 0 1546937660.986 * [misc]backup-simplify: Simplify 1 into 1 1546937660.986 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937660.986 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.986 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in phi1 1546937660.986 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in phi1 1546937660.986 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937660.986 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937660.986 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937660.986 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937660.986 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937660.986 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937660.987 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937660.987 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.987 * [misc]backup-simplify: Simplify 0 into 0 1546937660.987 * [misc]backup-simplify: Simplify 1 into 1 1546937660.987 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.987 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937660.987 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.987 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.987 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.987 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.987 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937660.987 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.988 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in phi1 1546937660.988 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937660.988 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937660.988 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.988 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937660.988 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1546937660.988 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in phi1 1546937660.988 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937660.988 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937660.988 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937660.988 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937660.988 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937660.988 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937660.989 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937660.989 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.989 * [misc]backup-simplify: Simplify 0 into 0 1546937660.989 * [misc]backup-simplify: Simplify 1 into 1 1546937660.989 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.989 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937660.989 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.989 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.989 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.989 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.989 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937660.989 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.989 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in phi1 1546937660.990 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937660.990 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937660.990 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.990 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937660.990 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937660.990 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in phi1 1546937660.990 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1546937660.990 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937660.990 * [misc]backup-simplify: Simplify 2 into 2 1546937660.990 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1546937660.990 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937660.990 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.990 * [misc]backup-simplify: Simplify 0 into 0 1546937660.990 * [misc]backup-simplify: Simplify 1 into 1 1546937660.990 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.991 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.991 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937660.991 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937660.991 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.991 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in phi1 1546937660.991 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937660.991 * [misc]backup-simplify: Simplify 2 into 2 1546937660.991 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in phi1 1546937660.991 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937660.991 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937660.991 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937660.991 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937660.991 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937660.991 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937660.991 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937660.991 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937660.991 * [misc]backup-simplify: Simplify 0 into 0 1546937660.991 * [misc]backup-simplify: Simplify 1 into 1 1546937660.991 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937660.991 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937660.992 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937660.992 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.992 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.992 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.992 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937660.992 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.992 * [misc]taylor: Taking taylor expansion of (* lambda1 lambda2) in phi1 1546937660.992 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937660.992 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937660.992 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937660.992 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937660.993 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.993 * [misc]backup-simplify: Simplify (* lambda1 lambda2) into (* lambda2 lambda1) 1546937660.993 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda2 lambda1)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) 1546937660.993 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.993 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937660.993 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937660.994 * [misc]backup-simplify: Simplify (sqrt 1) into 1 1546937660.994 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937660.994 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937660.994 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.994 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937660.994 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1546937660.994 * [misc]backup-simplify: Simplify (+ (/ 2 phi2) 0) into (* 2 (/ 1 phi2)) 1546937660.995 * [misc]backup-simplify: Simplify (- (* 2 (/ 1 phi2))) into (- (* 2 (/ 1 phi2))) 1546937660.995 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1546937660.995 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 phi2))) (* 2 (sqrt 1))) into (/ -1 phi2) 1546937660.995 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda2 1546937660.995 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda2 1546937660.995 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda2 1546937660.995 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 1546937660.995 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937660.995 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.995 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.995 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937660.995 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937660.996 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda2 1546937660.996 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 1546937660.996 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937660.996 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.996 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.996 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937660.996 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937660.996 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda2 1546937660.996 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda2 1546937660.996 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937660.996 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937660.996 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937660.996 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937660.996 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937660.996 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937660.996 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937660.996 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.996 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.996 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.996 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937660.996 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.996 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.996 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.996 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937660.997 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937660.997 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.997 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.997 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.997 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937660.997 * [misc]backup-simplify: Simplify (- 0) into 0 1546937660.998 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.998 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in lambda2 1546937660.998 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937660.998 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937660.998 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937660.998 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937660.998 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) 1546937660.998 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda2 1546937660.998 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937660.998 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937660.999 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937660.999 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937660.999 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937660.999 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937660.999 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937660.999 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937660.999 * [misc]backup-simplify: Simplify phi1 into phi1 1546937660.999 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937660.999 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937660.999 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937660.999 * [misc]backup-simplify: Simplify phi2 into phi2 1546937660.999 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937660.999 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937660.999 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937660.999 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937660.999 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.000 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.000 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.000 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.001 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.001 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937661.001 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.001 * [misc]backup-simplify: Simplify 0 into 0 1546937661.001 * [misc]backup-simplify: Simplify 1 into 1 1546937661.001 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.002 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.002 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.002 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda2 1546937661.002 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 1546937661.002 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.002 * [misc]backup-simplify: Simplify 2 into 2 1546937661.002 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 1546937661.002 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937661.002 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.002 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.002 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.002 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.002 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937661.002 * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1546937661.002 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda2 1546937661.002 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.002 * [misc]backup-simplify: Simplify 2 into 2 1546937661.002 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda2 1546937661.003 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.003 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.003 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.003 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937661.003 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.003 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.003 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.003 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.003 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.003 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.003 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.003 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.003 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.003 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.003 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.003 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.003 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.004 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.004 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.004 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.004 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.004 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.004 * [misc]taylor: Taking taylor expansion of (* lambda1 lambda2) in lambda2 1546937661.004 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.004 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.005 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.005 * [misc]backup-simplify: Simplify 0 into 0 1546937661.005 * [misc]backup-simplify: Simplify 1 into 1 1546937661.005 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.005 * [misc]backup-simplify: Simplify (* lambda1 0) into 0 1546937661.005 * [misc]backup-simplify: Simplify (+ (* lambda1 1) (* 0 0)) into lambda1 1546937661.005 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1) 1546937661.006 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.006 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.006 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.006 * [misc]backup-simplify: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.006 * [misc]backup-simplify: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.007 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.007 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.007 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.007 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.007 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.008 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.009 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.009 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.009 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.010 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.010 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.010 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937661.011 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1546937661.011 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.011 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.011 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.011 * [misc]backup-simplify: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 1546937661.012 * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)) 1546937661.012 * [misc]backup-simplify: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 1546937661.012 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) 1546937661.013 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda1))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda1)) 1546937661.013 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 1546937661.013 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 1546937661.013 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 1546937661.013 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 1546937661.013 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda1 1546937661.013 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.013 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.013 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937661.013 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937661.013 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 1546937661.013 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 1546937661.013 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda1 1546937661.014 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.014 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.014 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937661.014 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937661.014 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 1546937661.014 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 1546937661.014 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937661.014 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937661.014 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937661.014 * [misc]taylor: Taking taylor expansion of -1/2 in lambda1 1546937661.014 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.014 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937661.014 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937661.014 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.014 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.014 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.014 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937661.014 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.014 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.014 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.014 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.014 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.015 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.015 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.015 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.015 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.015 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.015 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.016 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in lambda1 1546937661.016 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.016 * [misc]backup-simplify: Simplify 0 into 0 1546937661.016 * [misc]backup-simplify: Simplify 1 into 1 1546937661.016 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.016 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.016 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.016 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 1546937661.016 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937661.016 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937661.016 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937661.016 * [misc]taylor: Taking taylor expansion of -1/2 in lambda1 1546937661.016 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.017 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937661.017 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937661.017 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.017 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.017 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.017 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937661.017 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.017 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.017 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.017 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.017 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.017 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.017 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.017 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.018 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.018 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.018 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.018 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda1 1546937661.018 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.018 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.018 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.018 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937661.019 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937661.019 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 1546937661.019 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 1546937661.019 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937661.019 * [misc]backup-simplify: Simplify 2 into 2 1546937661.019 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 1546937661.019 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda1 1546937661.019 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.019 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.019 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.019 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.019 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937661.019 * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1546937661.019 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 1546937661.019 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937661.019 * [misc]backup-simplify: Simplify 2 into 2 1546937661.019 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 1546937661.019 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937661.019 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937661.019 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937661.019 * [misc]taylor: Taking taylor expansion of -1/2 in lambda1 1546937661.019 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.019 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937661.019 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937661.020 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.020 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.020 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.020 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937661.020 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.020 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.020 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.020 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.020 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.020 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.022 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.022 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.022 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.022 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.023 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.023 * [misc]taylor: Taking taylor expansion of (* lambda1 lambda2) in lambda1 1546937661.023 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.023 * [misc]backup-simplify: Simplify 0 into 0 1546937661.023 * [misc]backup-simplify: Simplify 1 into 1 1546937661.023 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.023 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.023 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.023 * [misc]backup-simplify: Simplify (* 0 lambda2) into 0 1546937661.023 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 1546937661.023 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 1546937661.024 * [misc]backup-simplify: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.024 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.024 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.024 * [misc]backup-simplify: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.025 * [misc]backup-simplify: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.025 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.025 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.025 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.025 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.026 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.026 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.027 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.027 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.027 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.028 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.028 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.028 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937661.029 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1546937661.029 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.029 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.029 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.029 * [misc]backup-simplify: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1546937661.030 * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1546937661.030 * [misc]backup-simplify: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937661.030 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937661.031 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 1546937661.031 * [misc]taylor: Taking taylor expansion of (sqrt (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))))) in lambda1 1546937661.031 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))))) in lambda1 1546937661.031 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))))) in lambda1 1546937661.031 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda1 1546937661.031 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda1 1546937661.031 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.031 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.031 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937661.031 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937661.032 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi1 2)) (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) in lambda1 1546937661.032 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda1 1546937661.032 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda1 1546937661.032 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.032 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.032 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937661.032 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937661.032 * [misc]taylor: Taking taylor expansion of (+ (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) in lambda1 1546937661.032 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda1 2)) in lambda1 1546937661.032 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937661.032 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937661.032 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937661.032 * [misc]taylor: Taking taylor expansion of -1/2 in lambda1 1546937661.032 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.032 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937661.032 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937661.032 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.032 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.032 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.032 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937661.032 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.032 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.032 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.032 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.033 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.033 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.033 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.033 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.033 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.033 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.034 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.034 * [misc]taylor: Taking taylor expansion of (pow lambda1 2) in lambda1 1546937661.034 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.034 * [misc]backup-simplify: Simplify 0 into 0 1546937661.034 * [misc]backup-simplify: Simplify 1 into 1 1546937661.034 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.034 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.034 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.034 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) in lambda1 1546937661.034 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937661.035 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937661.035 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937661.035 * [misc]taylor: Taking taylor expansion of -1/2 in lambda1 1546937661.035 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.035 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937661.035 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937661.035 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.035 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.035 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.035 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937661.035 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.035 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.035 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.035 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.035 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.035 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.036 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.036 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.036 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.036 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.036 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.036 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda1 1546937661.036 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.036 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.037 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.037 * [misc]backup-simplify: Simplify (* lambda2 lambda2) into (pow lambda2 2) 1546937661.037 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937661.037 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* phi1 phi2))) (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)))) in lambda1 1546937661.037 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda1 1546937661.037 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937661.037 * [misc]backup-simplify: Simplify 2 into 2 1546937661.037 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda1 1546937661.037 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda1 1546937661.037 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.037 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.037 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.037 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.037 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937661.037 * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1546937661.037 * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2))) in lambda1 1546937661.038 * [misc]taylor: Taking taylor expansion of 2 in lambda1 1546937661.038 * [misc]backup-simplify: Simplify 2 into 2 1546937661.038 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (* lambda1 lambda2)) in lambda1 1546937661.038 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937661.038 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937661.038 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937661.038 * [misc]taylor: Taking taylor expansion of -1/2 in lambda1 1546937661.038 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.038 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937661.038 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937661.038 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.038 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.038 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.038 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937661.038 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.038 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.038 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.038 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.038 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.038 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.039 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.039 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.039 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.039 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.039 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.039 * [misc]taylor: Taking taylor expansion of (* lambda1 lambda2) in lambda1 1546937661.039 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.040 * [misc]backup-simplify: Simplify 0 into 0 1546937661.040 * [misc]backup-simplify: Simplify 1 into 1 1546937661.040 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.040 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.040 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.040 * [misc]backup-simplify: Simplify (* 0 lambda2) into 0 1546937661.040 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 lambda2)) into lambda2 1546937661.040 * [misc]backup-simplify: Simplify (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) 1546937661.041 * [misc]backup-simplify: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.041 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.041 * [misc]backup-simplify: Simplify (+ 0 (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.041 * [misc]backup-simplify: Simplify (+ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 0) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.042 * [misc]backup-simplify: Simplify (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.042 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.042 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.042 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.042 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.043 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.043 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.044 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.044 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.045 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.045 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.045 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.045 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937661.046 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)))) into 0 1546937661.046 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.046 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.046 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.047 * [misc]backup-simplify: Simplify (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1546937661.047 * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)) 1546937661.047 * [misc]backup-simplify: Simplify (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937661.048 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937661.049 * [misc]backup-simplify: Simplify (/ (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) (* 2 (sqrt (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)))) into (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 1546937661.049 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.049 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.049 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937661.049 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.049 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.049 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.049 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.049 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.049 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.049 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.049 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.049 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.049 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.049 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.049 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.050 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.050 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.050 * [misc]taylor: Taking taylor expansion of (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) in lambda2 1546937661.050 * [misc]taylor: Taking taylor expansion of -1 in lambda2 1546937661.050 * [misc]backup-simplify: Simplify -1 into -1 1546937661.050 * [misc]taylor: Taking taylor expansion of (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2) in lambda2 1546937661.050 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.050 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.050 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937661.050 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.050 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.050 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.050 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.050 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.050 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.050 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.050 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.050 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.050 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.051 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.051 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.051 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.051 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.051 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.051 * [misc]backup-simplify: Simplify 0 into 0 1546937661.051 * [misc]backup-simplify: Simplify 1 into 1 1546937661.051 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.051 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.052 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.052 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.052 * [misc]backup-simplify: Simplify (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.052 * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937661.052 * [misc]taylor: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1546937661.052 * [misc]taylor: Taking taylor expansion of -1 in phi1 1546937661.052 * [misc]backup-simplify: Simplify -1 into -1 1546937661.052 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937661.052 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937661.053 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937661.053 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.053 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937661.053 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937661.053 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.053 * [misc]backup-simplify: Simplify 0 into 0 1546937661.053 * [misc]backup-simplify: Simplify 1 into 1 1546937661.053 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.053 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937661.053 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.053 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.053 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.053 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.053 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937661.054 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.054 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.054 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.054 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.054 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.054 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937661.054 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937661.054 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937661.054 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.054 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937661.054 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937661.054 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.055 * [misc]backup-simplify: Simplify 0 into 0 1546937661.055 * [misc]backup-simplify: Simplify 1 into 1 1546937661.055 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.055 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937661.055 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.055 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.055 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.055 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.055 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937661.055 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.057 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.057 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.057 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.058 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.058 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.058 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.059 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.060 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.060 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.060 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.060 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.061 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.061 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.062 * [misc]backup-simplify: Simplify (+ 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937661.062 * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) into (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1546937661.063 * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) into (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) 1546937661.063 * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1546937661.063 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.063 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.064 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.064 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.064 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.064 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.065 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.066 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.066 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.066 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.066 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.067 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 lambda2))) into 0 1546937661.067 * [misc]backup-simplify: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)))) into 0 1546937661.067 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) into 0 1546937661.067 * [misc]backup-simplify: Simplify (+ (/ 2 (* phi1 phi2)) 0) into (* 2 (/ 1 (* phi1 phi2))) 1546937661.068 * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (* phi1 phi2)))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1546937661.068 * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) 1546937661.070 * [misc]backup-simplify: Simplify (/ (- (- (+ (/ 1 (pow phi2 2)) (+ (/ 1 (pow phi1 2)) (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)))) (* 2 (/ 1 (* phi1 phi2)))) (pow (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) 2) (+)) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937661.070 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 1546937661.070 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.070 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.070 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 1546937661.070 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in lambda2 1546937661.070 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in lambda2 1546937661.070 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in lambda2 1546937661.070 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937661.070 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.070 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.070 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937661.070 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937661.070 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in lambda2 1546937661.070 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937661.070 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.070 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.071 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937661.071 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937661.071 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in lambda2 1546937661.071 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.071 * [misc]backup-simplify: Simplify 2 into 2 1546937661.071 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in lambda2 1546937661.071 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937661.071 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.071 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.071 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.071 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.071 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937661.071 * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1546937661.071 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.071 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.071 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937661.071 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.071 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.071 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.071 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.071 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.071 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.071 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.071 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.071 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.072 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.072 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.072 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.072 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.072 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.072 * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1546937661.072 * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1546937661.073 * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1546937661.073 * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 1546937661.073 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.073 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.073 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.074 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.074 * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937661.074 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.075 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.075 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.075 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.075 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.075 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.077 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.077 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.077 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.078 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.078 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)))) into 0 1546937661.078 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.078 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.078 * [misc]backup-simplify: Simplify 0 into 0 1546937661.079 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.079 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.079 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.079 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.079 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.080 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.081 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.081 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.081 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.082 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.082 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.082 * [misc]backup-simplify: Simplify 0 into 0 1546937661.082 * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937661.082 * [misc]taylor: Taking taylor expansion of (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi2 1546937661.082 * [misc]taylor: Taking taylor expansion of -1 in phi2 1546937661.082 * [misc]backup-simplify: Simplify -1 into -1 1546937661.082 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937661.082 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937661.082 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937661.082 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.082 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937661.082 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937661.082 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937661.082 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.082 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.082 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937661.082 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.082 * [misc]backup-simplify: Simplify 0 into 0 1546937661.082 * [misc]backup-simplify: Simplify 1 into 1 1546937661.082 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.083 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937661.083 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937661.083 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.083 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937661.083 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937661.083 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937661.083 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.083 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937661.083 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937661.083 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937661.083 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.083 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.083 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937661.083 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.083 * [misc]backup-simplify: Simplify 0 into 0 1546937661.083 * [misc]backup-simplify: Simplify 1 into 1 1546937661.084 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.084 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937661.084 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937661.084 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.084 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937661.084 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi2 2)) (/ 0 (pow phi2 2))))) into 0 1546937661.085 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937661.085 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow phi1 2)) (/ 0 (pow phi1 2))))) into 0 1546937661.087 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1546937661.087 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1546937661.087 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.088 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.088 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.088 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.090 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.091 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1546937661.091 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.091 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.091 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into 0 1546937661.092 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1546937661.093 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.093 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.093 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.093 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.093 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.093 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.094 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.095 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.095 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.095 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.095 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.095 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.096 * [misc]backup-simplify: Simplify (+ (* lambda2 0) (* 0 lambda2)) into 0 1546937661.096 * [misc]backup-simplify: Simplify (- (/ 0 (pow lambda2 2)) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) (/ 0 (pow lambda2 2))))) into 0 1546937661.096 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.096 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.096 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.096 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1546937661.097 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* phi1 phi2)) (/ 0 (* phi1 phi2))))) into 0 1546937661.097 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (* phi1 phi2)))) into 0 1546937661.098 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.098 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.098 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.098 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.098 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.099 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.100 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.100 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.100 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.100 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.101 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.101 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 lambda2)))) into 0 1546937661.102 * [misc]backup-simplify: Simplify (- (/ 0 lambda2) (+ (* (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1546937661.102 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) into 0 1546937661.102 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.102 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.103 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.104 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* -1 (/ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) lambda2)) (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))))) (* 2 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937661.104 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in lambda2 1546937661.104 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.104 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in lambda2 1546937661.104 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) (* 2 (/ 1 (* lambda2 (* phi1 phi2))))) in lambda2 1546937661.104 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* lambda2 (pow phi2 2))) (/ 1 (* lambda2 (pow phi1 2)))) in lambda2 1546937661.104 * [misc]taylor: Taking taylor expansion of (/ 1 (* lambda2 (pow phi2 2))) in lambda2 1546937661.104 * [misc]taylor: Taking taylor expansion of (* lambda2 (pow phi2 2)) in lambda2 1546937661.104 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.104 * [misc]backup-simplify: Simplify 0 into 0 1546937661.104 * [misc]backup-simplify: Simplify 1 into 1 1546937661.104 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in lambda2 1546937661.104 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.104 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.104 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937661.104 * [misc]backup-simplify: Simplify (* 0 (pow phi2 2)) into 0 1546937661.104 * [misc]backup-simplify: Simplify (+ (* phi2 0) (* 0 phi2)) into 0 1546937661.105 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow phi2 2))) into (pow phi2 2) 1546937661.105 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937661.105 * [misc]taylor: Taking taylor expansion of (/ 1 (* lambda2 (pow phi1 2))) in lambda2 1546937661.105 * [misc]taylor: Taking taylor expansion of (* lambda2 (pow phi1 2)) in lambda2 1546937661.105 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.105 * [misc]backup-simplify: Simplify 0 into 0 1546937661.105 * [misc]backup-simplify: Simplify 1 into 1 1546937661.105 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in lambda2 1546937661.105 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.105 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.105 * [misc]backup-simplify: Simplify (* phi1 phi1) into (pow phi1 2) 1546937661.105 * [misc]backup-simplify: Simplify (* 0 (pow phi1 2)) into 0 1546937661.105 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi1)) into 0 1546937661.105 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow phi1 2))) into (pow phi1 2) 1546937661.106 * [misc]backup-simplify: Simplify (/ 1 (pow phi1 2)) into (/ 1 (pow phi1 2)) 1546937661.106 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* lambda2 (* phi1 phi2)))) in lambda2 1546937661.106 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.106 * [misc]backup-simplify: Simplify 2 into 2 1546937661.106 * [misc]taylor: Taking taylor expansion of (/ 1 (* lambda2 (* phi1 phi2))) in lambda2 1546937661.106 * [misc]taylor: Taking taylor expansion of (* lambda2 (* phi1 phi2)) in lambda2 1546937661.106 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.106 * [misc]backup-simplify: Simplify 0 into 0 1546937661.106 * [misc]backup-simplify: Simplify 1 into 1 1546937661.106 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in lambda2 1546937661.106 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.106 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.106 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.106 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.106 * [misc]backup-simplify: Simplify (* phi1 phi2) into (* phi1 phi2) 1546937661.106 * [misc]backup-simplify: Simplify (* 0 (* phi1 phi2)) into 0 1546937661.106 * [misc]backup-simplify: Simplify (+ (* phi1 0) (* 0 phi2)) into 0 1546937661.106 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* phi1 phi2))) into (* phi1 phi2) 1546937661.106 * [misc]backup-simplify: Simplify (/ 1 (* phi1 phi2)) into (/ 1 (* phi1 phi2)) 1546937661.106 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.106 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.107 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937661.107 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.107 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.107 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.107 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.107 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.107 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.107 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.107 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.107 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.107 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.107 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.107 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.107 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.107 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.108 * [misc]backup-simplify: Simplify (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) into (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) 1546937661.108 * [misc]backup-simplify: Simplify (* 2 (/ 1 (* phi1 phi2))) into (/ 2 (* phi1 phi2)) 1546937661.108 * [misc]backup-simplify: Simplify (- (/ 2 (* phi1 phi2))) into (- (* 2 (/ 1 (* phi1 phi2)))) 1546937661.108 * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (- (* 2 (/ 1 (* phi1 phi2))))) into (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) 1546937661.108 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.108 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.109 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.109 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.109 * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937661.110 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937661.110 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 1546937661.110 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937661.110 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.110 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1546937661.110 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 1546937661.110 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 1546937661.110 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1546937661.110 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937661.110 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.110 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.110 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937661.110 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937661.110 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1546937661.110 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937661.110 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.110 * [misc]backup-simplify: Simplify 0 into 0 1546937661.110 * [misc]backup-simplify: Simplify 1 into 1 1546937661.110 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.111 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.111 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1546937661.111 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937661.111 * [misc]backup-simplify: Simplify 2 into 2 1546937661.111 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1546937661.111 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937661.111 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.111 * [misc]backup-simplify: Simplify 0 into 0 1546937661.111 * [misc]backup-simplify: Simplify 1 into 1 1546937661.111 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.111 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.111 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937661.111 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937661.111 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.111 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937661.111 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937661.111 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937661.111 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.111 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937661.111 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937661.111 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.111 * [misc]backup-simplify: Simplify 0 into 0 1546937661.111 * [misc]backup-simplify: Simplify 1 into 1 1546937661.112 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.112 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937661.112 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.112 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.112 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.112 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.112 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937661.112 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.112 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937661.113 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.113 * [misc]backup-simplify: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937661.113 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937661.113 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937661.113 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.113 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1546937661.113 * [misc]backup-simplify: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 1546937661.114 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1546937661.114 * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 1546937661.114 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 1546937661.115 * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 1546937661.115 * [misc]taylor: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 1546937661.115 * [misc]taylor: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 1546937661.115 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937661.115 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937661.115 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937661.115 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.115 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937661.115 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937661.115 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937661.115 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.115 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.115 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937661.115 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.115 * [misc]backup-simplify: Simplify 0 into 0 1546937661.115 * [misc]backup-simplify: Simplify 1 into 1 1546937661.115 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.116 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937661.116 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937661.116 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.116 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.116 * [misc]backup-simplify: Simplify 0 into 0 1546937661.116 * [misc]backup-simplify: Simplify 1 into 1 1546937661.116 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.117 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.117 * [misc]backup-simplify: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937661.117 * [misc]backup-simplify: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937661.117 * [misc]backup-simplify: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937661.118 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937661.118 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) in phi1 1546937661.118 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937661.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.118 * [misc]taylor: Taking taylor expansion of (/ (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) in phi1 1546937661.118 * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) (* 2 (/ 1 (* phi1 phi2)))) in phi1 1546937661.118 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow phi2 2)) (/ 1 (pow phi1 2))) in phi1 1546937661.118 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi2 2)) in phi1 1546937661.118 * [misc]taylor: Taking taylor expansion of (pow phi2 2) in phi1 1546937661.118 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.118 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.118 * [misc]backup-simplify: Simplify (* phi2 phi2) into (pow phi2 2) 1546937661.118 * [misc]backup-simplify: Simplify (/ 1 (pow phi2 2)) into (/ 1 (pow phi2 2)) 1546937661.118 * [misc]taylor: Taking taylor expansion of (/ 1 (pow phi1 2)) in phi1 1546937661.118 * [misc]taylor: Taking taylor expansion of (pow phi1 2) in phi1 1546937661.118 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.119 * [misc]backup-simplify: Simplify 0 into 0 1546937661.119 * [misc]backup-simplify: Simplify 1 into 1 1546937661.119 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.119 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.119 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* phi1 phi2))) in phi1 1546937661.119 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937661.119 * [misc]backup-simplify: Simplify 2 into 2 1546937661.119 * [misc]taylor: Taking taylor expansion of (/ 1 (* phi1 phi2)) in phi1 1546937661.119 * [misc]taylor: Taking taylor expansion of (* phi1 phi2) in phi1 1546937661.119 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.119 * [misc]backup-simplify: Simplify 0 into 0 1546937661.119 * [misc]backup-simplify: Simplify 1 into 1 1546937661.119 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.119 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.119 * [misc]backup-simplify: Simplify (* 0 phi2) into 0 1546937661.119 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 phi2)) into phi2 1546937661.120 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.120 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937661.120 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937661.120 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937661.120 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.120 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937661.120 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937661.120 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.120 * [misc]backup-simplify: Simplify 0 into 0 1546937661.120 * [misc]backup-simplify: Simplify 1 into 1 1546937661.120 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.120 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937661.120 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.120 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.120 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.120 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.120 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937661.121 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.121 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937661.121 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.121 * [misc]backup-simplify: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937661.121 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937661.122 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937661.122 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.122 * [misc]backup-simplify: Simplify (* 2 (/ 1 phi2)) into (/ 2 phi2) 1546937661.122 * [misc]backup-simplify: Simplify (- (/ 2 phi2)) into (- (* 2 (/ 1 phi2))) 1546937661.122 * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (/ 1 phi2)))) into (- (* 2 (/ 1 phi2))) 1546937661.122 * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 phi2))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (+ (* (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) (/ 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))))) into (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)))) 1546937661.123 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 2 (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))))) (* 0 (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) 1546937661.123 * [misc]taylor: Taking taylor expansion of (- (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2))) in phi2 1546937661.123 * [misc]taylor: Taking taylor expansion of (/ 1 (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2)) in phi2 1546937661.123 * [misc]taylor: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) phi2) in phi2 1546937661.123 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937661.123 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937661.123 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937661.123 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.123 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937661.123 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937661.123 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937661.123 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.123 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.123 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937661.123 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.123 * [misc]backup-simplify: Simplify 0 into 0 1546937661.123 * [misc]backup-simplify: Simplify 1 into 1 1546937661.124 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.124 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937661.124 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937661.124 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.124 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.124 * [misc]backup-simplify: Simplify 0 into 0 1546937661.124 * [misc]backup-simplify: Simplify 1 into 1 1546937661.124 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.125 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) (* 0 0)) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.125 * [misc]backup-simplify: Simplify (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937661.125 * [misc]backup-simplify: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937661.125 * [misc]backup-simplify: Simplify (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into (- (/ 1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) 1546937661.126 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.127 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.127 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.127 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.127 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.128 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.129 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.129 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.129 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.130 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.130 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.131 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.131 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.131 * [misc]backup-simplify: Simplify 0 into 0 1546937661.132 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.132 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.132 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.133 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.133 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.133 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.134 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.135 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.135 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.135 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.135 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.135 * [misc]backup-simplify: Simplify 0 into 0 1546937661.135 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.135 * [misc]backup-simplify: Simplify 0 into 0 1546937661.135 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.135 * [misc]backup-simplify: Simplify 0 into 0 1546937661.136 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.136 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.136 * [misc]backup-simplify: Simplify 0 into 0 1546937661.136 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.136 * [misc]backup-simplify: Simplify 0 into 0 1546937661.136 * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937661.136 * [misc]backup-simplify: Simplify (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (* -1 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) 1546937661.138 * [misc]backup-simplify: Simplify (+ (* (* -1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2))))))) (* 1 (* 1 (* (/ 1 (/ 1 (- lambda2))) 1)))) (+ (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* 1 (/ 1 (- lambda1)))))) (* (- (/ 1 (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))))) (* (/ 1 (/ 1 (- phi2))) (* (/ 1 (/ 1 (- phi1))) (* (/ 1 (/ 1 (- lambda2))) (pow (/ 1 (- lambda1)) 2))))))) into (+ (/ (* lambda2 (* phi1 phi2)) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2))))) (+ (* lambda2 (cos (* 1/2 (+ phi1 phi2)))) (/ (* phi1 phi2) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))))) 1546937661.138 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 2) 1546937661.138 * [misc]backup-simplify: Simplify (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 1546937661.138 * [misc]approximate: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 1546937661.138 * [misc]taylor: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi2 1546937661.138 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi2 1546937661.138 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi2 1546937661.138 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.138 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.139 * [misc]taylor: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi2 1546937661.139 * [misc]taylor: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 1546937661.139 * [misc]taylor: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2 1546937661.139 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 1546937661.139 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937661.139 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.139 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.139 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.139 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) 1546937661.139 * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1546937661.139 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 1546937661.139 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1546937661.139 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1546937661.139 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.139 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.139 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 1546937661.139 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937661.139 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.139 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.139 * [misc]backup-simplify: Simplify 0 into 0 1546937661.139 * [misc]backup-simplify: Simplify 1 into 1 1546937661.139 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 1546937661.139 * [misc]backup-simplify: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1546937661.139 * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1546937661.139 * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1546937661.140 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 1546937661.140 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 1546937661.140 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.140 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 1546937661.140 * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2) 1546937661.140 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 1546937661.141 * [misc]backup-simplify: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1546937661.141 * [misc]backup-simplify: Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) 1546937661.141 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) 1546937661.141 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3) 1546937661.141 * [misc]taylor: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi1 1546937661.141 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi1 1546937661.141 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi1 1546937661.141 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.141 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.142 * [misc]taylor: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1 1546937661.142 * [misc]taylor: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1546937661.142 * [misc]taylor: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi1 1546937661.142 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 1546937661.142 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937661.142 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.142 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937661.142 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.142 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) 1546937661.142 * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1546937661.142 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937661.142 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937661.142 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937661.142 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937661.142 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.142 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937661.142 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.142 * [misc]backup-simplify: Simplify 0 into 0 1546937661.142 * [misc]backup-simplify: Simplify 1 into 1 1546937661.142 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.142 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.142 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937661.142 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937661.142 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937661.142 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937661.143 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937661.143 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937661.143 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.143 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937661.143 * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2) 1546937661.143 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937661.144 * [misc]backup-simplify: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1546937661.144 * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) 1546937661.144 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) 1546937661.144 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) 1546937661.144 * [misc]taylor: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2 1546937661.144 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2 1546937661.144 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 1546937661.144 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.144 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.144 * [misc]taylor: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 1546937661.144 * [misc]taylor: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937661.144 * [misc]taylor: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda2 1546937661.144 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 1546937661.145 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.145 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.145 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.145 * [misc]backup-simplify: Simplify 0 into 0 1546937661.145 * [misc]backup-simplify: Simplify 1 into 1 1546937661.145 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.145 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 1546937661.145 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937661.145 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937661.145 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937661.145 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.145 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.145 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937661.145 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.145 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.145 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.145 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.145 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937661.145 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937661.145 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.145 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937661.146 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.146 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937661.146 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.146 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.146 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937661.146 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.146 * [misc]backup-simplify: Simplify (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1546937661.147 * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1546937661.147 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) 1546937661.147 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 1546937661.147 * [misc]taylor: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1 1546937661.147 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1 1546937661.147 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1 1546937661.147 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 1546937661.147 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.147 * [misc]taylor: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1 1546937661.147 * [misc]taylor: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 1546937661.147 * [misc]taylor: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 1546937661.147 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1546937661.147 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.147 * [misc]backup-simplify: Simplify 0 into 0 1546937661.147 * [misc]backup-simplify: Simplify 1 into 1 1546937661.147 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.148 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.148 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) 1546937661.148 * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) 1546937661.148 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1546937661.148 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1546937661.148 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1546937661.148 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937661.148 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.148 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 1546937661.148 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.148 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.148 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.148 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.148 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937661.148 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937661.148 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.148 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937661.148 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.148 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937661.149 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.149 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.149 * [misc]backup-simplify: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 1546937661.149 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.149 * [misc]backup-simplify: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937661.149 * [misc]backup-simplify: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1546937661.150 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1546937661.150 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 1546937661.150 * [misc]taylor: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1 1546937661.150 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1 1546937661.150 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1 1546937661.150 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 1546937661.150 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.150 * [misc]taylor: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1 1546937661.150 * [misc]taylor: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 1546937661.150 * [misc]taylor: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 1546937661.150 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1546937661.150 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.150 * [misc]backup-simplify: Simplify 0 into 0 1546937661.150 * [misc]backup-simplify: Simplify 1 into 1 1546937661.150 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.150 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.150 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) 1546937661.150 * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) 1546937661.150 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1546937661.150 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1546937661.150 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1546937661.150 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937661.150 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.151 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 1546937661.151 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.151 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.151 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.151 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.151 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937661.151 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937661.151 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.151 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937661.151 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.151 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937661.151 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.151 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.152 * [misc]backup-simplify: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 1546937661.152 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.152 * [misc]backup-simplify: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937661.152 * [misc]backup-simplify: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1546937661.152 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1546937661.152 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 1546937661.153 * [misc]taylor: Taking taylor expansion of (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2 1546937661.153 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2 1546937661.153 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 1546937661.153 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.153 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.153 * [misc]taylor: Taking taylor expansion of (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 1546937661.153 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937661.153 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937661.153 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.153 * [misc]backup-simplify: Simplify 0 into 0 1546937661.153 * [misc]backup-simplify: Simplify 1 into 1 1546937661.153 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937661.153 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937661.153 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937661.153 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.153 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937661.153 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.153 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.153 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.153 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.153 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937661.153 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937661.153 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.153 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937661.154 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.154 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937661.154 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.154 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.154 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.154 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.155 * [misc]backup-simplify: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.155 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937661.155 * [misc]backup-simplify: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) 1546937661.155 * [misc]backup-simplify: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) 1546937661.155 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) 1546937661.155 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) in phi1 1546937661.156 * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) in phi1 1546937661.156 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.156 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.156 * [misc]taylor: Taking taylor expansion of (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) in phi1 1546937661.156 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1546937661.156 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937661.156 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937661.156 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937661.156 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937661.156 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.156 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937661.156 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.156 * [misc]backup-simplify: Simplify 0 into 0 1546937661.156 * [misc]backup-simplify: Simplify 1 into 1 1546937661.156 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.156 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.156 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937661.156 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937661.156 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937661.156 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937661.156 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937661.156 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937661.156 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.157 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937661.157 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937661.157 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 1546937661.157 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda2)) in phi1 1546937661.157 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937661.157 * [misc]backup-simplify: Simplify 2 into 2 1546937661.157 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi1 1546937661.157 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937661.157 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.157 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.157 * [misc]backup-simplify: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 1546937661.157 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) into (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) 1546937661.157 * [misc]backup-simplify: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) 1546937661.158 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) 1546937661.158 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 1546937661.158 * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 1546937661.158 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.158 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.158 * [misc]taylor: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 1546937661.158 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 1546937661.158 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937661.158 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937661.158 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937661.158 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.158 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.158 * [misc]backup-simplify: Simplify 0 into 0 1546937661.158 * [misc]backup-simplify: Simplify 1 into 1 1546937661.158 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937661.159 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937661.159 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.159 * [misc]backup-simplify: Simplify (log 1) into 0 1546937661.159 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda2)) in phi2 1546937661.159 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937661.159 * [misc]backup-simplify: Simplify 2 into 2 1546937661.159 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 1546937661.159 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.159 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.159 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.159 * [misc]backup-simplify: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 1546937661.159 * [misc]backup-simplify: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) 1546937661.159 * [misc]backup-simplify: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) 1546937661.160 * [misc]backup-simplify: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) 1546937661.160 * [misc]backup-simplify: Simplify (pow lambda2 2/3) into (pow lambda2 2/3) 1546937661.160 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.160 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937661.160 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.160 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937661.162 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.162 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937661.162 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.163 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.163 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937661.163 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.163 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.163 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 1) (* 1 (- lambda2))) into (- (* 2 lambda2)) 1546937661.164 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) 0) (* (- (* 2 lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1546937661.164 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 1) into (/ -2 lambda2) 1546937661.165 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda2))) 1546937661.165 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) 1546937661.165 * [misc]taylor: Taking taylor expansion of (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) in lambda2 1546937661.165 * [misc]taylor: Taking taylor expansion of -2/3 in lambda2 1546937661.165 * [misc]backup-simplify: Simplify -2/3 into -2/3 1546937661.165 * [misc]taylor: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3) in lambda2 1546937661.165 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) in lambda2 1546937661.165 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) in lambda2 1546937661.165 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.165 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.165 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)) in lambda2 1546937661.165 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2 1546937661.165 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937661.165 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937661.165 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937661.165 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.166 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.166 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937661.166 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.166 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.166 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.166 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.166 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937661.166 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937661.166 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.166 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937661.166 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.166 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937661.166 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.167 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.167 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.167 * [misc]backup-simplify: Simplify 0 into 0 1546937661.167 * [misc]backup-simplify: Simplify 1 into 1 1546937661.167 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.167 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.167 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937661.167 * [misc]backup-simplify: Simplify (+ (* (- 1) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) 1546937661.168 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) 1546937661.168 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) 1546937661.168 * [misc]backup-simplify: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) 1546937661.168 * [misc]taylor: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) in phi1 1546937661.168 * [misc]taylor: Taking taylor expansion of -2/3 in phi1 1546937661.168 * [misc]backup-simplify: Simplify -2/3 into -2/3 1546937661.168 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) in phi1 1546937661.168 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) in phi1 1546937661.168 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.168 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.168 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) in phi1 1546937661.168 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1546937661.168 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937661.168 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937661.168 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937661.168 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937661.168 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.168 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937661.168 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.168 * [misc]backup-simplify: Simplify 0 into 0 1546937661.168 * [misc]backup-simplify: Simplify 1 into 1 1546937661.169 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.169 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.169 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937661.169 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937661.169 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937661.169 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937661.169 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937661.169 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937661.169 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.169 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937661.169 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937661.169 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 1546937661.169 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi1 1546937661.169 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937661.170 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.170 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.170 * [misc]backup-simplify: Simplify (- (log lambda2)) into (- (log lambda2)) 1546937661.170 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (log lambda2))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) 1546937661.170 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) 1546937661.170 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) 1546937661.170 * [misc]backup-simplify: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) 1546937661.170 * [misc]taylor: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) in phi2 1546937661.170 * [misc]taylor: Taking taylor expansion of -2/3 in phi2 1546937661.170 * [misc]backup-simplify: Simplify -2/3 into -2/3 1546937661.170 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) in phi2 1546937661.170 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) in phi2 1546937661.170 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.170 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.170 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) in phi2 1546937661.171 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 1546937661.171 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937661.171 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937661.171 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937661.171 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.171 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.171 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.171 * [misc]backup-simplify: Simplify 0 into 0 1546937661.171 * [misc]backup-simplify: Simplify 1 into 1 1546937661.171 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937661.171 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937661.171 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.171 * [misc]backup-simplify: Simplify (log 1) into 0 1546937661.171 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 1546937661.171 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.171 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.172 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.172 * [misc]backup-simplify: Simplify (- (log lambda2)) into (- (log lambda2)) 1546937661.172 * [misc]backup-simplify: Simplify (+ 0 (- (log lambda2))) into (- (log lambda2)) 1546937661.172 * [misc]backup-simplify: Simplify (* 1/3 (- (log lambda2))) into (* -1/3 (log lambda2)) 1546937661.172 * [misc]backup-simplify: Simplify (exp (* -1/3 (log lambda2))) into (pow lambda2 -1/3) 1546937661.172 * [misc]backup-simplify: Simplify (* -2/3 (pow lambda2 -1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) 1546937661.172 * [misc]backup-simplify: Simplify (* -2/3 (pow (/ 1 lambda2) 1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) 1546937661.172 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.172 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937661.173 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.173 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937661.174 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.174 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937661.174 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.175 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.175 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937661.175 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937661.175 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 1546937661.176 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1)))) 1) into 0 1546937661.177 * [misc]backup-simplify: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) 1546937661.177 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into 0 1546937661.178 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.179 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.179 * [misc]backup-simplify: Simplify 0 into 0 1546937661.179 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.179 * [misc]backup-simplify: Simplify 0 into 0 1546937661.179 * [misc]backup-simplify: Simplify 0 into 0 1546937661.179 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.179 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 1546937661.179 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.179 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 1546937661.180 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937661.181 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 1546937661.181 * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937661.181 * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937661.181 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 1546937661.182 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) 1)) (pow (pow (cos (* 1/2 phi2)) 2) 1)))) 1) into (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 1546937661.183 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 1546937661.183 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 1546937661.183 * [misc]backup-simplify: Simplify (+ (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 0) into (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 1546937661.183 * [misc]backup-simplify: Simplify (+ (* 1/3 (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) (* 0 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 1546937661.184 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 1) 1)))) into (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) 1546937661.184 * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) in phi2 1546937661.184 * [misc]taylor: Taking taylor expansion of -1/3 in phi2 1546937661.184 * [misc]backup-simplify: Simplify -1/3 into -1/3 1546937661.184 * [misc]taylor: Taking taylor expansion of (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2))) in phi2 1546937661.184 * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) in phi2 1546937661.184 * [misc]taylor: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 1546937661.184 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937661.184 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.184 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.184 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.184 * [misc]backup-simplify: Simplify 0 into 0 1546937661.184 * [misc]backup-simplify: Simplify 1 into 1 1546937661.184 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937661.185 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937661.185 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 1546937661.185 * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 1546937661.185 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.185 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.185 * [misc]taylor: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 1546937661.185 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 1546937661.185 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937661.185 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937661.185 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937661.185 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.185 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.185 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.185 * [misc]backup-simplify: Simplify 0 into 0 1546937661.185 * [misc]backup-simplify: Simplify 1 into 1 1546937661.185 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937661.185 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937661.186 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.186 * [misc]backup-simplify: Simplify (log 1) into 0 1546937661.186 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda2)) in phi2 1546937661.186 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937661.186 * [misc]backup-simplify: Simplify 2 into 2 1546937661.186 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 1546937661.186 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.186 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.186 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.186 * [misc]backup-simplify: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 1546937661.186 * [misc]backup-simplify: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) 1546937661.186 * [misc]backup-simplify: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) 1546937661.186 * [misc]backup-simplify: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) 1546937661.186 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937661.186 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937661.186 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.186 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.186 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.186 * [misc]backup-simplify: Simplify 0 into 0 1546937661.186 * [misc]backup-simplify: Simplify 1 into 1 1546937661.187 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937661.187 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937661.187 * [misc]backup-simplify: Simplify (* 0 (pow lambda2 2/3)) into 0 1546937661.187 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.188 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937661.191 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546937661.192 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 1546937661.192 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 1546937661.192 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.193 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 1546937661.194 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.194 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937661.195 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (pow lambda2 2/3))) into (* 1/2 (pow (pow lambda2 2) 1/3)) 1546937661.195 * [misc]backup-simplify: Simplify (/ (* 1/2 (pow (pow lambda2 2) 1/3)) 1) into (* 1/2 (pow (pow lambda2 2) 1/3)) 1546937661.195 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.195 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937661.197 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546937661.198 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 1546937661.198 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 1546937661.198 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.198 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 1546937661.199 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.199 * [misc]backup-simplify: Simplify 0 into 0 1546937661.200 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.201 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.201 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.201 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 1546937661.202 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.202 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.202 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.203 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.203 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 1546937661.203 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.203 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.203 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (+ (* 1 1) (* 0 (- lambda2)))) into 1 1546937661.204 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) 0) (+ (* (- (* 2 lambda2)) 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.205 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 2)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 2) into (/ -1 (pow lambda2 2)) 1546937661.205 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 1546937661.205 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) 1546937661.206 * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) in lambda2 1546937661.206 * [misc]taylor: Taking taylor expansion of -1/9 in lambda2 1546937661.206 * [misc]backup-simplify: Simplify -1/9 into -1/9 1546937661.206 * [misc]taylor: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3) in lambda2 1546937661.206 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))))) in lambda2 1546937661.206 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)))) in lambda2 1546937661.206 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.206 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.206 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))) in lambda2 1546937661.206 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) in lambda2 1546937661.206 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937661.206 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937661.206 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937661.206 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.206 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.206 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937661.206 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.206 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.206 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.206 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.206 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937661.206 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937661.206 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.206 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937661.206 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.207 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937661.207 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.207 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.207 * [misc]taylor: Taking taylor expansion of (pow lambda2 4) in lambda2 1546937661.207 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.207 * [misc]backup-simplify: Simplify 0 into 0 1546937661.207 * [misc]backup-simplify: Simplify 1 into 1 1546937661.207 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.207 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.207 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.208 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.208 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937661.208 * [misc]backup-simplify: Simplify (+ (* (- 4) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) 1546937661.208 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) 1546937661.208 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) 1546937661.209 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) 1546937661.209 * [misc]taylor: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) in phi1 1546937661.209 * [misc]taylor: Taking taylor expansion of -1/9 in phi1 1546937661.209 * [misc]backup-simplify: Simplify -1/9 into -1/9 1546937661.209 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) in phi1 1546937661.209 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) in phi1 1546937661.209 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.209 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.209 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) in phi1 1546937661.209 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1546937661.209 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937661.209 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937661.209 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937661.209 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937661.209 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.209 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937661.209 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.209 * [misc]backup-simplify: Simplify 0 into 0 1546937661.209 * [misc]backup-simplify: Simplify 1 into 1 1546937661.209 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.209 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.209 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937661.209 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937661.209 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937661.209 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937661.209 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937661.209 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937661.210 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.210 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937661.210 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937661.210 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 1546937661.210 * [misc]taylor: Taking taylor expansion of (* 4 (log lambda2)) in phi1 1546937661.210 * [misc]taylor: Taking taylor expansion of 4 in phi1 1546937661.210 * [misc]backup-simplify: Simplify 4 into 4 1546937661.210 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi1 1546937661.210 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937661.210 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.210 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.210 * [misc]backup-simplify: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) 1546937661.210 * [misc]backup-simplify: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) 1546937661.210 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (* 4 (log lambda2)))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) 1546937661.211 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) 1546937661.211 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) 1546937661.211 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) 1546937661.211 * [misc]taylor: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) in phi2 1546937661.211 * [misc]taylor: Taking taylor expansion of -1/9 in phi2 1546937661.211 * [misc]backup-simplify: Simplify -1/9 into -1/9 1546937661.211 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) in phi2 1546937661.211 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) in phi2 1546937661.211 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.211 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.211 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) in phi2 1546937661.211 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 1546937661.211 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937661.211 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937661.211 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937661.211 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.211 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.211 * [misc]backup-simplify: Simplify 0 into 0 1546937661.211 * [misc]backup-simplify: Simplify 1 into 1 1546937661.212 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937661.212 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937661.212 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.212 * [misc]backup-simplify: Simplify (log 1) into 0 1546937661.212 * [misc]taylor: Taking taylor expansion of (* 4 (log lambda2)) in phi2 1546937661.212 * [misc]taylor: Taking taylor expansion of 4 in phi2 1546937661.212 * [misc]backup-simplify: Simplify 4 into 4 1546937661.212 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 1546937661.212 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.212 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.212 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.212 * [misc]backup-simplify: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) 1546937661.212 * [misc]backup-simplify: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) 1546937661.213 * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (log lambda2)))) into (- (* 4 (log lambda2))) 1546937661.213 * [misc]backup-simplify: Simplify (* 1/3 (- (* 4 (log lambda2)))) into (* -4/3 (log lambda2)) 1546937661.213 * [misc]backup-simplify: Simplify (exp (* -4/3 (log lambda2))) into (pow lambda2 -4/3) 1546937661.213 * [misc]backup-simplify: Simplify (* -1/9 (pow lambda2 -4/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) 1546937661.213 * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) 1546937661.214 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) (pow (* 1 (* 1 (* 1 lambda1))) 2)) (+ (* (* -2/3 (pow (/ 1 lambda2) 1/3)) (* 1 (* 1 (* 1 lambda1)))) (pow lambda2 2/3))) into (- (pow lambda2 2/3) (+ (* 2/3 (* (pow (/ 1 lambda2) 1/3) lambda1)) (* 1/9 (* (pow (/ 1 (pow lambda2 4)) 1/3) (pow lambda1 2))))) 1546937661.214 * [misc]backup-simplify: Simplify (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 1546937661.214 * [misc]approximate: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 1546937661.214 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi2 1546937661.214 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi2 1546937661.214 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi2 1546937661.214 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.214 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.214 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi2 1546937661.214 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi2 1546937661.214 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937661.214 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937661.214 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937661.214 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.215 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.215 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937661.215 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937661.215 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937661.215 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.215 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.215 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937661.215 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.215 * [misc]backup-simplify: Simplify 0 into 0 1546937661.215 * [misc]backup-simplify: Simplify 1 into 1 1546937661.215 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.215 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937661.215 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937661.215 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.215 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi2 1546937661.215 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 1546937661.215 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 1546937661.215 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937661.215 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.216 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937661.216 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 1546937661.216 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.216 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.216 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.216 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1546937661.216 * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1546937661.216 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.216 * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) 1546937661.217 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1546937661.217 * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) 1546937661.217 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) 1546937661.217 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 1546937661.218 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi1 1546937661.218 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi1 1546937661.218 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi1 1546937661.218 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.218 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.218 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi1 1546937661.218 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi1 1546937661.218 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937661.218 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937661.218 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937661.218 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937661.218 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.218 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937661.218 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937661.218 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.218 * [misc]backup-simplify: Simplify 0 into 0 1546937661.218 * [misc]backup-simplify: Simplify 1 into 1 1546937661.218 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.218 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937661.218 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.218 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.218 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.218 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.219 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937661.219 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.219 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi1 1546937661.219 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 1546937661.219 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 1546937661.219 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937661.219 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.219 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937661.219 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 1546937661.219 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937661.219 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.219 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.219 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1546937661.219 * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1546937661.219 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.219 * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) 1546937661.220 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1546937661.220 * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) 1546937661.220 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) 1546937661.220 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 1546937661.220 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda2 1546937661.220 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda2 1546937661.220 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda2 1546937661.220 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.220 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.220 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda2 1546937661.220 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 1546937661.220 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.220 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.220 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.220 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.220 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.220 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.220 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.220 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.220 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.221 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.221 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.221 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.221 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.221 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.221 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.221 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.221 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.221 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.221 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.221 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.221 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.221 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.221 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda2 1546937661.221 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1546937661.221 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 1546937661.221 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.221 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.221 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937661.221 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 1546937661.221 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.221 * [misc]backup-simplify: Simplify 0 into 0 1546937661.221 * [misc]backup-simplify: Simplify 1 into 1 1546937661.222 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.222 * [misc]backup-simplify: Simplify (- 1) into -1 1546937661.222 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1546937661.222 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.222 * [misc]backup-simplify: Simplify (* -1 -1) into 1 1546937661.222 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.222 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.223 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 1546937661.223 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 1546937661.223 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 1546937661.223 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1 1546937661.223 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1 1546937661.223 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1 1546937661.223 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 1546937661.223 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.223 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1 1546937661.223 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 1546937661.223 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937661.223 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937661.223 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937661.223 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937661.223 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.223 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937661.223 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937661.223 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.223 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.223 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.223 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937661.223 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.223 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.223 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.223 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.223 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.223 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.224 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.224 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.224 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.224 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.224 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.224 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 1546937661.224 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1546937661.224 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 1546937661.224 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.224 * [misc]backup-simplify: Simplify 0 into 0 1546937661.224 * [misc]backup-simplify: Simplify 1 into 1 1546937661.224 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.224 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 1546937661.224 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.224 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.224 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.224 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.225 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.225 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.225 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.225 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.225 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.225 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.225 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.225 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1 1546937661.225 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1 1546937661.226 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1 1546937661.226 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 1546937661.226 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.226 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1 1546937661.226 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 1546937661.226 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937661.226 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937661.226 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937661.226 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937661.226 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.226 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937661.226 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937661.226 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.226 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.226 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.226 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937661.226 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.226 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.226 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.226 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.226 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.226 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.226 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.226 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.226 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.226 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.227 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.227 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 1546937661.227 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1546937661.227 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 1546937661.227 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.227 * [misc]backup-simplify: Simplify 0 into 0 1546937661.227 * [misc]backup-simplify: Simplify 1 into 1 1546937661.227 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.227 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 1546937661.227 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.227 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.227 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.227 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.227 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.227 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.228 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.228 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.228 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.228 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.228 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.228 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 1546937661.228 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 1546937661.228 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.228 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.228 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 1546937661.228 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 1546937661.228 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.228 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.228 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.228 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.228 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.229 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.229 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.229 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.229 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.229 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.229 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.229 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.229 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.229 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.229 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.229 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.229 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.229 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.229 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.229 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.229 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.229 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.230 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.230 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.230 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 1546937661.230 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.230 * [misc]backup-simplify: Simplify 2 into 2 1546937661.230 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 1546937661.230 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.230 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.230 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.230 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.230 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.230 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.230 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.230 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.230 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 1546937661.230 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 1546937661.230 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.231 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.231 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 1546937661.231 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 1546937661.231 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937661.231 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937661.231 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937661.231 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937661.231 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.231 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937661.231 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937661.231 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.231 * [misc]backup-simplify: Simplify 0 into 0 1546937661.231 * [misc]backup-simplify: Simplify 1 into 1 1546937661.231 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.231 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937661.231 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.231 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.231 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.231 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.231 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937661.231 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.231 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.232 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.232 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi1 1546937661.232 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937661.232 * [misc]backup-simplify: Simplify 2 into 2 1546937661.232 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi1 1546937661.232 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937661.232 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.232 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.232 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.232 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.232 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.232 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.232 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.232 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 1546937661.232 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 1546937661.232 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.232 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.232 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 1546937661.232 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 1546937661.232 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937661.232 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937661.232 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937661.232 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.232 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.233 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937661.233 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937661.233 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937661.233 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.233 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.233 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937661.233 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.233 * [misc]backup-simplify: Simplify 0 into 0 1546937661.233 * [misc]backup-simplify: Simplify 1 into 1 1546937661.233 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.233 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937661.233 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937661.233 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.233 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.233 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.233 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi2 1546937661.233 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937661.233 * [misc]backup-simplify: Simplify 2 into 2 1546937661.233 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi2 1546937661.233 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937661.233 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.234 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.234 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.234 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.234 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.234 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.234 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.234 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.234 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937661.235 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1546937661.235 * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) 1546937661.235 * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 lambda2))) (* (- (/ 1 lambda2)) 1)) into (- (* 2 (/ 1 lambda2))) 1546937661.235 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.235 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.235 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.235 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.235 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.235 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.236 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.236 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.237 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.237 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.237 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.237 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937661.238 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 1546937661.238 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.238 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 1546937661.238 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 1546937661.238 * [misc]taylor: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 1546937661.238 * [misc]taylor: Taking taylor expansion of -2/3 in lambda2 1546937661.238 * [misc]backup-simplify: Simplify -2/3 into -2/3 1546937661.238 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 1546937661.238 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 1546937661.238 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 1546937661.238 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.238 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.238 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 1546937661.238 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 1546937661.238 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.238 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.238 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.238 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.239 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.239 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.239 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.239 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.239 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.239 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.239 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.239 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.239 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.239 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.239 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.239 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.239 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.239 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.239 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.239 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.239 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.239 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.240 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.240 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 1546937661.240 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.240 * [misc]backup-simplify: Simplify 2 into 2 1546937661.240 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 1546937661.240 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.240 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.240 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.240 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.240 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.240 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.240 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.240 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.240 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.240 * [misc]backup-simplify: Simplify 0 into 0 1546937661.240 * [misc]backup-simplify: Simplify 1 into 1 1546937661.241 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.241 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.241 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.241 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.241 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.241 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.241 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.242 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.242 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.242 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.242 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.243 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.243 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.244 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.244 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.244 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.244 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.244 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.245 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.245 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 1546937661.246 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 1546937661.246 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.246 * [misc]backup-simplify: Simplify 0 into 0 1546937661.246 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.246 * [misc]backup-simplify: Simplify 0 into 0 1546937661.246 * [misc]backup-simplify: Simplify 0 into 0 1546937661.246 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.246 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.246 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.246 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.247 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.247 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.248 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.248 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.248 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.248 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.248 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.249 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.249 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.249 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.250 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.250 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.250 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.251 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.251 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.251 * [misc]backup-simplify: Simplify 0 into 0 1546937661.251 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.251 * [misc]backup-simplify: Simplify 0 into 0 1546937661.251 * [misc]backup-simplify: Simplify 0 into 0 1546937661.251 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.252 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.252 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.252 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.252 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.252 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.253 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.253 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.253 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.253 * [misc]backup-simplify: Simplify 0 into 0 1546937661.254 * [misc]backup-simplify: Simplify 0 into 0 1546937661.254 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.254 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.255 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.255 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.255 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.255 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.255 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.256 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.256 * [misc]backup-simplify: Simplify 0 into 0 1546937661.256 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.256 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1546937661.257 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.257 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.257 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) (- (/ 1 lambda2))) (* 0 1))) into (/ 1 (pow lambda2 2)) 1546937661.258 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.258 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.258 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.258 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.258 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.258 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.259 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.259 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.259 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.259 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.260 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.260 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937661.261 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) 1546937661.261 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.261 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 1546937661.261 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) 1546937661.261 * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 1546937661.262 * [misc]taylor: Taking taylor expansion of -1/9 in lambda2 1546937661.262 * [misc]backup-simplify: Simplify -1/9 into -1/9 1546937661.262 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 1546937661.262 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 1546937661.262 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 1546937661.262 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.262 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.262 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 1546937661.262 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 1546937661.262 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.262 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.262 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.262 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.262 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.262 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.262 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.262 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.262 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.262 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.262 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.262 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.262 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.262 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.262 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.262 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.262 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.262 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.262 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.262 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.263 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.263 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.263 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.263 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.263 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 1546937661.263 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.263 * [misc]backup-simplify: Simplify 2 into 2 1546937661.263 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 1546937661.263 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.263 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.263 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.263 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.263 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.263 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.263 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.264 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.264 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937661.264 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.264 * [misc]backup-simplify: Simplify 0 into 0 1546937661.264 * [misc]backup-simplify: Simplify 1 into 1 1546937661.264 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.264 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.264 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.264 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.264 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.264 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.265 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.265 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.265 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.266 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.266 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.266 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.266 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.266 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.267 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.267 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.267 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.267 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.267 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.268 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.268 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.268 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.269 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.269 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.269 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.269 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.270 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.270 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.270 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.270 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.271 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 1546937661.272 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 1546937661.272 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 1546937661.272 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.273 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.273 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 1546937661.274 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546937661.274 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.275 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.275 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937661.276 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 1546937661.276 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.276 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 1546937661.276 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.277 * [misc]backup-simplify: Simplify 0 into 0 1546937661.277 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.277 * [misc]backup-simplify: Simplify 0 into 0 1546937661.277 * [misc]backup-simplify: Simplify 0 into 0 1546937661.277 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.277 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.278 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.278 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.278 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.278 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.279 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.279 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.279 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.279 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.280 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.281 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 1546937661.282 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 1546937661.282 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 1546937661.282 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.282 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.282 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 1546937661.284 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546937661.284 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.285 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 1546937661.285 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.285 * [misc]backup-simplify: Simplify 0 into 0 1546937661.285 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.285 * [misc]backup-simplify: Simplify 0 into 0 1546937661.285 * [misc]backup-simplify: Simplify 0 into 0 1546937661.285 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1)))))) 1546937661.285 * [misc]backup-simplify: Simplify (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 1546937661.285 * [misc]approximate: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 1546937661.285 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi2 1546937661.285 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi2 1546937661.285 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi2 1546937661.285 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.285 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.285 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi2 1546937661.285 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi2 1546937661.286 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937661.286 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937661.286 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937661.286 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937661.286 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.286 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937661.286 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937661.286 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937661.286 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.286 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.286 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937661.286 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.286 * [misc]backup-simplify: Simplify 0 into 0 1546937661.286 * [misc]backup-simplify: Simplify 1 into 1 1546937661.286 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.286 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937661.286 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937661.286 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.286 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi2 1546937661.286 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 1546937661.286 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 1546937661.286 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.286 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.286 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.286 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 1546937661.286 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937661.286 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.286 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937661.286 * [misc]backup-simplify: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1546937661.286 * [misc]backup-simplify: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1546937661.287 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.287 * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) 1546937661.287 * [misc]backup-simplify: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1546937661.287 * [misc]backup-simplify: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) 1546937661.287 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) 1546937661.288 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 1546937661.288 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi1 1546937661.288 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi1 1546937661.288 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi1 1546937661.288 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.288 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.288 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi1 1546937661.288 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi1 1546937661.288 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937661.288 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937661.288 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937661.288 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937661.288 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.288 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937661.288 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937661.288 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.288 * [misc]backup-simplify: Simplify 0 into 0 1546937661.288 * [misc]backup-simplify: Simplify 1 into 1 1546937661.288 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.288 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937661.288 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.288 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.288 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.288 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.288 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937661.288 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.288 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi1 1546937661.288 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 1546937661.289 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 1546937661.289 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937661.289 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.289 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.289 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 1546937661.289 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937661.289 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.289 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937661.289 * [misc]backup-simplify: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1546937661.289 * [misc]backup-simplify: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1546937661.289 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.289 * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) 1546937661.289 * [misc]backup-simplify: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1546937661.289 * [misc]backup-simplify: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) 1546937661.290 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) 1546937661.290 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 1546937661.290 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda2 1546937661.290 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda2 1546937661.290 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda2 1546937661.290 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.290 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.290 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda2 1546937661.290 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda2 1546937661.290 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.290 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.290 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.290 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937661.290 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.290 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.290 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.290 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.290 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.290 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.290 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.290 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.290 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.290 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.290 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.290 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.290 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.291 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.291 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.291 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.291 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.291 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.291 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda2 1546937661.291 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1546937661.291 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 1546937661.291 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.291 * [misc]backup-simplify: Simplify 0 into 0 1546937661.291 * [misc]backup-simplify: Simplify 1 into 1 1546937661.291 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.291 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 1546937661.291 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.291 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.291 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937661.291 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.292 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.292 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.292 * [misc]backup-simplify: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.292 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.292 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 1546937661.292 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 1546937661.292 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 1546937661.293 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1 1546937661.293 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1 1546937661.293 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1 1546937661.293 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 1546937661.293 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.293 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1 1546937661.293 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 1546937661.293 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937661.293 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937661.293 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937661.293 * [misc]taylor: Taking taylor expansion of -1/2 in lambda1 1546937661.293 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.293 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937661.293 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937661.293 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.293 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.293 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.293 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937661.293 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.293 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.293 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.293 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.293 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.293 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.294 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.294 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.294 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.294 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.294 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.294 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 1546937661.294 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1546937661.294 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 1546937661.294 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.294 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.294 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.295 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 1546937661.295 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.295 * [misc]backup-simplify: Simplify 0 into 0 1546937661.295 * [misc]backup-simplify: Simplify 1 into 1 1546937661.295 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.295 * [misc]backup-simplify: Simplify (- 1) into -1 1546937661.295 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1546937661.295 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.295 * [misc]backup-simplify: Simplify (* -1 -1) into 1 1546937661.295 * [misc]backup-simplify: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.295 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.296 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.296 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.296 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.296 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1 1546937661.296 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1 1546937661.296 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1 1546937661.296 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 1546937661.296 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.296 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1 1546937661.296 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 1546937661.296 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937661.296 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937661.296 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937661.296 * [misc]taylor: Taking taylor expansion of -1/2 in lambda1 1546937661.296 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.296 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937661.296 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937661.296 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.296 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.296 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.296 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937661.296 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.296 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.296 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.296 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.297 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.297 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.297 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.297 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.297 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.297 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.297 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.297 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 1546937661.297 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1546937661.297 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 1546937661.297 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.297 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.297 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.297 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 1546937661.297 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.297 * [misc]backup-simplify: Simplify 0 into 0 1546937661.297 * [misc]backup-simplify: Simplify 1 into 1 1546937661.297 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.298 * [misc]backup-simplify: Simplify (- 1) into -1 1546937661.298 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1546937661.298 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.298 * [misc]backup-simplify: Simplify (* -1 -1) into 1 1546937661.298 * [misc]backup-simplify: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.298 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.298 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.299 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.299 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.299 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 1546937661.299 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 1546937661.299 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.299 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.299 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 1546937661.299 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 1546937661.299 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.299 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.299 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.299 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937661.299 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.299 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.299 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.299 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.299 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.299 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.299 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.299 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.299 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.299 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.299 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.299 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.300 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.300 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.300 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.300 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.300 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.300 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.300 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.301 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.301 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 1546937661.301 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.301 * [misc]backup-simplify: Simplify 2 into 2 1546937661.301 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 1546937661.301 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.301 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.301 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.301 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.301 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.301 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.301 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.302 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.302 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 1546937661.302 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 1546937661.302 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.302 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.302 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 1546937661.302 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 1546937661.302 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937661.302 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937661.302 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937661.302 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937661.302 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.302 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937661.302 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937661.302 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.302 * [misc]backup-simplify: Simplify 0 into 0 1546937661.302 * [misc]backup-simplify: Simplify 1 into 1 1546937661.302 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.302 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937661.302 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.302 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.302 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.303 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.303 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937661.303 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.303 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.303 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.303 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi1 1546937661.303 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937661.303 * [misc]backup-simplify: Simplify 2 into 2 1546937661.303 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi1 1546937661.303 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937661.303 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.304 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.304 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.304 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.304 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.304 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.304 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.304 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 1546937661.304 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 1546937661.305 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.305 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.305 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 1546937661.305 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 1546937661.305 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937661.305 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937661.305 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937661.305 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937661.305 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.305 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937661.305 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937661.305 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937661.305 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.305 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.305 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937661.305 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.305 * [misc]backup-simplify: Simplify 0 into 0 1546937661.305 * [misc]backup-simplify: Simplify 1 into 1 1546937661.305 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.305 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937661.305 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937661.306 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.306 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.306 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.306 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi2 1546937661.306 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937661.306 * [misc]backup-simplify: Simplify 2 into 2 1546937661.306 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi2 1546937661.306 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937661.306 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.306 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.306 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.306 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.307 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.307 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.307 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.307 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.308 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937661.308 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.308 * [misc]backup-simplify: Simplify (+ (/ 1 lambda2) 0) into (/ 1 lambda2) 1546937661.308 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 lambda2)) (* (/ 1 lambda2) -1)) into (- (* 2 (/ 1 lambda2))) 1546937661.308 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.308 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.309 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.309 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.309 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.309 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.310 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.310 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.311 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.311 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.311 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.311 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937661.312 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 1546937661.312 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.313 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 1546937661.313 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 1546937661.313 * [misc]taylor: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 1546937661.313 * [misc]taylor: Taking taylor expansion of -2/3 in lambda2 1546937661.313 * [misc]backup-simplify: Simplify -2/3 into -2/3 1546937661.313 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 1546937661.313 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 1546937661.313 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 1546937661.313 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.313 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.313 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 1546937661.313 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 1546937661.313 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.313 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.314 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.314 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937661.314 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.314 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.314 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.314 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.314 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.314 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.314 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.314 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.314 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.314 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.314 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.314 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.314 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.314 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.314 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.315 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.315 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.315 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.315 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.315 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.315 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 1546937661.315 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.315 * [misc]backup-simplify: Simplify 2 into 2 1546937661.315 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 1546937661.315 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.315 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.316 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.316 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.316 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.316 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.316 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.316 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.316 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.316 * [misc]backup-simplify: Simplify 0 into 0 1546937661.316 * [misc]backup-simplify: Simplify 1 into 1 1546937661.317 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.317 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.317 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.317 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.317 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.318 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.318 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.319 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.319 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.319 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.320 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.320 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.321 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.321 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.322 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.322 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.322 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.322 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.323 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.324 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 1546937661.324 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 1546937661.324 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.324 * [misc]backup-simplify: Simplify 0 into 0 1546937661.324 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.325 * [misc]backup-simplify: Simplify 0 into 0 1546937661.325 * [misc]backup-simplify: Simplify 0 into 0 1546937661.325 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.325 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.325 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.325 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.325 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.326 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.327 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.327 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.327 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.327 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.328 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.329 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.330 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.330 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.330 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.330 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.331 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.332 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.332 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.332 * [misc]backup-simplify: Simplify 0 into 0 1546937661.332 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.332 * [misc]backup-simplify: Simplify 0 into 0 1546937661.332 * [misc]backup-simplify: Simplify 0 into 0 1546937661.332 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.333 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.334 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.334 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.334 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.335 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.335 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.336 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.336 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.336 * [misc]backup-simplify: Simplify 0 into 0 1546937661.336 * [misc]backup-simplify: Simplify 0 into 0 1546937661.337 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.338 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.338 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.338 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.339 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.339 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.339 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.340 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.340 * [misc]backup-simplify: Simplify 0 into 0 1546937661.341 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1546937661.341 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.341 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.341 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.341 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) (/ 1 lambda2)) (* 0 -1))) into (/ 1 (pow lambda2 2)) 1546937661.343 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.343 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.343 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.343 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.343 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.344 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.345 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.345 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.345 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.345 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.346 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.346 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937661.348 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) 1546937661.348 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.348 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 1546937661.349 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) 1546937661.349 * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 1546937661.349 * [misc]taylor: Taking taylor expansion of -1/9 in lambda2 1546937661.349 * [misc]backup-simplify: Simplify -1/9 into -1/9 1546937661.349 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 1546937661.349 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 1546937661.349 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 1546937661.349 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.349 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.349 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 1546937661.349 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 1546937661.349 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.349 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.349 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.350 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937661.350 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.350 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.350 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.350 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.350 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.350 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.350 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.350 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.350 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.350 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.350 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.350 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.350 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.350 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.350 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.351 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.351 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.351 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.351 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.352 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.352 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 1546937661.352 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.352 * [misc]backup-simplify: Simplify 2 into 2 1546937661.352 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 1546937661.352 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.352 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.352 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.352 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.352 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.352 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.352 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.353 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.353 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937661.353 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.353 * [misc]backup-simplify: Simplify 0 into 0 1546937661.353 * [misc]backup-simplify: Simplify 1 into 1 1546937661.353 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.353 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.354 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.354 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.354 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.354 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.354 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.354 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.355 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.356 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.356 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.356 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.356 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.356 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.357 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.357 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.357 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.357 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.358 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.358 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.358 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.359 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.359 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.359 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.359 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.360 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.360 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.360 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.360 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.360 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.361 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 1546937661.362 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 1546937661.362 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 1546937661.362 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.363 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.363 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 1546937661.364 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546937661.364 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.365 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.365 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937661.366 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 1546937661.366 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.366 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 1546937661.367 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.367 * [misc]backup-simplify: Simplify 0 into 0 1546937661.367 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.367 * [misc]backup-simplify: Simplify 0 into 0 1546937661.367 * [misc]backup-simplify: Simplify 0 into 0 1546937661.367 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.368 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.368 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.368 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.368 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.368 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.369 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.369 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.369 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.369 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.369 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.370 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 1546937661.371 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 1546937661.372 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 1546937661.372 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.372 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.372 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 1546937661.373 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546937661.374 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.374 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 1546937661.374 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.374 * [misc]backup-simplify: Simplify 0 into 0 1546937661.374 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.374 * [misc]backup-simplify: Simplify 0 into 0 1546937661.374 * [misc]backup-simplify: Simplify 0 into 0 1546937661.374 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1)))))) 1546937661.374 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1 2) 1546937661.375 * [misc]backup-simplify: Simplify (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 1546937661.375 * [misc]approximate: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 1546937661.375 * [misc]taylor: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi2 1546937661.375 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi2 1546937661.375 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi2 1546937661.375 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.375 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.375 * [misc]taylor: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi2 1546937661.375 * [misc]taylor: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 1546937661.375 * [misc]taylor: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2 1546937661.375 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 1546937661.375 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937661.375 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.375 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.375 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.375 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) 1546937661.375 * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1546937661.375 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 1546937661.375 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1546937661.375 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1546937661.375 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.375 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 1546937661.375 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937661.375 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.375 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.375 * [misc]backup-simplify: Simplify 0 into 0 1546937661.375 * [misc]backup-simplify: Simplify 1 into 1 1546937661.375 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 1546937661.375 * [misc]backup-simplify: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1546937661.375 * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1546937661.375 * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1546937661.375 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 1546937661.375 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 1546937661.376 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.376 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 1546937661.376 * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2) 1546937661.376 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 1546937661.376 * [misc]backup-simplify: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1546937661.376 * [misc]backup-simplify: Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) 1546937661.376 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) 1546937661.376 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3) 1546937661.376 * [misc]taylor: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi1 1546937661.376 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi1 1546937661.376 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi1 1546937661.376 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.376 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.376 * [misc]taylor: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1 1546937661.376 * [misc]taylor: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1546937661.376 * [misc]taylor: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi1 1546937661.376 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 1546937661.376 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937661.376 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.376 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937661.376 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.377 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) 1546937661.377 * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1546937661.377 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937661.377 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937661.377 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937661.377 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937661.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.377 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937661.377 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.377 * [misc]backup-simplify: Simplify 0 into 0 1546937661.377 * [misc]backup-simplify: Simplify 1 into 1 1546937661.377 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.377 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.377 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937661.377 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937661.377 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937661.377 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937661.377 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937661.377 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937661.377 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.377 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937661.377 * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2) 1546937661.377 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937661.377 * [misc]backup-simplify: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1546937661.377 * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) 1546937661.378 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) 1546937661.378 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) 1546937661.378 * [misc]taylor: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2 1546937661.378 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2 1546937661.378 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 1546937661.378 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.378 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.378 * [misc]taylor: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 1546937661.378 * [misc]taylor: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937661.378 * [misc]taylor: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda2 1546937661.378 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 1546937661.378 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.378 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.378 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.378 * [misc]backup-simplify: Simplify 0 into 0 1546937661.378 * [misc]backup-simplify: Simplify 1 into 1 1546937661.378 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.378 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 1546937661.378 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937661.378 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937661.378 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937661.378 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.378 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.378 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937661.378 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.379 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.379 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.379 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.379 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937661.379 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937661.379 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.379 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937661.379 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.379 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937661.379 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.379 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.379 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937661.379 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.379 * [misc]backup-simplify: Simplify (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1546937661.379 * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1546937661.380 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) 1546937661.380 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 1546937661.380 * [misc]taylor: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1 1546937661.380 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1 1546937661.380 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1 1546937661.380 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 1546937661.380 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.380 * [misc]taylor: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1 1546937661.380 * [misc]taylor: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 1546937661.380 * [misc]taylor: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 1546937661.380 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1546937661.380 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.380 * [misc]backup-simplify: Simplify 0 into 0 1546937661.380 * [misc]backup-simplify: Simplify 1 into 1 1546937661.380 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.380 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.380 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) 1546937661.380 * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) 1546937661.380 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1546937661.380 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1546937661.380 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1546937661.380 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937661.380 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.380 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 1546937661.380 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.380 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.380 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.380 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.380 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937661.380 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937661.380 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.380 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937661.380 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.381 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937661.381 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.381 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.381 * [misc]backup-simplify: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 1546937661.381 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.381 * [misc]backup-simplify: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937661.381 * [misc]backup-simplify: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1546937661.381 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1546937661.381 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 1546937661.381 * [misc]taylor: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1 1546937661.381 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1 1546937661.381 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1 1546937661.381 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 1546937661.381 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.381 * [misc]taylor: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1 1546937661.381 * [misc]taylor: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 1546937661.381 * [misc]taylor: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 1546937661.382 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1546937661.382 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.382 * [misc]backup-simplify: Simplify 0 into 0 1546937661.382 * [misc]backup-simplify: Simplify 1 into 1 1546937661.382 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.382 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.382 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) 1546937661.382 * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) 1546937661.382 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1546937661.382 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1546937661.382 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1546937661.382 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937661.382 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.382 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 1546937661.382 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.382 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.382 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.382 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.382 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937661.382 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937661.382 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.382 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937661.382 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.382 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937661.382 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.382 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.382 * [misc]backup-simplify: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 1546937661.382 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.383 * [misc]backup-simplify: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937661.383 * [misc]backup-simplify: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1546937661.383 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1546937661.383 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 1546937661.383 * [misc]taylor: Taking taylor expansion of (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2 1546937661.383 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2 1546937661.383 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 1546937661.383 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.383 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.383 * [misc]taylor: Taking taylor expansion of (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 1546937661.383 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937661.383 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937661.383 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.383 * [misc]backup-simplify: Simplify 0 into 0 1546937661.383 * [misc]backup-simplify: Simplify 1 into 1 1546937661.383 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937661.383 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937661.383 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937661.383 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.383 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937661.383 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.383 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.383 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.383 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.383 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937661.383 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937661.383 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.384 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937661.384 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.384 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937661.384 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.384 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.384 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.384 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.384 * [misc]backup-simplify: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.384 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937661.384 * [misc]backup-simplify: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) 1546937661.385 * [misc]backup-simplify: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) 1546937661.385 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) 1546937661.385 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) in phi1 1546937661.385 * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) in phi1 1546937661.385 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.385 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.385 * [misc]taylor: Taking taylor expansion of (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) in phi1 1546937661.385 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1546937661.385 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937661.385 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937661.385 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937661.385 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937661.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.385 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937661.385 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.385 * [misc]backup-simplify: Simplify 0 into 0 1546937661.385 * [misc]backup-simplify: Simplify 1 into 1 1546937661.385 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.385 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.385 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937661.385 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937661.385 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937661.385 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937661.385 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937661.385 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937661.385 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.385 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937661.385 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937661.386 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 1546937661.386 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda2)) in phi1 1546937661.386 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937661.386 * [misc]backup-simplify: Simplify 2 into 2 1546937661.386 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi1 1546937661.386 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937661.386 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.386 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.386 * [misc]backup-simplify: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 1546937661.386 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) into (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) 1546937661.386 * [misc]backup-simplify: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) 1546937661.386 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) 1546937661.386 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 1546937661.386 * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 1546937661.386 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.386 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.386 * [misc]taylor: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 1546937661.386 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 1546937661.386 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937661.386 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937661.386 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937661.386 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.386 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.386 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.386 * [misc]backup-simplify: Simplify 0 into 0 1546937661.386 * [misc]backup-simplify: Simplify 1 into 1 1546937661.386 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937661.386 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937661.387 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.387 * [misc]backup-simplify: Simplify (log 1) into 0 1546937661.387 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda2)) in phi2 1546937661.387 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937661.387 * [misc]backup-simplify: Simplify 2 into 2 1546937661.387 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 1546937661.387 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.387 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.387 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.387 * [misc]backup-simplify: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 1546937661.387 * [misc]backup-simplify: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) 1546937661.387 * [misc]backup-simplify: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) 1546937661.387 * [misc]backup-simplify: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) 1546937661.387 * [misc]backup-simplify: Simplify (pow lambda2 2/3) into (pow lambda2 2/3) 1546937661.387 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.387 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937661.388 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.388 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937661.388 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.389 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937661.389 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.389 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.389 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937661.389 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.389 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.389 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 1) (* 1 (- lambda2))) into (- (* 2 lambda2)) 1546937661.389 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) 0) (* (- (* 2 lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1546937661.390 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 1) into (/ -2 lambda2) 1546937661.390 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda2))) 1546937661.390 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) 1546937661.390 * [misc]taylor: Taking taylor expansion of (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) in lambda2 1546937661.390 * [misc]taylor: Taking taylor expansion of -2/3 in lambda2 1546937661.390 * [misc]backup-simplify: Simplify -2/3 into -2/3 1546937661.390 * [misc]taylor: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3) in lambda2 1546937661.390 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) in lambda2 1546937661.390 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) in lambda2 1546937661.390 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.390 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.390 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)) in lambda2 1546937661.390 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2 1546937661.390 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937661.390 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937661.390 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937661.390 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.390 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.390 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937661.390 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.390 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.390 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.390 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.390 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937661.391 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937661.391 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.391 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937661.391 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.391 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937661.391 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.391 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.391 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.391 * [misc]backup-simplify: Simplify 0 into 0 1546937661.391 * [misc]backup-simplify: Simplify 1 into 1 1546937661.391 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.391 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.391 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937661.391 * [misc]backup-simplify: Simplify (+ (* (- 1) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) 1546937661.392 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) 1546937661.392 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) 1546937661.392 * [misc]backup-simplify: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) 1546937661.392 * [misc]taylor: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) in phi1 1546937661.392 * [misc]taylor: Taking taylor expansion of -2/3 in phi1 1546937661.392 * [misc]backup-simplify: Simplify -2/3 into -2/3 1546937661.392 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) in phi1 1546937661.392 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) in phi1 1546937661.392 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.392 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.392 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) in phi1 1546937661.392 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1546937661.392 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937661.392 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937661.392 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937661.392 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937661.392 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.392 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937661.392 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.392 * [misc]backup-simplify: Simplify 0 into 0 1546937661.392 * [misc]backup-simplify: Simplify 1 into 1 1546937661.392 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.392 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.392 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937661.392 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937661.392 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937661.392 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937661.392 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937661.392 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937661.393 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.393 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937661.393 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937661.393 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 1546937661.393 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi1 1546937661.393 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937661.393 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.393 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.393 * [misc]backup-simplify: Simplify (- (log lambda2)) into (- (log lambda2)) 1546937661.393 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (log lambda2))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) 1546937661.393 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) 1546937661.393 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) 1546937661.393 * [misc]backup-simplify: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) 1546937661.393 * [misc]taylor: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) in phi2 1546937661.393 * [misc]taylor: Taking taylor expansion of -2/3 in phi2 1546937661.393 * [misc]backup-simplify: Simplify -2/3 into -2/3 1546937661.393 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) in phi2 1546937661.393 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) in phi2 1546937661.393 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.393 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.393 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) in phi2 1546937661.393 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 1546937661.393 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937661.393 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937661.393 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937661.393 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.393 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.393 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.394 * [misc]backup-simplify: Simplify 0 into 0 1546937661.394 * [misc]backup-simplify: Simplify 1 into 1 1546937661.394 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937661.394 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937661.394 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.394 * [misc]backup-simplify: Simplify (log 1) into 0 1546937661.394 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 1546937661.394 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.394 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.394 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.394 * [misc]backup-simplify: Simplify (- (log lambda2)) into (- (log lambda2)) 1546937661.394 * [misc]backup-simplify: Simplify (+ 0 (- (log lambda2))) into (- (log lambda2)) 1546937661.394 * [misc]backup-simplify: Simplify (* 1/3 (- (log lambda2))) into (* -1/3 (log lambda2)) 1546937661.394 * [misc]backup-simplify: Simplify (exp (* -1/3 (log lambda2))) into (pow lambda2 -1/3) 1546937661.394 * [misc]backup-simplify: Simplify (* -2/3 (pow lambda2 -1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) 1546937661.394 * [misc]backup-simplify: Simplify (* -2/3 (pow (/ 1 lambda2) 1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) 1546937661.395 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.395 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937661.395 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.395 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937661.396 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.396 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937661.396 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.396 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.396 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937661.396 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937661.397 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 1546937661.397 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1)))) 1) into 0 1546937661.397 * [misc]backup-simplify: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) 1546937661.397 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into 0 1546937661.398 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.398 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.398 * [misc]backup-simplify: Simplify 0 into 0 1546937661.398 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.398 * [misc]backup-simplify: Simplify 0 into 0 1546937661.398 * [misc]backup-simplify: Simplify 0 into 0 1546937661.399 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.399 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 1546937661.399 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.399 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 1546937661.400 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937661.400 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 1546937661.400 * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937661.400 * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937661.400 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 1546937661.400 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) 1)) (pow (pow (cos (* 1/2 phi2)) 2) 1)))) 1) into (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 1546937661.401 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 1546937661.401 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 1546937661.401 * [misc]backup-simplify: Simplify (+ (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 0) into (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 1546937661.401 * [misc]backup-simplify: Simplify (+ (* 1/3 (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) (* 0 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 1546937661.402 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 1) 1)))) into (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) 1546937661.402 * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) in phi2 1546937661.402 * [misc]taylor: Taking taylor expansion of -1/3 in phi2 1546937661.402 * [misc]backup-simplify: Simplify -1/3 into -1/3 1546937661.402 * [misc]taylor: Taking taylor expansion of (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2))) in phi2 1546937661.402 * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) in phi2 1546937661.402 * [misc]taylor: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 1546937661.402 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937661.402 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.402 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.402 * [misc]backup-simplify: Simplify 0 into 0 1546937661.402 * [misc]backup-simplify: Simplify 1 into 1 1546937661.402 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937661.402 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937661.402 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 1546937661.402 * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 1546937661.402 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.402 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.402 * [misc]taylor: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 1546937661.402 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 1546937661.402 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937661.402 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937661.402 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937661.402 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.402 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.402 * [misc]backup-simplify: Simplify 0 into 0 1546937661.402 * [misc]backup-simplify: Simplify 1 into 1 1546937661.403 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937661.403 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937661.403 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.403 * [misc]backup-simplify: Simplify (log 1) into 0 1546937661.403 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda2)) in phi2 1546937661.403 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937661.403 * [misc]backup-simplify: Simplify 2 into 2 1546937661.403 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 1546937661.403 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.403 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.403 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.403 * [misc]backup-simplify: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 1546937661.403 * [misc]backup-simplify: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) 1546937661.403 * [misc]backup-simplify: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) 1546937661.403 * [misc]backup-simplify: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) 1546937661.403 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937661.403 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937661.403 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.403 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.403 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.403 * [misc]backup-simplify: Simplify 0 into 0 1546937661.404 * [misc]backup-simplify: Simplify 1 into 1 1546937661.404 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937661.404 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937661.404 * [misc]backup-simplify: Simplify (* 0 (pow lambda2 2/3)) into 0 1546937661.404 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.404 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937661.407 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546937661.408 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 1546937661.408 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 1546937661.408 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.408 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 1546937661.409 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.410 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937661.411 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (pow lambda2 2/3))) into (* 1/2 (pow (pow lambda2 2) 1/3)) 1546937661.411 * [misc]backup-simplify: Simplify (/ (* 1/2 (pow (pow lambda2 2) 1/3)) 1) into (* 1/2 (pow (pow lambda2 2) 1/3)) 1546937661.411 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.411 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937661.414 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546937661.414 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 1546937661.415 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 1546937661.415 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.415 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 1546937661.417 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.417 * [misc]backup-simplify: Simplify 0 into 0 1546937661.419 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.419 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.419 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.419 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 1546937661.420 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.421 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.421 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.421 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.421 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 1546937661.422 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.422 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.422 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (+ (* 1 1) (* 0 (- lambda2)))) into 1 1546937661.422 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) 0) (+ (* (- (* 2 lambda2)) 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.424 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 2)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 2) into (/ -1 (pow lambda2 2)) 1546937661.424 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 1546937661.425 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) 1546937661.425 * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) in lambda2 1546937661.425 * [misc]taylor: Taking taylor expansion of -1/9 in lambda2 1546937661.425 * [misc]backup-simplify: Simplify -1/9 into -1/9 1546937661.425 * [misc]taylor: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3) in lambda2 1546937661.425 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))))) in lambda2 1546937661.425 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)))) in lambda2 1546937661.425 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.425 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.425 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))) in lambda2 1546937661.425 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) in lambda2 1546937661.425 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937661.425 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937661.425 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937661.425 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.425 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.425 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937661.425 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.425 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.425 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.425 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.425 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937661.425 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937661.425 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.426 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937661.426 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.426 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937661.426 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.426 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.426 * [misc]taylor: Taking taylor expansion of (pow lambda2 4) in lambda2 1546937661.426 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.426 * [misc]backup-simplify: Simplify 0 into 0 1546937661.426 * [misc]backup-simplify: Simplify 1 into 1 1546937661.426 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.427 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.427 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.427 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.427 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937661.427 * [misc]backup-simplify: Simplify (+ (* (- 4) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) 1546937661.428 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) 1546937661.428 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) 1546937661.428 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) 1546937661.428 * [misc]taylor: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) in phi1 1546937661.428 * [misc]taylor: Taking taylor expansion of -1/9 in phi1 1546937661.428 * [misc]backup-simplify: Simplify -1/9 into -1/9 1546937661.428 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) in phi1 1546937661.428 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) in phi1 1546937661.428 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.428 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.428 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) in phi1 1546937661.429 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1546937661.429 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937661.429 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937661.429 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937661.429 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937661.429 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.429 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937661.429 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.429 * [misc]backup-simplify: Simplify 0 into 0 1546937661.429 * [misc]backup-simplify: Simplify 1 into 1 1546937661.429 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.429 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.429 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937661.429 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937661.429 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937661.429 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937661.429 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937661.429 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937661.429 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.430 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937661.430 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937661.430 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 1546937661.430 * [misc]taylor: Taking taylor expansion of (* 4 (log lambda2)) in phi1 1546937661.430 * [misc]taylor: Taking taylor expansion of 4 in phi1 1546937661.430 * [misc]backup-simplify: Simplify 4 into 4 1546937661.430 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi1 1546937661.430 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937661.430 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.430 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.430 * [misc]backup-simplify: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) 1546937661.430 * [misc]backup-simplify: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) 1546937661.430 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (* 4 (log lambda2)))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) 1546937661.431 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) 1546937661.431 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) 1546937661.431 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) 1546937661.431 * [misc]taylor: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) in phi2 1546937661.431 * [misc]taylor: Taking taylor expansion of -1/9 in phi2 1546937661.431 * [misc]backup-simplify: Simplify -1/9 into -1/9 1546937661.431 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) in phi2 1546937661.431 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) in phi2 1546937661.431 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.431 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.431 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) in phi2 1546937661.431 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 1546937661.431 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937661.431 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937661.431 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937661.431 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.432 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.432 * [misc]backup-simplify: Simplify 0 into 0 1546937661.432 * [misc]backup-simplify: Simplify 1 into 1 1546937661.432 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937661.432 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937661.432 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.432 * [misc]backup-simplify: Simplify (log 1) into 0 1546937661.432 * [misc]taylor: Taking taylor expansion of (* 4 (log lambda2)) in phi2 1546937661.432 * [misc]taylor: Taking taylor expansion of 4 in phi2 1546937661.432 * [misc]backup-simplify: Simplify 4 into 4 1546937661.432 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 1546937661.433 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.433 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.433 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.433 * [misc]backup-simplify: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) 1546937661.433 * [misc]backup-simplify: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) 1546937661.433 * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (log lambda2)))) into (- (* 4 (log lambda2))) 1546937661.433 * [misc]backup-simplify: Simplify (* 1/3 (- (* 4 (log lambda2)))) into (* -4/3 (log lambda2)) 1546937661.433 * [misc]backup-simplify: Simplify (exp (* -4/3 (log lambda2))) into (pow lambda2 -4/3) 1546937661.433 * [misc]backup-simplify: Simplify (* -1/9 (pow lambda2 -4/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) 1546937661.433 * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) 1546937661.434 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) (pow (* 1 (* 1 (* 1 lambda1))) 2)) (+ (* (* -2/3 (pow (/ 1 lambda2) 1/3)) (* 1 (* 1 (* 1 lambda1)))) (pow lambda2 2/3))) into (- (pow lambda2 2/3) (+ (* 2/3 (* (pow (/ 1 lambda2) 1/3) lambda1)) (* 1/9 (* (pow (/ 1 (pow lambda2 4)) 1/3) (pow lambda1 2))))) 1546937661.435 * [misc]backup-simplify: Simplify (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 1546937661.435 * [misc]approximate: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 1546937661.435 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi2 1546937661.435 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi2 1546937661.435 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi2 1546937661.435 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.435 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.435 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi2 1546937661.435 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi2 1546937661.435 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937661.435 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937661.435 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937661.435 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.436 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937661.436 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937661.436 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937661.436 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.436 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.436 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937661.436 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.436 * [misc]backup-simplify: Simplify 0 into 0 1546937661.436 * [misc]backup-simplify: Simplify 1 into 1 1546937661.436 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.436 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937661.436 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937661.437 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.437 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi2 1546937661.437 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 1546937661.437 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 1546937661.437 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937661.437 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.437 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937661.437 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 1546937661.437 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.437 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.437 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.437 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1546937661.437 * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1546937661.438 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.438 * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) 1546937661.438 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1546937661.438 * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) 1546937661.439 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) 1546937661.439 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 1546937661.439 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi1 1546937661.439 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi1 1546937661.439 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi1 1546937661.439 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.439 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.439 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi1 1546937661.439 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi1 1546937661.440 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937661.440 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937661.440 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937661.440 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937661.440 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.440 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937661.440 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937661.440 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.440 * [misc]backup-simplify: Simplify 0 into 0 1546937661.440 * [misc]backup-simplify: Simplify 1 into 1 1546937661.440 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.440 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937661.440 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.440 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.440 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.440 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.441 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937661.441 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.441 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi1 1546937661.441 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 1546937661.441 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 1546937661.441 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937661.441 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.441 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937661.441 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 1546937661.441 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937661.441 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.441 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.441 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1546937661.441 * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1546937661.442 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.442 * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) 1546937661.442 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1546937661.443 * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) 1546937661.443 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) 1546937661.443 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 1546937661.443 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda2 1546937661.444 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda2 1546937661.444 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda2 1546937661.444 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.444 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.444 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda2 1546937661.444 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 1546937661.444 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.444 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.444 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.444 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.444 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.444 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.444 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.444 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.444 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.444 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.444 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.444 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.444 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.444 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.444 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.445 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.445 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.445 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.445 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.445 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.446 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.446 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda2 1546937661.446 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1546937661.446 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 1546937661.446 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.446 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.446 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937661.446 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 1546937661.446 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.446 * [misc]backup-simplify: Simplify 0 into 0 1546937661.446 * [misc]backup-simplify: Simplify 1 into 1 1546937661.446 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.446 * [misc]backup-simplify: Simplify (- 1) into -1 1546937661.446 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1546937661.447 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.447 * [misc]backup-simplify: Simplify (* -1 -1) into 1 1546937661.447 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.447 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.447 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 1546937661.448 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 1546937661.448 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 1546937661.448 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1 1546937661.448 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1 1546937661.448 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1 1546937661.448 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 1546937661.448 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.448 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1 1546937661.448 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 1546937661.448 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937661.448 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937661.448 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937661.448 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937661.448 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.448 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937661.448 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937661.448 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.448 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.448 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.448 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937661.448 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.448 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.448 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.448 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.448 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.448 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.449 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.449 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.449 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.449 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.449 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.449 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 1546937661.449 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1546937661.449 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 1546937661.449 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.449 * [misc]backup-simplify: Simplify 0 into 0 1546937661.449 * [misc]backup-simplify: Simplify 1 into 1 1546937661.449 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.449 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 1546937661.449 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.449 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.449 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.449 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.450 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.450 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.450 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.450 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.450 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.450 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.451 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.451 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1 1546937661.451 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1 1546937661.451 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1 1546937661.451 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 1546937661.451 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.451 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1 1546937661.451 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 1546937661.451 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937661.451 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937661.451 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937661.451 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937661.451 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.451 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937661.451 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937661.451 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.451 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.451 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.451 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937661.451 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.451 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.451 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.451 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.451 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.451 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.451 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.451 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.452 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.452 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.452 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.452 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 1546937661.452 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1546937661.452 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 1546937661.452 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.452 * [misc]backup-simplify: Simplify 0 into 0 1546937661.452 * [misc]backup-simplify: Simplify 1 into 1 1546937661.452 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.452 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 1546937661.452 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.452 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.452 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.452 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.452 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.453 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.453 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.453 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.453 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.453 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.453 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.453 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 1546937661.453 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 1546937661.453 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.454 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.454 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 1546937661.454 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 1546937661.454 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.454 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.454 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.454 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.454 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.454 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.454 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.454 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.454 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.454 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.454 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.454 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.454 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.454 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.454 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.454 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.454 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.454 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.454 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.454 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.454 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.455 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.455 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.455 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.455 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 1546937661.455 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.455 * [misc]backup-simplify: Simplify 2 into 2 1546937661.455 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 1546937661.455 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.455 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.455 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.455 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.455 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.455 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.455 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.456 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.456 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 1546937661.456 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 1546937661.456 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.456 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.456 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 1546937661.456 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 1546937661.456 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937661.456 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937661.456 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937661.456 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937661.456 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.456 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937661.456 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937661.456 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.456 * [misc]backup-simplify: Simplify 0 into 0 1546937661.456 * [misc]backup-simplify: Simplify 1 into 1 1546937661.456 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.456 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937661.456 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.456 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.456 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.456 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.457 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937661.457 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.457 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.457 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.457 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi1 1546937661.457 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937661.457 * [misc]backup-simplify: Simplify 2 into 2 1546937661.457 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi1 1546937661.457 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937661.457 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.457 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.457 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.457 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.457 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.457 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.458 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.458 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 1546937661.458 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 1546937661.458 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.458 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.458 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 1546937661.458 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 1546937661.458 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937661.458 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937661.458 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937661.458 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.458 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.458 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937661.458 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937661.458 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937661.458 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.458 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.458 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937661.458 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.458 * [misc]backup-simplify: Simplify 0 into 0 1546937661.458 * [misc]backup-simplify: Simplify 1 into 1 1546937661.458 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.458 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937661.458 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937661.458 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.459 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.459 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.459 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi2 1546937661.459 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937661.459 * [misc]backup-simplify: Simplify 2 into 2 1546937661.459 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi2 1546937661.459 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937661.459 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.459 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.459 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.459 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.459 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.459 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.459 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.460 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.460 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937661.460 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1546937661.460 * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) 1546937661.460 * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 lambda2))) (* (- (/ 1 lambda2)) 1)) into (- (* 2 (/ 1 lambda2))) 1546937661.460 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.460 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.460 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.461 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.461 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.461 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.462 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.462 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.462 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.462 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.462 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.462 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937661.463 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 1546937661.463 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.463 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 1546937661.464 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 1546937661.464 * [misc]taylor: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 1546937661.464 * [misc]taylor: Taking taylor expansion of -2/3 in lambda2 1546937661.464 * [misc]backup-simplify: Simplify -2/3 into -2/3 1546937661.464 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 1546937661.464 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 1546937661.464 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 1546937661.464 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.464 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.464 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 1546937661.464 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 1546937661.464 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.464 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.464 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.464 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.464 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.464 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.464 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.464 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.464 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.464 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.464 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.464 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.464 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.464 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.464 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.464 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.465 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.465 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.465 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.465 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.465 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.465 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.465 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.465 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.466 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 1546937661.466 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.466 * [misc]backup-simplify: Simplify 2 into 2 1546937661.466 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 1546937661.466 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.466 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.466 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.466 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.466 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.466 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.466 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.466 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.466 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.466 * [misc]backup-simplify: Simplify 0 into 0 1546937661.466 * [misc]backup-simplify: Simplify 1 into 1 1546937661.466 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.467 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.467 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.467 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.467 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.467 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.467 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.468 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.468 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.469 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.469 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.469 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.469 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.470 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.470 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.470 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.470 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.470 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.471 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.472 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 1546937661.472 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 1546937661.472 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.472 * [misc]backup-simplify: Simplify 0 into 0 1546937661.472 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.472 * [misc]backup-simplify: Simplify 0 into 0 1546937661.472 * [misc]backup-simplify: Simplify 0 into 0 1546937661.472 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.472 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.472 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.472 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.473 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.473 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.473 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.474 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.474 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.474 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.474 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.475 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.475 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.475 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.475 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.475 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.476 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.477 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.477 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.477 * [misc]backup-simplify: Simplify 0 into 0 1546937661.477 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.477 * [misc]backup-simplify: Simplify 0 into 0 1546937661.477 * [misc]backup-simplify: Simplify 0 into 0 1546937661.477 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.477 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.478 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.478 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.478 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.478 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.478 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.479 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.479 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.479 * [misc]backup-simplify: Simplify 0 into 0 1546937661.479 * [misc]backup-simplify: Simplify 0 into 0 1546937661.480 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.480 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.481 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.481 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.481 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.481 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.481 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.482 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.482 * [misc]backup-simplify: Simplify 0 into 0 1546937661.482 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.482 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1546937661.482 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.482 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.483 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) (- (/ 1 lambda2))) (* 0 1))) into (/ 1 (pow lambda2 2)) 1546937661.483 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.484 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.484 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.484 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.484 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.484 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.485 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.485 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.485 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.485 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.485 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.486 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937661.487 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) 1546937661.487 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.487 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 1546937661.487 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) 1546937661.488 * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 1546937661.488 * [misc]taylor: Taking taylor expansion of -1/9 in lambda2 1546937661.488 * [misc]backup-simplify: Simplify -1/9 into -1/9 1546937661.488 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 1546937661.488 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 1546937661.488 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 1546937661.488 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.488 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.488 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 1546937661.488 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 1546937661.488 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.488 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.488 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.488 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.488 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.488 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.488 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.488 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.488 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.488 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.488 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.488 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.488 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.488 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.488 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.488 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.488 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.488 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.488 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.488 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.489 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.489 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.489 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.489 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.489 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 1546937661.489 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.489 * [misc]backup-simplify: Simplify 2 into 2 1546937661.489 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 1546937661.489 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.489 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.489 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.489 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.489 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.489 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.489 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.490 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.490 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937661.490 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.490 * [misc]backup-simplify: Simplify 0 into 0 1546937661.490 * [misc]backup-simplify: Simplify 1 into 1 1546937661.490 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.490 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.490 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.490 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.490 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.490 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.491 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.491 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.491 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.492 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.492 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.492 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.492 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.493 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.493 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.493 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.493 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.493 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.494 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.494 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.494 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.495 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.495 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.495 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.495 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.496 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.496 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.496 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.496 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.496 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.497 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 1546937661.498 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 1546937661.498 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 1546937661.499 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.499 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.499 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 1546937661.500 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546937661.500 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.501 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.501 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937661.502 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 1546937661.502 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.503 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 1546937661.503 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.503 * [misc]backup-simplify: Simplify 0 into 0 1546937661.503 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.503 * [misc]backup-simplify: Simplify 0 into 0 1546937661.503 * [misc]backup-simplify: Simplify 0 into 0 1546937661.503 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.504 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.504 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.504 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.504 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.504 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.505 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.505 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.505 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.505 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.506 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.507 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 1546937661.508 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 1546937661.508 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 1546937661.508 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.508 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.509 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 1546937661.511 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546937661.512 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.512 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 1546937661.512 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.512 * [misc]backup-simplify: Simplify 0 into 0 1546937661.512 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.513 * [misc]backup-simplify: Simplify 0 into 0 1546937661.513 * [misc]backup-simplify: Simplify 0 into 0 1546937661.513 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1)))))) 1546937661.514 * [misc]backup-simplify: Simplify (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 1546937661.514 * [misc]approximate: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 1546937661.514 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi2 1546937661.514 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi2 1546937661.514 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi2 1546937661.514 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.514 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.514 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi2 1546937661.514 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi2 1546937661.514 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937661.514 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937661.514 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937661.514 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937661.514 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.514 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937661.514 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937661.514 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937661.514 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.514 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.514 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937661.514 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.514 * [misc]backup-simplify: Simplify 0 into 0 1546937661.514 * [misc]backup-simplify: Simplify 1 into 1 1546937661.514 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.515 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937661.515 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937661.515 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.515 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi2 1546937661.515 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 1546937661.515 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 1546937661.515 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.515 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.515 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.515 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 1546937661.515 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937661.515 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.515 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937661.515 * [misc]backup-simplify: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1546937661.515 * [misc]backup-simplify: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1546937661.516 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.516 * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) 1546937661.516 * [misc]backup-simplify: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1546937661.517 * [misc]backup-simplify: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) 1546937661.517 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) 1546937661.517 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 1546937661.517 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi1 1546937661.517 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi1 1546937661.517 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi1 1546937661.517 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.518 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.518 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi1 1546937661.518 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi1 1546937661.518 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937661.518 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937661.518 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937661.518 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937661.518 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.518 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937661.518 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937661.518 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.518 * [misc]backup-simplify: Simplify 0 into 0 1546937661.518 * [misc]backup-simplify: Simplify 1 into 1 1546937661.518 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.518 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937661.518 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.518 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.518 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.518 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.519 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937661.519 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.519 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi1 1546937661.519 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 1546937661.519 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 1546937661.519 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937661.519 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.519 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.519 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 1546937661.519 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937661.519 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.519 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937661.519 * [misc]backup-simplify: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1546937661.519 * [misc]backup-simplify: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1546937661.520 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.520 * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) 1546937661.520 * [misc]backup-simplify: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1546937661.520 * [misc]backup-simplify: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) 1546937661.521 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) 1546937661.521 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 1546937661.521 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda2 1546937661.521 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda2 1546937661.521 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda2 1546937661.521 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.521 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.521 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda2 1546937661.521 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda2 1546937661.522 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.522 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.522 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.522 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937661.522 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.522 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.522 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.522 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.522 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.522 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.522 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.522 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.522 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.522 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.522 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.522 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.522 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.522 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.523 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.523 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.523 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.523 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.523 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda2 1546937661.523 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1546937661.523 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 1546937661.523 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.523 * [misc]backup-simplify: Simplify 0 into 0 1546937661.523 * [misc]backup-simplify: Simplify 1 into 1 1546937661.523 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.523 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 1546937661.524 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.524 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.524 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937661.524 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.524 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.524 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.524 * [misc]backup-simplify: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.525 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.525 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 1546937661.525 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 1546937661.526 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 1546937661.526 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1 1546937661.526 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1 1546937661.526 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1 1546937661.526 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 1546937661.526 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.526 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1 1546937661.526 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 1546937661.526 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937661.526 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937661.526 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937661.526 * [misc]taylor: Taking taylor expansion of -1/2 in lambda1 1546937661.526 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.526 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937661.526 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937661.526 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.526 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.526 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.526 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937661.526 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.526 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.526 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.527 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.527 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.527 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.527 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.527 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.527 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.527 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.528 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.528 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 1546937661.528 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1546937661.528 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 1546937661.528 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.528 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.528 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.528 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 1546937661.528 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.528 * [misc]backup-simplify: Simplify 0 into 0 1546937661.528 * [misc]backup-simplify: Simplify 1 into 1 1546937661.528 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.528 * [misc]backup-simplify: Simplify (- 1) into -1 1546937661.528 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1546937661.529 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.529 * [misc]backup-simplify: Simplify (* -1 -1) into 1 1546937661.529 * [misc]backup-simplify: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.529 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.530 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.530 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.530 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.530 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1 1546937661.530 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1 1546937661.530 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1 1546937661.530 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 1546937661.530 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.530 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1 1546937661.530 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 1546937661.530 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937661.530 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937661.530 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937661.530 * [misc]taylor: Taking taylor expansion of -1/2 in lambda1 1546937661.530 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.531 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937661.531 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937661.531 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.531 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.531 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.531 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937661.531 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.531 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.531 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.531 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.531 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.531 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.531 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.531 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.532 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.532 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.532 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.532 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 1546937661.532 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1546937661.532 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 1546937661.532 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.532 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.532 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.532 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 1546937661.532 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.532 * [misc]backup-simplify: Simplify 0 into 0 1546937661.532 * [misc]backup-simplify: Simplify 1 into 1 1546937661.532 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.533 * [misc]backup-simplify: Simplify (- 1) into -1 1546937661.533 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1546937661.533 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.533 * [misc]backup-simplify: Simplify (* -1 -1) into 1 1546937661.533 * [misc]backup-simplify: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.534 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.534 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.534 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.535 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.535 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 1546937661.535 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 1546937661.535 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.535 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.535 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 1546937661.535 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 1546937661.535 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.535 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.535 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.535 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937661.535 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.535 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.535 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.535 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.535 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.535 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.535 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.535 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.535 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.535 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.535 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.536 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.536 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.536 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.536 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.536 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.536 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.537 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.537 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.537 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.537 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 1546937661.537 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.537 * [misc]backup-simplify: Simplify 2 into 2 1546937661.537 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 1546937661.537 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.537 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.537 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.537 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.537 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.539 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.539 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.539 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.539 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 1546937661.540 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 1546937661.540 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.540 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.540 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 1546937661.540 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 1546937661.540 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937661.540 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937661.540 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937661.540 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937661.540 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.540 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937661.540 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937661.540 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.540 * [misc]backup-simplify: Simplify 0 into 0 1546937661.540 * [misc]backup-simplify: Simplify 1 into 1 1546937661.540 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.540 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937661.540 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.540 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.540 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.541 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.541 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937661.541 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.541 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.541 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.541 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi1 1546937661.541 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937661.541 * [misc]backup-simplify: Simplify 2 into 2 1546937661.541 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi1 1546937661.542 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937661.542 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.542 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.542 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.542 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.542 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.542 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.543 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.543 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 1546937661.543 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 1546937661.543 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.543 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.543 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 1546937661.543 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 1546937661.543 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937661.543 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937661.543 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937661.543 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937661.543 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.543 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937661.543 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937661.543 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937661.543 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.543 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.543 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937661.543 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.543 * [misc]backup-simplify: Simplify 0 into 0 1546937661.543 * [misc]backup-simplify: Simplify 1 into 1 1546937661.544 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.544 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937661.544 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937661.544 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.544 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.544 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.544 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi2 1546937661.545 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937661.545 * [misc]backup-simplify: Simplify 2 into 2 1546937661.545 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi2 1546937661.545 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937661.545 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.545 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.545 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.545 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.545 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.545 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.546 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.546 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.546 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937661.547 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.547 * [misc]backup-simplify: Simplify (+ (/ 1 lambda2) 0) into (/ 1 lambda2) 1546937661.547 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 lambda2)) (* (/ 1 lambda2) -1)) into (- (* 2 (/ 1 lambda2))) 1546937661.547 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.547 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.547 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.548 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.548 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.548 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.549 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.550 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.550 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.550 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.550 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.551 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937661.551 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 1546937661.552 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.552 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 1546937661.552 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 1546937661.552 * [misc]taylor: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 1546937661.553 * [misc]taylor: Taking taylor expansion of -2/3 in lambda2 1546937661.553 * [misc]backup-simplify: Simplify -2/3 into -2/3 1546937661.553 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 1546937661.553 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 1546937661.553 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 1546937661.553 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.553 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.553 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 1546937661.553 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 1546937661.553 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.553 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.553 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.553 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937661.553 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.553 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.553 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.553 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.553 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.553 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.553 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.553 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.553 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.553 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.553 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.553 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.554 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.554 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.554 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.554 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.554 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.554 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.555 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.555 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.555 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 1546937661.555 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.555 * [misc]backup-simplify: Simplify 2 into 2 1546937661.555 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 1546937661.555 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.555 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.555 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.555 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.555 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.555 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.556 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.556 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.556 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.556 * [misc]backup-simplify: Simplify 0 into 0 1546937661.556 * [misc]backup-simplify: Simplify 1 into 1 1546937661.556 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.557 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.557 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.557 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.557 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.557 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.558 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.559 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.559 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.559 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.560 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.560 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.561 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.562 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.562 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.562 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.562 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.563 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.564 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.564 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 1546937661.565 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 1546937661.565 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.565 * [misc]backup-simplify: Simplify 0 into 0 1546937661.565 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.565 * [misc]backup-simplify: Simplify 0 into 0 1546937661.565 * [misc]backup-simplify: Simplify 0 into 0 1546937661.565 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.566 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.566 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.566 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.566 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.566 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.568 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.568 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.568 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.568 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.569 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.570 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.570 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.571 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.572 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.572 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.572 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.574 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.574 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.574 * [misc]backup-simplify: Simplify 0 into 0 1546937661.574 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.574 * [misc]backup-simplify: Simplify 0 into 0 1546937661.574 * [misc]backup-simplify: Simplify 0 into 0 1546937661.574 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.575 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.575 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.576 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.576 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.576 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.577 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.578 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.578 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.578 * [misc]backup-simplify: Simplify 0 into 0 1546937661.578 * [misc]backup-simplify: Simplify 0 into 0 1546937661.578 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.579 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.580 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.580 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.580 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.581 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.581 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.582 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.582 * [misc]backup-simplify: Simplify 0 into 0 1546937661.582 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1546937661.582 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.582 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.583 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.583 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) (/ 1 lambda2)) (* 0 -1))) into (/ 1 (pow lambda2 2)) 1546937661.584 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.584 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.585 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.585 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.585 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.585 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.586 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.587 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.587 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.587 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.587 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.588 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937661.589 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) 1546937661.590 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.590 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 1546937661.591 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) 1546937661.591 * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 1546937661.591 * [misc]taylor: Taking taylor expansion of -1/9 in lambda2 1546937661.591 * [misc]backup-simplify: Simplify -1/9 into -1/9 1546937661.591 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 1546937661.591 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 1546937661.591 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 1546937661.591 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.591 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.591 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 1546937661.591 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 1546937661.591 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.591 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.591 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.591 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937661.591 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.591 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.591 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.591 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.591 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.592 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.592 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.592 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.592 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.592 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.592 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.592 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.592 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.592 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.592 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.592 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.593 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.593 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.593 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.593 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.593 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 1546937661.593 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.593 * [misc]backup-simplify: Simplify 2 into 2 1546937661.593 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 1546937661.593 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.593 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.593 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.594 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.594 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.594 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.594 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.594 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.594 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937661.594 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.594 * [misc]backup-simplify: Simplify 0 into 0 1546937661.594 * [misc]backup-simplify: Simplify 1 into 1 1546937661.595 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.595 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.595 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.596 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.596 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.596 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.596 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.596 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.597 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.598 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.598 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.598 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.598 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.599 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.600 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.600 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.600 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.600 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.601 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.602 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.602 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.602 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.602 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.602 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.603 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.604 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.604 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.604 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.604 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.605 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.606 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 1546937661.608 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 1546937661.608 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 1546937661.608 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.608 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.609 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 1546937661.611 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546937661.611 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.612 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.613 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937661.613 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 1546937661.614 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.614 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 1546937661.614 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.614 * [misc]backup-simplify: Simplify 0 into 0 1546937661.614 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.614 * [misc]backup-simplify: Simplify 0 into 0 1546937661.615 * [misc]backup-simplify: Simplify 0 into 0 1546937661.616 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.616 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.616 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.616 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.616 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.617 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.618 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.618 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.618 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.618 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.619 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.620 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 1546937661.622 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 1546937661.622 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 1546937661.622 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.622 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.623 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 1546937661.624 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546937661.625 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.626 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 1546937661.626 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.626 * [misc]backup-simplify: Simplify 0 into 0 1546937661.626 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.626 * [misc]backup-simplify: Simplify 0 into 0 1546937661.626 * [misc]backup-simplify: Simplify 0 into 0 1546937661.626 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1)))))) 1546937661.626 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1 1) 1546937661.627 * [misc]backup-simplify: Simplify (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 1546937661.627 * [misc]approximate: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 1546937661.627 * [misc]taylor: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi2 1546937661.627 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi2 1546937661.627 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi2 1546937661.627 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.627 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.627 * [misc]taylor: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi2 1546937661.627 * [misc]taylor: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi2 1546937661.627 * [misc]taylor: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi2 1546937661.627 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi2 1546937661.627 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937661.627 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.627 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.627 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.627 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) 1546937661.627 * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1546937661.627 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi2 1546937661.627 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi2 1546937661.627 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi2 1546937661.627 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.627 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.627 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi2 1546937661.627 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937661.627 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.627 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.627 * [misc]backup-simplify: Simplify 0 into 0 1546937661.627 * [misc]backup-simplify: Simplify 1 into 1 1546937661.627 * [misc]backup-simplify: Simplify (+ phi1 0) into phi1 1546937661.627 * [misc]backup-simplify: Simplify (* 1/2 phi1) into (* 1/2 phi1) 1546937661.628 * [misc]backup-simplify: Simplify (cos (* 1/2 phi1)) into (cos (* 1/2 phi1)) 1546937661.628 * [misc]backup-simplify: Simplify (sin (* 1/2 phi1)) into (sin (* 1/2 phi1)) 1546937661.628 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) 1) into (cos (* 1/2 phi1)) 1546937661.628 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi1)) 0) into 0 1546937661.628 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.628 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi1)) 0) into (cos (* 1/2 phi1)) 1546937661.628 * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2) 1546937661.628 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi1)) (cos (* 1/2 phi1))) into (pow (cos (* 1/2 phi1)) 2) 1546937661.628 * [misc]backup-simplify: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) into (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1546937661.629 * [misc]backup-simplify: Simplify (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) into (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))) 1546937661.629 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) into (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)))) 1546937661.629 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2))))) into (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi1)) 2)) 1/3) 1546937661.629 * [misc]taylor: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in phi1 1546937661.629 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in phi1 1546937661.629 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in phi1 1546937661.629 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.629 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.629 * [misc]taylor: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in phi1 1546937661.629 * [misc]taylor: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1546937661.629 * [misc]taylor: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in phi1 1546937661.629 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in phi1 1546937661.629 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937661.629 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.629 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937661.629 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.629 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) 1546937661.629 * [misc]backup-simplify: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1546937661.629 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937661.629 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937661.629 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937661.630 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937661.630 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.630 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937661.630 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.630 * [misc]backup-simplify: Simplify 0 into 0 1546937661.630 * [misc]backup-simplify: Simplify 1 into 1 1546937661.630 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.630 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.630 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937661.630 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937661.630 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937661.630 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937661.630 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937661.630 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937661.630 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.630 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937661.630 * [misc]backup-simplify: Simplify (* (- lambda1 lambda2) (- lambda1 lambda2)) into (pow (- lambda1 lambda2) 2) 1546937661.630 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937661.631 * [misc]backup-simplify: Simplify (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 phi2)) 2)) into (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1546937661.631 * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) into (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))) 1546937661.631 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)))) 1546937661.631 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2))))) into (pow (* (pow (cos (* 1/2 phi2)) 2) (pow (- lambda1 lambda2) 2)) 1/3) 1546937661.631 * [misc]taylor: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2 1546937661.631 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2 1546937661.631 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 1546937661.631 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.631 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.631 * [misc]taylor: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 1546937661.631 * [misc]taylor: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937661.631 * [misc]taylor: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda2 1546937661.632 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda2 1546937661.632 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.632 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.632 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.632 * [misc]backup-simplify: Simplify 0 into 0 1546937661.632 * [misc]backup-simplify: Simplify 1 into 1 1546937661.632 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.632 * [misc]backup-simplify: Simplify (+ lambda1 0) into lambda1 1546937661.632 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937661.632 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937661.632 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937661.632 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.632 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.632 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937661.632 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.632 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.632 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.632 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.632 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937661.632 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937661.632 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.632 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937661.632 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.633 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937661.633 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.633 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.633 * [misc]backup-simplify: Simplify (* lambda1 lambda1) into (pow lambda1 2) 1546937661.633 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.633 * [misc]backup-simplify: Simplify (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)) 1546937661.633 * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))) into (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1546937661.634 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2)))) 1546937661.634 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda1 2))))) into (pow (* (pow lambda1 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 1546937661.634 * [misc]taylor: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1 1546937661.634 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1 1546937661.634 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1 1546937661.634 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 1546937661.634 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.634 * [misc]taylor: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1 1546937661.634 * [misc]taylor: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 1546937661.634 * [misc]taylor: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 1546937661.634 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1546937661.634 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.634 * [misc]backup-simplify: Simplify 0 into 0 1546937661.634 * [misc]backup-simplify: Simplify 1 into 1 1546937661.634 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.634 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.634 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) 1546937661.634 * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) 1546937661.634 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1546937661.634 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1546937661.634 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1546937661.634 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937661.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.634 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 1546937661.634 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.634 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.634 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.634 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.635 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937661.635 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937661.635 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.635 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937661.635 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.635 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937661.635 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.635 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.635 * [misc]backup-simplify: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 1546937661.635 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.636 * [misc]backup-simplify: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937661.636 * [misc]backup-simplify: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1546937661.636 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1546937661.636 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 1546937661.636 * [misc]taylor: Taking taylor expansion of (pow (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda1 1546937661.636 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda1 1546937661.636 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda1 1546937661.636 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 1546937661.636 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.636 * [misc]taylor: Taking taylor expansion of (log (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda1 1546937661.636 * [misc]taylor: Taking taylor expansion of (* (pow (- lambda1 lambda2) 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda1 1546937661.636 * [misc]taylor: Taking taylor expansion of (pow (- lambda1 lambda2) 2) in lambda1 1546937661.636 * [misc]taylor: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1546937661.636 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.637 * [misc]backup-simplify: Simplify 0 into 0 1546937661.637 * [misc]backup-simplify: Simplify 1 into 1 1546937661.637 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.637 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.637 * [misc]backup-simplify: Simplify (- lambda2) into (- lambda2) 1546937661.637 * [misc]backup-simplify: Simplify (+ 0 (- lambda2)) into (- lambda2) 1546937661.637 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda1 1546937661.637 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda1 1546937661.637 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda1 1546937661.637 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937661.637 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.637 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda1 1546937661.637 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.637 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.637 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.637 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.637 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937661.637 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937661.637 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.637 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937661.637 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.637 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937661.638 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.638 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.638 * [misc]backup-simplify: Simplify (* (- lambda2) (- lambda2)) into (pow lambda2 2) 1546937661.638 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.638 * [misc]backup-simplify: Simplify (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937661.638 * [misc]backup-simplify: Simplify (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) 1546937661.638 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1546937661.639 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) 1546937661.639 * [misc]taylor: Taking taylor expansion of (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1/3) in lambda2 1546937661.639 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) in lambda2 1546937661.639 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) in lambda2 1546937661.639 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.639 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.639 * [misc]taylor: Taking taylor expansion of (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) in lambda2 1546937661.639 * [misc]taylor: Taking taylor expansion of (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in lambda2 1546937661.639 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937661.639 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.639 * [misc]backup-simplify: Simplify 0 into 0 1546937661.639 * [misc]backup-simplify: Simplify 1 into 1 1546937661.639 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937661.639 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937661.639 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937661.639 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.639 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.639 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937661.639 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.639 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.639 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.639 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.639 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937661.639 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937661.639 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.639 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937661.640 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.640 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937661.640 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.640 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.640 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.640 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.640 * [misc]backup-simplify: Simplify (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.641 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937661.641 * [misc]backup-simplify: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) 1546937661.641 * [misc]backup-simplify: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) 1546937661.641 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) 1546937661.642 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) in phi1 1546937661.642 * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2)))) in phi1 1546937661.642 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.642 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.642 * [misc]taylor: Taking taylor expansion of (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) in phi1 1546937661.642 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1546937661.642 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937661.642 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937661.642 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937661.642 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937661.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.642 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937661.642 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.642 * [misc]backup-simplify: Simplify 0 into 0 1546937661.642 * [misc]backup-simplify: Simplify 1 into 1 1546937661.642 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.642 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.642 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937661.642 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937661.642 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937661.642 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937661.642 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937661.642 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937661.642 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.643 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937661.643 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937661.643 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 1546937661.643 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda2)) in phi1 1546937661.643 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937661.643 * [misc]backup-simplify: Simplify 2 into 2 1546937661.643 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi1 1546937661.643 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937661.643 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.643 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.643 * [misc]backup-simplify: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 1546937661.643 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) into (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) 1546937661.643 * [misc]backup-simplify: Simplify (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) into (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) 1546937661.644 * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) 1546937661.644 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 1546937661.644 * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 1546937661.644 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.644 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.644 * [misc]taylor: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 1546937661.644 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 1546937661.644 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937661.644 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937661.644 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937661.644 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.644 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.644 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.644 * [misc]backup-simplify: Simplify 0 into 0 1546937661.644 * [misc]backup-simplify: Simplify 1 into 1 1546937661.644 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937661.644 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937661.644 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.644 * [misc]backup-simplify: Simplify (log 1) into 0 1546937661.645 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda2)) in phi2 1546937661.645 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937661.645 * [misc]backup-simplify: Simplify 2 into 2 1546937661.645 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 1546937661.645 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.645 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.645 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.645 * [misc]backup-simplify: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 1546937661.645 * [misc]backup-simplify: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) 1546937661.645 * [misc]backup-simplify: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) 1546937661.645 * [misc]backup-simplify: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) 1546937661.645 * [misc]backup-simplify: Simplify (pow lambda2 2/3) into (pow lambda2 2/3) 1546937661.645 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.645 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937661.646 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.646 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937661.647 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.647 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937661.647 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.647 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.648 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937661.648 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.648 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.648 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 1) (* 1 (- lambda2))) into (- (* 2 lambda2)) 1546937661.648 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) 0) (* (- (* 2 lambda2)) (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) 1546937661.649 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 1) into (/ -2 lambda2) 1546937661.649 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) into (- (* 2/3 (/ 1 lambda2))) 1546937661.650 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) 1546937661.650 * [misc]taylor: Taking taylor expansion of (* -2/3 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3)) in lambda2 1546937661.650 * [misc]taylor: Taking taylor expansion of -2/3 in lambda2 1546937661.650 * [misc]backup-simplify: Simplify -2/3 into -2/3 1546937661.650 * [misc]taylor: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) 1/3) in lambda2 1546937661.650 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)))) in lambda2 1546937661.650 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2))) in lambda2 1546937661.650 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.650 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.650 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2)) in lambda2 1546937661.650 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) lambda2) in lambda2 1546937661.650 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937661.650 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937661.650 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937661.650 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.650 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.650 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937661.650 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.650 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.650 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.650 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.650 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937661.650 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937661.650 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.650 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937661.650 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.651 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937661.651 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.651 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.651 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.651 * [misc]backup-simplify: Simplify 0 into 0 1546937661.651 * [misc]backup-simplify: Simplify 1 into 1 1546937661.651 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.651 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.651 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937661.652 * [misc]backup-simplify: Simplify (+ (* (- 1) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) 1546937661.652 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) 1546937661.652 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) 1546937661.652 * [misc]backup-simplify: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) 1546937661.652 * [misc]taylor: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))))) in phi1 1546937661.652 * [misc]taylor: Taking taylor expansion of -2/3 in phi1 1546937661.652 * [misc]backup-simplify: Simplify -2/3 into -2/3 1546937661.652 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)))) in phi1 1546937661.652 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2))) in phi1 1546937661.652 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.652 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.652 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (log lambda2)) in phi1 1546937661.652 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1546937661.652 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937661.652 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937661.652 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937661.653 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937661.653 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.653 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937661.653 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.653 * [misc]backup-simplify: Simplify 0 into 0 1546937661.653 * [misc]backup-simplify: Simplify 1 into 1 1546937661.653 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.653 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.653 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937661.653 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937661.653 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937661.653 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937661.653 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937661.653 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937661.653 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.653 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937661.653 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937661.653 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 1546937661.654 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi1 1546937661.654 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937661.654 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.654 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.654 * [misc]backup-simplify: Simplify (- (log lambda2)) into (- (log lambda2)) 1546937661.654 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (log lambda2))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) 1546937661.654 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) 1546937661.654 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) 1546937661.654 * [misc]backup-simplify: Simplify (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) into (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) 1546937661.654 * [misc]taylor: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))))) in phi2 1546937661.654 * [misc]taylor: Taking taylor expansion of -2/3 in phi2 1546937661.654 * [misc]backup-simplify: Simplify -2/3 into -2/3 1546937661.654 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)))) in phi2 1546937661.654 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2))) in phi2 1546937661.654 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.654 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.654 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (log lambda2)) in phi2 1546937661.655 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 1546937661.655 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937661.655 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937661.655 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937661.655 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.655 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.655 * [misc]backup-simplify: Simplify 0 into 0 1546937661.655 * [misc]backup-simplify: Simplify 1 into 1 1546937661.655 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937661.655 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937661.655 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.655 * [misc]backup-simplify: Simplify (log 1) into 0 1546937661.655 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 1546937661.655 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.655 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.655 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.656 * [misc]backup-simplify: Simplify (- (log lambda2)) into (- (log lambda2)) 1546937661.656 * [misc]backup-simplify: Simplify (+ 0 (- (log lambda2))) into (- (log lambda2)) 1546937661.656 * [misc]backup-simplify: Simplify (* 1/3 (- (log lambda2))) into (* -1/3 (log lambda2)) 1546937661.656 * [misc]backup-simplify: Simplify (exp (* -1/3 (log lambda2))) into (pow lambda2 -1/3) 1546937661.656 * [misc]backup-simplify: Simplify (* -2/3 (pow lambda2 -1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) 1546937661.656 * [misc]backup-simplify: Simplify (* -2/3 (pow (/ 1 lambda2) 1/3)) into (* -2/3 (pow (/ 1 lambda2) 1/3)) 1546937661.656 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.656 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 1)) into 0 1546937661.657 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.657 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ phi1 phi2))) into 0 1546937661.658 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.658 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (* 0 0)) into 0 1546937661.658 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.658 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.659 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (* 0 (cos (* 1/2 (+ phi1 phi2))))) into 0 1546937661.659 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937661.659 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into 0 1546937661.660 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1)))) 1) into 0 1546937661.660 * [misc]backup-simplify: Simplify (+ (* (- -2) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))) 1546937661.660 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) into 0 1546937661.662 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.662 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.662 * [misc]backup-simplify: Simplify 0 into 0 1546937661.662 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.662 * [misc]backup-simplify: Simplify 0 into 0 1546937661.662 * [misc]backup-simplify: Simplify 0 into 0 1546937661.662 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.662 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) 0) (* 0 1)) into 0 1546937661.662 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.663 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 phi2)) into 1/2 1546937661.663 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937661.664 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 phi2)) 1/2) (* 0 0)) into (* 1/2 (sin (* 1/2 phi2))) 1546937661.664 * [misc]backup-simplify: Simplify (- (* 1/2 (sin (* 1/2 phi2)))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937661.664 * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin (* 1/2 phi2))))) into (- (* 1/2 (sin (* 1/2 phi2)))) 1546937661.664 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 phi2)) (- (* 1/2 (sin (* 1/2 phi2))))) (* (- (* 1/2 (sin (* 1/2 phi2)))) (cos (* 1/2 phi2)))) into (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2)))))) 1546937661.665 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/2 (* (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) (* 1/2 (* (cos (* 1/2 phi2)) (sin (* 1/2 phi2))))))) 1)) (pow (pow (cos (* 1/2 phi2)) 2) 1)))) 1) into (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 1546937661.666 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 1546937661.666 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 1546937661.666 * [misc]backup-simplify: Simplify (+ (* -1 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 0) into (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2)))) 1546937661.666 * [misc]backup-simplify: Simplify (+ (* 1/3 (- (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) (* 0 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) into (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 1546937661.667 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) (+ (* (/ (pow (- (* 1/3 (/ (sin (* 1/2 phi2)) (cos (* 1/2 phi2))))) 1) 1)))) into (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) 1546937661.667 * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2)))) in phi2 1546937661.667 * [misc]taylor: Taking taylor expansion of -1/3 in phi2 1546937661.667 * [misc]backup-simplify: Simplify -1/3 into -1/3 1546937661.667 * [misc]taylor: Taking taylor expansion of (/ (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) (cos (* 1/2 phi2))) in phi2 1546937661.667 * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 phi2)) (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))))) in phi2 1546937661.667 * [misc]taylor: Taking taylor expansion of (sin (* 1/2 phi2)) in phi2 1546937661.667 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937661.667 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.667 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.667 * [misc]backup-simplify: Simplify 0 into 0 1546937661.667 * [misc]backup-simplify: Simplify 1 into 1 1546937661.667 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937661.667 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937661.667 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))))) in phi2 1546937661.667 * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2)))) in phi2 1546937661.668 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.668 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.668 * [misc]taylor: Taking taylor expansion of (+ (log (pow (cos (* 1/2 phi2)) 2)) (* 2 (log lambda2))) in phi2 1546937661.668 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 1546937661.668 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937661.668 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937661.668 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937661.668 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.668 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.668 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.668 * [misc]backup-simplify: Simplify 0 into 0 1546937661.668 * [misc]backup-simplify: Simplify 1 into 1 1546937661.668 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937661.668 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937661.668 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.668 * [misc]backup-simplify: Simplify (log 1) into 0 1546937661.668 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda2)) in phi2 1546937661.668 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937661.669 * [misc]backup-simplify: Simplify 2 into 2 1546937661.669 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 1546937661.669 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.669 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.669 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.669 * [misc]backup-simplify: Simplify (* 2 (log lambda2)) into (* 2 (log lambda2)) 1546937661.669 * [misc]backup-simplify: Simplify (+ 0 (* 2 (log lambda2))) into (* 2 (log lambda2)) 1546937661.669 * [misc]backup-simplify: Simplify (* 1/3 (* 2 (log lambda2))) into (* 2/3 (log lambda2)) 1546937661.669 * [misc]backup-simplify: Simplify (exp (* 2/3 (log lambda2))) into (pow lambda2 2/3) 1546937661.669 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937661.669 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937661.669 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.669 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.669 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.669 * [misc]backup-simplify: Simplify 0 into 0 1546937661.669 * [misc]backup-simplify: Simplify 1 into 1 1546937661.669 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937661.669 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937661.670 * [misc]backup-simplify: Simplify (* 0 (pow lambda2 2/3)) into 0 1546937661.670 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.670 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937661.672 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546937661.673 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 1546937661.673 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 1546937661.673 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.673 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 1546937661.674 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.675 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 1546937661.675 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/2 (pow lambda2 2/3))) into (* 1/2 (pow (pow lambda2 2) 1/3)) 1546937661.675 * [misc]backup-simplify: Simplify (/ (* 1/2 (pow (pow lambda2 2) 1/3)) 1) into (* 1/2 (pow (pow lambda2 2) 1/3)) 1546937661.676 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.676 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937661.678 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1546937661.679 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda2 1)))) 1) into 0 1546937661.679 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda2))) into 0 1546937661.679 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.679 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* 2 (log lambda2)))) into 0 1546937661.680 * [misc]backup-simplify: Simplify (* (exp (* 2/3 (log lambda2))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.680 * [misc]backup-simplify: Simplify 0 into 0 1546937661.681 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.681 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.682 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.682 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ phi1 phi2)))) into 0 1546937661.683 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.683 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.683 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.683 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.684 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ phi1 phi2))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ phi1 phi2)))))) into 0 1546937661.684 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.684 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.684 * [misc]backup-simplify: Simplify (+ (* (- lambda2) 0) (+ (* 1 1) (* 0 (- lambda2)))) into 1 1546937661.685 * [misc]backup-simplify: Simplify (+ (* (pow lambda2 2) 0) (+ (* (- (* 2 lambda2)) 0) (* 1 (pow (cos (* 1/2 (+ phi1 phi2))) 2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.685 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (* lambda2 (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) 2)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)) (pow (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1)))) 2) into (/ -1 (pow lambda2 2)) 1546937661.686 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 1546937661.686 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow lambda2 2) (pow (cos (* 1/2 (+ phi1 phi2))) 2))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) 1546937661.686 * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3)) in lambda2 1546937661.686 * [misc]taylor: Taking taylor expansion of -1/9 in lambda2 1546937661.687 * [misc]backup-simplify: Simplify -1/9 into -1/9 1546937661.687 * [misc]taylor: Taking taylor expansion of (pow (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) 1/3) in lambda2 1546937661.687 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))))) in lambda2 1546937661.687 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)))) in lambda2 1546937661.687 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.687 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.687 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4))) in lambda2 1546937661.687 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) (pow lambda2 4)) in lambda2 1546937661.687 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in lambda2 1546937661.687 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in lambda2 1546937661.687 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in lambda2 1546937661.687 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.687 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.687 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in lambda2 1546937661.687 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.687 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.687 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.687 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.687 * [misc]backup-simplify: Simplify (+ phi1 phi2) into (+ phi1 phi2) 1546937661.687 * [misc]backup-simplify: Simplify (* 1/2 (+ phi1 phi2)) into (* 1/2 (+ phi1 phi2)) 1546937661.687 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ phi1 phi2))) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.687 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ phi1 phi2))) into (sin (* 1/2 (+ phi1 phi2))) 1546937661.687 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) 1) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.687 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ phi1 phi2))) 0) into 0 1546937661.688 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.688 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ phi1 phi2))) 0) into (cos (* 1/2 (+ phi1 phi2))) 1546937661.688 * [misc]taylor: Taking taylor expansion of (pow lambda2 4) in lambda2 1546937661.688 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.688 * [misc]backup-simplify: Simplify 0 into 0 1546937661.688 * [misc]backup-simplify: Simplify 1 into 1 1546937661.688 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.688 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.688 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.689 * [misc]backup-simplify: Simplify (/ (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1) into (pow (cos (* 1/2 (+ phi1 phi2))) 2) 1546937661.689 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) into (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) 1546937661.690 * [misc]backup-simplify: Simplify (+ (* (- 4) (log lambda2)) (log (pow (cos (* 1/2 (+ phi1 phi2))) 2))) into (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) 1546937661.691 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) 1546937661.691 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) 1546937661.691 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) 1546937661.691 * [misc]taylor: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))))) in phi1 1546937661.691 * [misc]taylor: Taking taylor expansion of -1/9 in phi1 1546937661.691 * [misc]backup-simplify: Simplify -1/9 into -1/9 1546937661.691 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))))) in phi1 1546937661.691 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2)))) in phi1 1546937661.691 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.691 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.691 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 4 (log lambda2))) in phi1 1546937661.691 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) in phi1 1546937661.691 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ phi1 phi2))) 2) in phi1 1546937661.691 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ phi1 phi2))) in phi1 1546937661.691 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ phi1 phi2)) in phi1 1546937661.692 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937661.692 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.692 * [misc]taylor: Taking taylor expansion of (+ phi1 phi2) in phi1 1546937661.692 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.692 * [misc]backup-simplify: Simplify 0 into 0 1546937661.692 * [misc]backup-simplify: Simplify 1 into 1 1546937661.692 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.692 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.692 * [misc]backup-simplify: Simplify (+ 0 phi2) into phi2 1546937661.692 * [misc]backup-simplify: Simplify (* 1/2 phi2) into (* 1/2 phi2) 1546937661.692 * [misc]backup-simplify: Simplify (cos (* 1/2 phi2)) into (cos (* 1/2 phi2)) 1546937661.692 * [misc]backup-simplify: Simplify (sin (* 1/2 phi2)) into (sin (* 1/2 phi2)) 1546937661.692 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) 1) into (cos (* 1/2 phi2)) 1546937661.692 * [misc]backup-simplify: Simplify (* (sin (* 1/2 phi2)) 0) into 0 1546937661.692 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.692 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 phi2)) 0) into (cos (* 1/2 phi2)) 1546937661.693 * [misc]backup-simplify: Simplify (* (cos (* 1/2 phi2)) (cos (* 1/2 phi2))) into (pow (cos (* 1/2 phi2)) 2) 1546937661.693 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 phi2)) 2)) into (log (pow (cos (* 1/2 phi2)) 2)) 1546937661.693 * [misc]taylor: Taking taylor expansion of (* 4 (log lambda2)) in phi1 1546937661.693 * [misc]taylor: Taking taylor expansion of 4 in phi1 1546937661.693 * [misc]backup-simplify: Simplify 4 into 4 1546937661.693 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi1 1546937661.693 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937661.693 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.693 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.693 * [misc]backup-simplify: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) 1546937661.693 * [misc]backup-simplify: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) 1546937661.693 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 phi2)) 2)) (- (* 4 (log lambda2)))) into (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) 1546937661.693 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) 1546937661.694 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) 1546937661.694 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) into (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) 1546937661.694 * [misc]taylor: Taking taylor expansion of (* -1/9 (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))))) in phi2 1546937661.694 * [misc]taylor: Taking taylor expansion of -1/9 in phi2 1546937661.694 * [misc]backup-simplify: Simplify -1/9 into -1/9 1546937661.694 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))))) in phi2 1546937661.694 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2)))) in phi2 1546937661.694 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.694 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.694 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 phi2)) 2)) (* 4 (log lambda2))) in phi2 1546937661.694 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 phi2)) 2)) in phi2 1546937661.694 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 phi2)) 2) in phi2 1546937661.694 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 phi2)) in phi2 1546937661.694 * [misc]taylor: Taking taylor expansion of (* 1/2 phi2) in phi2 1546937661.694 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.694 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.694 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.694 * [misc]backup-simplify: Simplify 0 into 0 1546937661.694 * [misc]backup-simplify: Simplify 1 into 1 1546937661.695 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546937661.695 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546937661.695 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.695 * [misc]backup-simplify: Simplify (log 1) into 0 1546937661.695 * [misc]taylor: Taking taylor expansion of (* 4 (log lambda2)) in phi2 1546937661.695 * [misc]taylor: Taking taylor expansion of 4 in phi2 1546937661.695 * [misc]backup-simplify: Simplify 4 into 4 1546937661.695 * [misc]taylor: Taking taylor expansion of (log lambda2) in phi2 1546937661.695 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.695 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.695 * [misc]backup-simplify: Simplify (log lambda2) into (log lambda2) 1546937661.696 * [misc]backup-simplify: Simplify (* 4 (log lambda2)) into (* 4 (log lambda2)) 1546937661.696 * [misc]backup-simplify: Simplify (- (* 4 (log lambda2))) into (- (* 4 (log lambda2))) 1546937661.696 * [misc]backup-simplify: Simplify (+ 0 (- (* 4 (log lambda2)))) into (- (* 4 (log lambda2))) 1546937661.696 * [misc]backup-simplify: Simplify (* 1/3 (- (* 4 (log lambda2)))) into (* -4/3 (log lambda2)) 1546937661.696 * [misc]backup-simplify: Simplify (exp (* -4/3 (log lambda2))) into (pow lambda2 -4/3) 1546937661.696 * [misc]backup-simplify: Simplify (* -1/9 (pow lambda2 -4/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) 1546937661.696 * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) into (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) 1546937661.697 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (pow lambda2 4)) 1/3)) (pow (* 1 (* 1 (* 1 lambda1))) 2)) (+ (* (* -2/3 (pow (/ 1 lambda2) 1/3)) (* 1 (* 1 (* 1 lambda1)))) (pow lambda2 2/3))) into (- (pow lambda2 2/3) (+ (* 2/3 (* (pow (/ 1 lambda2) 1/3) lambda1)) (* 1/9 (* (pow (/ 1 (pow lambda2 4)) 1/3) (pow lambda1 2))))) 1546937661.697 * [misc]backup-simplify: Simplify (cbrt (* (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))) (* (- (/ 1 lambda1) (/ 1 lambda2)) (cos (/ (+ (/ 1 phi1) (/ 1 phi2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 1546937661.698 * [misc]approximate: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 1546937661.698 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi2 1546937661.698 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi2 1546937661.698 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi2 1546937661.698 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.698 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.698 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi2 1546937661.698 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi2 1546937661.698 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937661.698 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937661.698 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937661.698 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.698 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.698 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937661.698 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937661.698 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937661.698 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.698 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.698 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937661.698 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.698 * [misc]backup-simplify: Simplify 0 into 0 1546937661.698 * [misc]backup-simplify: Simplify 1 into 1 1546937661.698 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.699 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937661.699 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937661.699 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.699 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi2 1546937661.699 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 1546937661.699 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 1546937661.699 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937661.699 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.699 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937661.699 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 1546937661.699 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.699 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.699 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.699 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1546937661.699 * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1546937661.700 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.700 * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) 1546937661.700 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1546937661.700 * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) 1546937661.701 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) 1546937661.701 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 1546937661.701 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in phi1 1546937661.701 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in phi1 1546937661.701 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in phi1 1546937661.701 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.701 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.701 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in phi1 1546937661.701 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in phi1 1546937661.701 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937661.701 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937661.701 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937661.701 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937661.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.701 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937661.701 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937661.701 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.701 * [misc]backup-simplify: Simplify 0 into 0 1546937661.702 * [misc]backup-simplify: Simplify 1 into 1 1546937661.702 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.702 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937661.702 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.702 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.702 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.702 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.702 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937661.702 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.702 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in phi1 1546937661.702 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 1546937661.702 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 1546937661.702 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937661.703 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.703 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937661.703 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 1546937661.703 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937661.703 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.703 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.703 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1546937661.703 * [misc]backup-simplify: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1546937661.703 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.703 * [misc]backup-simplify: Simplify (* (- (/ 1 lambda1) (/ 1 lambda2)) (- (/ 1 lambda1) (/ 1 lambda2))) into (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) 1546937661.704 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) into (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1546937661.704 * [misc]backup-simplify: Simplify (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) into (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) 1546937661.704 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) into (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) 1546937661.705 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) into (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) 1546937661.705 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda2 1546937661.705 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda2 1546937661.705 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda2 1546937661.705 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.705 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.705 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda2 1546937661.705 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda2 1546937661.705 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.705 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.705 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.705 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.705 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.705 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.705 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.705 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.705 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.705 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.705 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.705 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.705 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.705 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.705 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.705 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.706 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.706 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.706 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.706 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.706 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.706 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.706 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda2 1546937661.706 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1546937661.707 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 1546937661.707 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.707 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.707 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937661.707 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 1546937661.707 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.707 * [misc]backup-simplify: Simplify 0 into 0 1546937661.707 * [misc]backup-simplify: Simplify 1 into 1 1546937661.707 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.707 * [misc]backup-simplify: Simplify (- 1) into -1 1546937661.707 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1546937661.708 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.708 * [misc]backup-simplify: Simplify (* -1 -1) into 1 1546937661.708 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.708 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.708 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 1546937661.709 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 1546937661.709 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 1546937661.709 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1 1546937661.709 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1 1546937661.709 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1 1546937661.709 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 1546937661.709 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.709 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1 1546937661.709 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 1546937661.709 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937661.709 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937661.709 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937661.709 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937661.709 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.709 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937661.709 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937661.709 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.709 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.710 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.710 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937661.710 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.710 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.710 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.710 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.710 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.710 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.710 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.710 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.710 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.711 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.711 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.711 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 1546937661.711 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1546937661.711 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 1546937661.711 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.711 * [misc]backup-simplify: Simplify 0 into 0 1546937661.711 * [misc]backup-simplify: Simplify 1 into 1 1546937661.711 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.711 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 1546937661.711 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.711 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.711 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.711 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.712 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.712 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.712 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.712 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.712 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.713 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.713 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.713 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) 1/3) in lambda1 1546937661.713 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))))) in lambda1 1546937661.713 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)))) in lambda1 1546937661.713 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 1546937661.713 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.713 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2))) in lambda1 1546937661.713 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2)) in lambda1 1546937661.713 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937661.713 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937661.713 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937661.713 * [misc]taylor: Taking taylor expansion of 1/2 in lambda1 1546937661.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.713 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937661.713 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937661.713 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.713 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.713 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.713 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937661.713 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.714 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.714 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.714 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.714 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.714 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.714 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.714 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.714 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.714 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.715 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.715 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda1) (/ 1 lambda2)) 2) in lambda1 1546937661.715 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1546937661.715 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 1546937661.715 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.715 * [misc]backup-simplify: Simplify 0 into 0 1546937661.715 * [misc]backup-simplify: Simplify 1 into 1 1546937661.715 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.715 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 1546937661.715 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.715 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.715 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.715 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.715 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.716 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.716 * [misc]backup-simplify: Simplify (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.716 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.716 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.717 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.717 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.717 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 1546937661.717 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 1546937661.717 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.717 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.717 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 1546937661.717 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 1546937661.717 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.717 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.717 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.717 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.717 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.717 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.717 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.717 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.717 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.717 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.717 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.717 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.717 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.718 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.718 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.718 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.718 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.718 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.718 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.718 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.718 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.719 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.719 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.719 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.719 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 1546937661.719 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.719 * [misc]backup-simplify: Simplify 2 into 2 1546937661.719 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 1546937661.719 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.719 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.719 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.719 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.719 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.720 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.720 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.720 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.720 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 1546937661.720 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 1546937661.720 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.720 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.720 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 1546937661.720 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 1546937661.720 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937661.720 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937661.720 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937661.720 * [misc]taylor: Taking taylor expansion of 1/2 in phi1 1546937661.720 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.720 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937661.720 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937661.720 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.721 * [misc]backup-simplify: Simplify 0 into 0 1546937661.721 * [misc]backup-simplify: Simplify 1 into 1 1546937661.721 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.721 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937661.721 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.721 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.721 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.721 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.721 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937661.721 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.722 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.722 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.722 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi1 1546937661.722 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937661.722 * [misc]backup-simplify: Simplify 2 into 2 1546937661.722 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi1 1546937661.722 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937661.722 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.722 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.722 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.722 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.722 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.723 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.723 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.723 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 1546937661.723 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 1546937661.723 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.723 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.723 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 1546937661.723 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 1546937661.723 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937661.723 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937661.723 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937661.723 * [misc]taylor: Taking taylor expansion of 1/2 in phi2 1546937661.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.723 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937661.723 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937661.723 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937661.723 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.723 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.723 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937661.723 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.723 * [misc]backup-simplify: Simplify 0 into 0 1546937661.723 * [misc]backup-simplify: Simplify 1 into 1 1546937661.724 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.724 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937661.724 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546937661.724 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.724 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.724 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.724 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi2 1546937661.724 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937661.724 * [misc]backup-simplify: Simplify 2 into 2 1546937661.724 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi2 1546937661.724 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937661.725 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.725 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.725 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.725 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.725 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.725 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.725 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.726 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.726 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937661.726 * [misc]backup-simplify: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1546937661.726 * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 lambda2))) into (- (/ 1 lambda2)) 1546937661.726 * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 lambda2))) (* (- (/ 1 lambda2)) 1)) into (- (* 2 (/ 1 lambda2))) 1546937661.727 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.727 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.727 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.727 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.727 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.727 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.729 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.729 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.729 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.729 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.729 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.730 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937661.730 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 1546937661.731 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.731 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 1546937661.731 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 1546937661.732 * [misc]taylor: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 1546937661.732 * [misc]taylor: Taking taylor expansion of -2/3 in lambda2 1546937661.732 * [misc]backup-simplify: Simplify -2/3 into -2/3 1546937661.732 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 1546937661.732 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 1546937661.732 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 1546937661.732 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.732 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.732 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 1546937661.732 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 1546937661.732 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.732 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.732 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.732 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.732 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.732 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.732 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.732 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.732 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.732 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.732 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.732 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.732 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.732 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.732 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.732 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.733 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.733 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.733 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.733 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.733 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.733 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.734 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.734 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.734 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 1546937661.734 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.734 * [misc]backup-simplify: Simplify 2 into 2 1546937661.734 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 1546937661.734 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.734 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.734 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.734 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.734 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.734 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.735 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.735 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.735 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.735 * [misc]backup-simplify: Simplify 0 into 0 1546937661.735 * [misc]backup-simplify: Simplify 1 into 1 1546937661.735 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.735 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.736 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.736 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.736 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.736 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.736 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.737 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.738 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.738 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.738 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.738 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.739 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.740 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.740 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.740 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.740 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.741 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.742 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.742 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 1546937661.743 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 1546937661.743 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.743 * [misc]backup-simplify: Simplify 0 into 0 1546937661.743 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.743 * [misc]backup-simplify: Simplify 0 into 0 1546937661.743 * [misc]backup-simplify: Simplify 0 into 0 1546937661.743 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.743 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.743 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.744 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.744 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.744 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.745 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.745 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.745 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.746 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.746 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.747 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.747 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.748 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.748 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.748 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.748 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.750 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.750 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.750 * [misc]backup-simplify: Simplify 0 into 0 1546937661.750 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.750 * [misc]backup-simplify: Simplify 0 into 0 1546937661.750 * [misc]backup-simplify: Simplify 0 into 0 1546937661.750 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.751 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.752 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.752 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.752 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.752 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.753 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.754 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.754 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.754 * [misc]backup-simplify: Simplify 0 into 0 1546937661.754 * [misc]backup-simplify: Simplify 0 into 0 1546937661.754 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.755 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.756 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.756 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.756 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.756 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.756 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.758 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.758 * [misc]backup-simplify: Simplify 0 into 0 1546937661.758 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.758 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1546937661.758 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.758 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.759 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 lambda2)) (- (/ 1 lambda2))) (* 0 1))) into (/ 1 (pow lambda2 2)) 1546937661.760 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.760 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.760 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.760 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.761 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.761 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.762 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.762 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.762 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.762 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.763 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.763 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937661.765 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) 1546937661.765 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.765 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 1546937661.766 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) 1546937661.766 * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 1546937661.766 * [misc]taylor: Taking taylor expansion of -1/9 in lambda2 1546937661.766 * [misc]backup-simplify: Simplify -1/9 into -1/9 1546937661.766 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 1546937661.766 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 1546937661.766 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 1546937661.766 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.766 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.766 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 1546937661.766 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 1546937661.766 * [misc]taylor: Taking taylor expansion of (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.766 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.766 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.766 * [misc]taylor: Taking taylor expansion of 1/2 in lambda2 1546937661.766 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546937661.766 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.767 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.767 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.767 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.767 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.767 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.767 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.767 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.767 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.767 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.767 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.767 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.767 * [misc]backup-simplify: Simplify (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.767 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.767 * [misc]backup-simplify: Simplify (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.768 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.768 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.768 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.768 * [misc]backup-simplify: Simplify (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.768 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 1546937661.768 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.768 * [misc]backup-simplify: Simplify 2 into 2 1546937661.768 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 1546937661.768 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.768 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.768 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.768 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.769 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.769 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.769 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.769 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.769 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937661.769 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.769 * [misc]backup-simplify: Simplify 0 into 0 1546937661.769 * [misc]backup-simplify: Simplify 1 into 1 1546937661.770 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.770 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.770 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.770 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.770 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.771 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.771 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.771 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.772 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.772 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.772 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.772 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.773 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.773 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.774 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.774 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.775 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.775 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.775 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.776 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.776 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.776 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.777 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.777 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.777 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.778 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.778 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.778 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.779 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.779 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.781 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 1546937661.782 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 1546937661.782 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 1546937661.782 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.782 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.783 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 1546937661.785 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546937661.785 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.786 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.786 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937661.787 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 1546937661.788 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.788 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 1546937661.788 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.788 * [misc]backup-simplify: Simplify 0 into 0 1546937661.788 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.788 * [misc]backup-simplify: Simplify 0 into 0 1546937661.788 * [misc]backup-simplify: Simplify 0 into 0 1546937661.789 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.790 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.790 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.790 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.790 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.790 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.791 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.792 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.792 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.792 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.792 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.794 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 1546937661.795 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 1546937661.795 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 1546937661.796 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.796 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.796 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 1546937661.798 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546937661.799 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.799 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 1546937661.799 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.799 * [misc]backup-simplify: Simplify 0 into 0 1546937661.799 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.799 * [misc]backup-simplify: Simplify 0 into 0 1546937661.799 * [misc]backup-simplify: Simplify 0 into 0 1546937661.800 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ (/ 1 (/ 1 phi1)) (/ 1 (/ 1 phi2))))) 2)) (* 2 (log (/ 1 lambda1)))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ 1 lambda1)))))) 1546937661.800 * [misc]backup-simplify: Simplify (cbrt (* (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))) (* (- (/ 1 (- lambda1)) (/ 1 (- lambda2))) (cos (/ (+ (/ 1 (- phi1)) (/ 1 (- phi2))) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 1546937661.800 * [misc]approximate: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in (lambda1 lambda2 phi1 phi2) around 0 1546937661.800 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi2 1546937661.800 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi2 1546937661.800 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi2 1546937661.800 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.800 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.800 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi2 1546937661.800 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi2 1546937661.800 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937661.800 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937661.801 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937661.801 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937661.801 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.801 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937661.801 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937661.801 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937661.801 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.801 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.801 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937661.801 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.801 * [misc]backup-simplify: Simplify 0 into 0 1546937661.801 * [misc]backup-simplify: Simplify 1 into 1 1546937661.801 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.801 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937661.801 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937661.802 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.802 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi2 1546937661.802 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 1546937661.802 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi2 1546937661.802 * [misc]taylor: Taking taylor expansion of lambda2 in phi2 1546937661.802 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.802 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.802 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi2 1546937661.802 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937661.802 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.802 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937661.802 * [misc]backup-simplify: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1546937661.802 * [misc]backup-simplify: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1546937661.802 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.802 * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) 1546937661.803 * [misc]backup-simplify: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1546937661.803 * [misc]backup-simplify: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) 1546937661.803 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) 1546937661.804 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 1546937661.804 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in phi1 1546937661.804 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in phi1 1546937661.804 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in phi1 1546937661.804 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.804 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.804 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in phi1 1546937661.804 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in phi1 1546937661.804 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937661.804 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937661.804 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937661.804 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937661.804 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.804 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937661.804 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937661.804 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.804 * [misc]backup-simplify: Simplify 0 into 0 1546937661.804 * [misc]backup-simplify: Simplify 1 into 1 1546937661.804 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.804 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937661.804 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.804 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.804 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.805 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.805 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937661.805 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.805 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in phi1 1546937661.805 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 1546937661.805 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in phi1 1546937661.805 * [misc]taylor: Taking taylor expansion of lambda2 in phi1 1546937661.805 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.805 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.805 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in phi1 1546937661.805 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937661.805 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.805 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937661.805 * [misc]backup-simplify: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1546937661.805 * [misc]backup-simplify: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1546937661.806 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.806 * [misc]backup-simplify: Simplify (* (- (/ 1 lambda2) (/ 1 lambda1)) (- (/ 1 lambda2) (/ 1 lambda1))) into (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) 1546937661.806 * [misc]backup-simplify: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) into (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1546937661.806 * [misc]backup-simplify: Simplify (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) into (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) 1546937661.807 * [misc]backup-simplify: Simplify (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) into (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) 1546937661.807 * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) into (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) 1546937661.807 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda2 1546937661.807 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda2 1546937661.807 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda2 1546937661.807 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.807 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.807 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda2 1546937661.807 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda2 1546937661.807 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.807 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.807 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.807 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937661.807 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.807 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.807 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.807 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.807 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.807 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.807 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.807 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.807 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.807 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.808 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.808 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.808 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.808 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.808 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.808 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.808 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.808 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.809 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda2 1546937661.809 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1546937661.809 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda2 1546937661.809 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.809 * [misc]backup-simplify: Simplify 0 into 0 1546937661.809 * [misc]backup-simplify: Simplify 1 into 1 1546937661.809 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.809 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda2 1546937661.809 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.809 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.809 * [misc]backup-simplify: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1546937661.809 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.809 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.809 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.810 * [misc]backup-simplify: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.810 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.810 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda2)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))) 1546937661.810 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2)))) 1546937661.811 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda2))))) 1546937661.811 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1 1546937661.811 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1 1546937661.811 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1 1546937661.811 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 1546937661.811 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.811 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1 1546937661.811 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 1546937661.811 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937661.811 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937661.811 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937661.811 * [misc]taylor: Taking taylor expansion of -1/2 in lambda1 1546937661.811 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.811 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937661.811 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937661.811 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.811 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.811 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.811 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937661.811 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.811 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.811 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.811 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.811 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.812 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.812 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.812 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.812 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.812 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.812 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.812 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 1546937661.812 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1546937661.812 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 1546937661.812 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.812 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.812 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.812 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 1546937661.812 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.812 * [misc]backup-simplify: Simplify 0 into 0 1546937661.812 * [misc]backup-simplify: Simplify 1 into 1 1546937661.813 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.813 * [misc]backup-simplify: Simplify (- 1) into -1 1546937661.813 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1546937661.813 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.813 * [misc]backup-simplify: Simplify (* -1 -1) into 1 1546937661.813 * [misc]backup-simplify: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.814 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.814 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.814 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.814 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.814 * [misc]taylor: Taking taylor expansion of (pow (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) 1/3) in lambda1 1546937661.814 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))))) in lambda1 1546937661.815 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)))) in lambda1 1546937661.815 * [misc]taylor: Taking taylor expansion of 1/3 in lambda1 1546937661.815 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.815 * [misc]taylor: Taking taylor expansion of (log (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2))) in lambda1 1546937661.815 * [misc]taylor: Taking taylor expansion of (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2)) in lambda1 1546937661.815 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda1 1546937661.815 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda1 1546937661.815 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda1 1546937661.815 * [misc]taylor: Taking taylor expansion of -1/2 in lambda1 1546937661.815 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.815 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda1 1546937661.815 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda1 1546937661.815 * [misc]taylor: Taking taylor expansion of phi1 in lambda1 1546937661.815 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.815 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.815 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda1 1546937661.815 * [misc]taylor: Taking taylor expansion of phi2 in lambda1 1546937661.815 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.815 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.815 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.815 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.815 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.815 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.816 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.816 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.816 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.816 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.816 * [misc]taylor: Taking taylor expansion of (pow (- (/ 1 lambda2) (/ 1 lambda1)) 2) in lambda1 1546937661.816 * [misc]taylor: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1546937661.816 * [misc]taylor: Taking taylor expansion of (/ 1 lambda2) in lambda1 1546937661.816 * [misc]taylor: Taking taylor expansion of lambda2 in lambda1 1546937661.816 * [misc]backup-simplify: Simplify lambda2 into lambda2 1546937661.816 * [misc]backup-simplify: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1546937661.816 * [misc]taylor: Taking taylor expansion of (/ 1 lambda1) in lambda1 1546937661.816 * [misc]taylor: Taking taylor expansion of lambda1 in lambda1 1546937661.816 * [misc]backup-simplify: Simplify 0 into 0 1546937661.816 * [misc]backup-simplify: Simplify 1 into 1 1546937661.816 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.817 * [misc]backup-simplify: Simplify (- 1) into -1 1546937661.817 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1546937661.817 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.817 * [misc]backup-simplify: Simplify (* -1 -1) into 1 1546937661.817 * [misc]backup-simplify: Simplify (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.818 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.818 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.818 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.818 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.818 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 1546937661.819 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 1546937661.819 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.819 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.819 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 1546937661.819 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 1546937661.819 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.819 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.819 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.819 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937661.819 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.819 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.819 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.819 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.819 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.819 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.819 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.819 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.819 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.819 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.819 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.819 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.819 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.819 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.820 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.820 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.820 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.820 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.820 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.821 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.821 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 1546937661.821 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.821 * [misc]backup-simplify: Simplify 2 into 2 1546937661.821 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 1546937661.821 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.821 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.821 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.821 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.821 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.821 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.821 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.822 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.822 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi1 1546937661.822 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi1 1546937661.822 * [misc]taylor: Taking taylor expansion of 1/3 in phi1 1546937661.822 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.822 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi1 1546937661.822 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi1 1546937661.822 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi1 1546937661.822 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi1 1546937661.822 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi1 1546937661.822 * [misc]taylor: Taking taylor expansion of -1/2 in phi1 1546937661.822 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.822 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi1 1546937661.822 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi1 1546937661.822 * [misc]taylor: Taking taylor expansion of phi1 in phi1 1546937661.822 * [misc]backup-simplify: Simplify 0 into 0 1546937661.822 * [misc]backup-simplify: Simplify 1 into 1 1546937661.822 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.822 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi1 1546937661.822 * [misc]taylor: Taking taylor expansion of phi2 in phi1 1546937661.822 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.822 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.822 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1546937661.823 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937661.823 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.823 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.823 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.823 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi1 1546937661.823 * [misc]taylor: Taking taylor expansion of 2 in phi1 1546937661.823 * [misc]backup-simplify: Simplify 2 into 2 1546937661.823 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi1 1546937661.823 * [misc]taylor: Taking taylor expansion of lambda1 in phi1 1546937661.823 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.823 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.823 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.823 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.824 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.824 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.824 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.824 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in phi2 1546937661.824 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in phi2 1546937661.824 * [misc]taylor: Taking taylor expansion of 1/3 in phi2 1546937661.824 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.824 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in phi2 1546937661.824 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in phi2 1546937661.824 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in phi2 1546937661.824 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in phi2 1546937661.824 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in phi2 1546937661.824 * [misc]taylor: Taking taylor expansion of -1/2 in phi2 1546937661.824 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.824 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in phi2 1546937661.824 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in phi2 1546937661.825 * [misc]taylor: Taking taylor expansion of phi1 in phi2 1546937661.825 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.825 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.825 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in phi2 1546937661.825 * [misc]taylor: Taking taylor expansion of phi2 in phi2 1546937661.825 * [misc]backup-simplify: Simplify 0 into 0 1546937661.825 * [misc]backup-simplify: Simplify 1 into 1 1546937661.825 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546937661.825 * [misc]backup-simplify: Simplify (+ 0 1) into 1 1546937661.825 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1546937661.825 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.825 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.826 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.826 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in phi2 1546937661.826 * [misc]taylor: Taking taylor expansion of 2 in phi2 1546937661.826 * [misc]backup-simplify: Simplify 2 into 2 1546937661.826 * [misc]taylor: Taking taylor expansion of (log lambda1) in phi2 1546937661.826 * [misc]taylor: Taking taylor expansion of lambda1 in phi2 1546937661.826 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.826 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.826 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.826 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.826 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.826 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.827 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.827 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.827 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546937661.827 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.827 * [misc]backup-simplify: Simplify (+ (/ 1 lambda2) 0) into (/ 1 lambda2) 1546937661.828 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 lambda2)) (* (/ 1 lambda2) -1)) into (- (* 2 (/ 1 lambda2))) 1546937661.828 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.828 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.828 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.828 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.828 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.829 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.830 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.830 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.831 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.831 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.832 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.832 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (- (* 2 (/ 1 lambda2)))) (* 0 1)) into (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2))) 1546937661.833 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into (/ -2 lambda2) 1546937661.833 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.833 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (- (* 2/3 (/ 1 lambda2))) 1546937661.834 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 1) 1)))) into (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) 1546937661.834 * [misc]taylor: Taking taylor expansion of (* -2/3 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2)) in lambda2 1546937661.834 * [misc]taylor: Taking taylor expansion of -2/3 in lambda2 1546937661.834 * [misc]backup-simplify: Simplify -2/3 into -2/3 1546937661.834 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) lambda2) in lambda2 1546937661.834 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 1546937661.834 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 1546937661.834 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.834 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.834 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 1546937661.834 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 1546937661.834 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.834 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.834 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.834 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937661.834 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.834 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.834 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.834 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.834 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.834 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.834 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.834 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.834 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.834 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.834 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.834 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.835 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.835 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.835 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.835 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.835 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.835 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.836 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.836 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.836 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 1546937661.836 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.836 * [misc]backup-simplify: Simplify 2 into 2 1546937661.836 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 1546937661.836 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.836 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.836 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.836 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.836 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.836 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.837 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.837 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.837 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.837 * [misc]backup-simplify: Simplify 0 into 0 1546937661.837 * [misc]backup-simplify: Simplify 1 into 1 1546937661.837 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.837 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.838 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.838 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.838 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.838 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.838 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.839 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.840 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.840 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.840 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.840 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.841 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.842 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.842 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.842 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.842 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.843 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.844 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.845 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 1546937661.845 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))))) into 0 1546937661.845 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.845 * [misc]backup-simplify: Simplify 0 into 0 1546937661.845 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.846 * [misc]backup-simplify: Simplify 0 into 0 1546937661.846 * [misc]backup-simplify: Simplify 0 into 0 1546937661.846 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.846 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.846 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.846 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.846 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.847 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.848 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.848 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.848 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.848 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.849 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.849 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.850 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.850 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.850 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.851 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.851 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.852 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.852 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.852 * [misc]backup-simplify: Simplify 0 into 0 1546937661.852 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.852 * [misc]backup-simplify: Simplify 0 into 0 1546937661.852 * [misc]backup-simplify: Simplify 0 into 0 1546937661.853 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.853 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.854 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.854 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.854 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.855 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.855 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.856 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.856 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.856 * [misc]backup-simplify: Simplify 0 into 0 1546937661.857 * [misc]backup-simplify: Simplify 0 into 0 1546937661.857 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.858 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.858 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.858 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.859 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.859 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.859 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.860 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.860 * [misc]backup-simplify: Simplify 0 into 0 1546937661.861 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1546937661.861 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.861 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.861 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.862 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 lambda2) (/ 1 lambda2)) (* 0 -1))) into (/ 1 (pow lambda2 2)) 1546937661.863 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.863 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.863 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.863 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.864 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.864 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.865 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.865 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.865 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.865 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.866 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.866 * [misc]backup-simplify: Simplify (+ (* (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (/ 1 (pow lambda2 2))) (+ (* 0 (- (* 2 (/ 1 lambda2)))) (* 0 1))) into (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2)) 1546937661.867 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) lambda2)))) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 (/ (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) (pow lambda2 2))) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into (/ -1 (pow lambda2 2)) 1546937661.868 * [misc]backup-simplify: Simplify (+ (* (- 2) (log lambda1)) (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.868 * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (pow lambda2 2))) (+ (* 0 (/ -2 lambda2)) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into (- (* 1/3 (/ 1 (pow lambda2 2)))) 1546937661.869 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow (- (* 2/3 (/ 1 lambda2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow lambda2 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) 1546937661.869 * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2))) in lambda2 1546937661.869 * [misc]taylor: Taking taylor expansion of -1/9 in lambda2 1546937661.869 * [misc]backup-simplify: Simplify -1/9 into -1/9 1546937661.869 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (pow lambda2 2)) in lambda2 1546937661.869 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) in lambda2 1546937661.869 * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) in lambda2 1546937661.869 * [misc]taylor: Taking taylor expansion of 1/3 in lambda2 1546937661.869 * [misc]backup-simplify: Simplify 1/3 into 1/3 1546937661.869 * [misc]taylor: Taking taylor expansion of (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) in lambda2 1546937661.869 * [misc]taylor: Taking taylor expansion of (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) in lambda2 1546937661.869 * [misc]taylor: Taking taylor expansion of (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) in lambda2 1546937661.869 * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) in lambda2 1546937661.869 * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) in lambda2 1546937661.869 * [misc]taylor: Taking taylor expansion of -1/2 in lambda2 1546937661.869 * [misc]backup-simplify: Simplify -1/2 into -1/2 1546937661.869 * [misc]taylor: Taking taylor expansion of (+ (/ 1 phi1) (/ 1 phi2)) in lambda2 1546937661.869 * [misc]taylor: Taking taylor expansion of (/ 1 phi1) in lambda2 1546937661.869 * [misc]taylor: Taking taylor expansion of phi1 in lambda2 1546937661.869 * [misc]backup-simplify: Simplify phi1 into phi1 1546937661.869 * [misc]backup-simplify: Simplify (/ 1 phi1) into (/ 1 phi1) 1546937661.869 * [misc]taylor: Taking taylor expansion of (/ 1 phi2) in lambda2 1546937661.869 * [misc]taylor: Taking taylor expansion of phi2 in lambda2 1546937661.869 * [misc]backup-simplify: Simplify phi2 into phi2 1546937661.869 * [misc]backup-simplify: Simplify (/ 1 phi2) into (/ 1 phi2) 1546937661.870 * [misc]backup-simplify: Simplify (+ (/ 1 phi1) (/ 1 phi2)) into (+ (/ 1 phi1) (/ 1 phi2)) 1546937661.870 * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) into (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))) 1546937661.870 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.870 * [misc]backup-simplify: Simplify (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) into (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.870 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.870 * [misc]backup-simplify: Simplify (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into 0 1546937661.871 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.871 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) into (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 1546937661.871 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))) into (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1546937661.871 * [misc]backup-simplify: Simplify (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) into (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) 1546937661.871 * [misc]taylor: Taking taylor expansion of (* 2 (log lambda1)) in lambda2 1546937661.871 * [misc]taylor: Taking taylor expansion of 2 in lambda2 1546937661.871 * [misc]backup-simplify: Simplify 2 into 2 1546937661.871 * [misc]taylor: Taking taylor expansion of (log lambda1) in lambda2 1546937661.871 * [misc]taylor: Taking taylor expansion of lambda1 in lambda2 1546937661.871 * [misc]backup-simplify: Simplify lambda1 into lambda1 1546937661.871 * [misc]backup-simplify: Simplify (log lambda1) into (log lambda1) 1546937661.871 * [misc]backup-simplify: Simplify (* 2 (log lambda1)) into (* 2 (log lambda1)) 1546937661.871 * [misc]backup-simplify: Simplify (- (* 2 (log lambda1))) into (- (* 2 (log lambda1))) 1546937661.872 * [misc]backup-simplify: Simplify (+ (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (- (* 2 (log lambda1)))) into (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))) 1546937661.872 * [misc]backup-simplify: Simplify (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) into (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))) 1546937661.872 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.872 * [misc]taylor: Taking taylor expansion of (pow lambda2 2) in lambda2 1546937661.872 * [misc]taylor: Taking taylor expansion of lambda2 in lambda2 1546937661.872 * [misc]backup-simplify: Simplify 0 into 0 1546937661.872 * [misc]backup-simplify: Simplify 1 into 1 1546937661.873 * [misc]backup-simplify: Simplify (* 1 1) into 1 1546937661.873 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1) into (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) 1546937661.873 * [misc]backup-simplify: Simplify (+ 0) into 0 1546937661.873 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 1)) into 0 1546937661.873 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1546937661.873 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1546937661.874 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.874 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2)))) into 0 1546937661.875 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1546937661.875 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 0)) into 0 1546937661.875 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.875 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.876 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))))) into 0 1546937661.876 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 1) into 0 1546937661.877 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow lambda1 1)))) 1) into 0 1546937661.877 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log lambda1))) into 0 1546937661.877 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.878 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.878 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) into 0 1546937661.879 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.879 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.879 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.879 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.880 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.880 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.881 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.881 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.881 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.881 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.882 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.883 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 1546937661.885 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 1546937661.885 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 1546937661.885 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.885 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.886 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 1546937661.888 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546937661.888 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.889 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546937661.889 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1546937661.890 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)))) into 0 1546937661.891 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.891 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 1546937661.891 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.891 * [misc]backup-simplify: Simplify 0 into 0 1546937661.891 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.891 * [misc]backup-simplify: Simplify 0 into 0 1546937661.891 * [misc]backup-simplify: Simplify 0 into 0 1546937661.892 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1546937661.893 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 1))) into 0 1546937661.893 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1546937661.893 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1546937661.893 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.894 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 phi1) (/ 1 phi2))))) into 0 1546937661.894 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1546937661.895 * [misc]backup-simplify: Simplify (+ (* (sin (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 0))) into 0 1546937661.895 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.895 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.896 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2))))))) into 0 1546937661.897 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2) 1)))) 2) into 0 1546937661.898 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow lambda1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow lambda1 1)))) 2) into 0 1546937661.899 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log lambda1)))) into 0 1546937661.899 * [misc]backup-simplify: Simplify (- 0) into 0 1546937661.899 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546937661.900 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))) into 0 1546937661.901 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546937661.902 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546937661.903 * [misc]backup-simplify: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 phi1) (/ 1 phi2)))) 2)) (* 2 (log lambda1)))))))) into 0 1546937661.903 * [misc]taylor: Taking taylor expansion of 0 in phi1 1546937661.903 * [misc]backup-simplify: Simplify 0 into 0 1546937661.903 * [misc]taylor: Taking taylor expansion of 0 in phi2 1546937661.903 * [misc]backup-simplify: Simplify 0 into 0 1546937661.903 * [misc]backup-simplify: Simplify 0 into 0 1546937661.903 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (pow (cos (* -1/2 (+ (/ 1 (/ 1 (- phi1))) (/ 1 (/ 1 (- phi2)))))) 2)) (* 2 (log (/ 1 (- lambda1))))))) into (exp (* 1/3 (- (log (pow (cos (* 1/2 (+ phi1 phi2))) 2)) (* 2 (log (/ -1 lambda1)))))) 1546937661.903 * * * [misc]progress: simplifying candidates 1546937661.904 * * * * [misc]progress: [ 1 / 5901 ] simplifiying candidate # 1546937661.904 * * * * [misc]progress: [ 2 / 5901 ] simplifiying candidate # 1546937661.904 * * * * [misc]progress: [ 3 / 5901 ] simplifiying candidate # 1546937661.904 * * * * [misc]progress: [ 4 / 5901 ] simplifiying candidate # 1546937661.904 * * * * [misc]progress: [ 5 / 5901 ] simplifiying candidate # 1546937661.904 * * * * [misc]progress: [ 6 / 5901 ] simplifiying candidate # 1546937661.904 * * * * [misc]progress: [ 7 / 5901 ] simplifiying candidate # 1546937661.905 * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))) 1546937661.905 * * [misc]simplify: iters left: 6 (20 enodes) 1546937661.910 * * [misc]simplify: iters left: 5 (33 enodes) 1546937661.919 * * [misc]simplify: iters left: 4 (62 enodes) 1546937661.945 * * [misc]simplify: iters left: 3 (192 enodes) 1546937662.058 * [exit]simplify: Simplified to (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 1546937662.058 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (fabs (cbrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (cbrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))))) 1546937662.058 * * * * [misc]progress: [ 8 / 5901 ] simplifiying candidate # 1546937662.059 * [enter]simplify: Simplifying (sqrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))) 1546937662.059 * * [misc]simplify: iters left: 6 (19 enodes) 1546937662.062 * * [misc]simplify: iters left: 5 (31 enodes) 1546937662.068 * * [misc]simplify: iters left: 4 (60 enodes) 1546937662.081 * * [misc]simplify: iters left: 3 (194 enodes) 1546937662.167 * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 1546937662.167 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* (sqrt (sqrt (+ (* (- phi1 phi2) (- phi1 phi2)) (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2)))))))) 1546937662.168 * * * * [misc]progress: [ 9 / 5901 ] simplifiying candidate # 1546937662.168 * [enter]simplify: Simplifying (sqrt 1) 1546937662.168 * * [misc]simplify: iters left: 1 (2 enodes) 1546937662.169 * [exit]simplify: Simplified to 1 1546937662.169 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (* 1 (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))))) 1546937662.169 * * * * [misc]progress: [ 10 / 5901 ] simplifiying candidate # 1546937662.169 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937662.169 * * [misc]simplify: iters left: 6 (40 enodes) 1546937662.177 * * [misc]simplify: iters left: 5 (96 enodes) 1546937662.202 * * [misc]simplify: iters left: 4 (330 enodes) 1546937662.445 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937662.445 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937662.445 * * * * [misc]progress: [ 11 / 5901 ] simplifiying candidate # 1546937662.445 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937662.446 * * [misc]simplify: iters left: 6 (41 enodes) 1546937662.461 * * [misc]simplify: iters left: 5 (103 enodes) 1546937662.501 * * [misc]simplify: iters left: 4 (361 enodes) 1546937662.734 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) 1546937662.734 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937662.734 * * * * [misc]progress: [ 12 / 5901 ] simplifiying candidate # 1546937662.735 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937662.735 * * [misc]simplify: iters left: 6 (41 enodes) 1546937662.742 * * [misc]simplify: iters left: 5 (103 enodes) 1546937662.777 * * [misc]simplify: iters left: 4 (359 enodes) 1546937663.057 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) 1546937663.057 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ phi2 phi1)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937663.058 * * * * [misc]progress: [ 13 / 5901 ] simplifiying candidate # 1546937663.058 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937663.059 * * [misc]simplify: iters left: 6 (35 enodes) 1546937663.071 * * [misc]simplify: iters left: 5 (83 enodes) 1546937663.102 * * [misc]simplify: iters left: 4 (278 enodes) 1546937663.247 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) 1546937663.247 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937663.247 * * * * [misc]progress: [ 14 / 5901 ] simplifiying candidate # 1546937663.248 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937663.248 * * [misc]simplify: iters left: 6 (40 enodes) 1546937663.256 * * [misc]simplify: iters left: 5 (97 enodes) 1546937663.283 * * [misc]simplify: iters left: 4 (296 enodes) 1546937663.447 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937663.447 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937663.447 * * * * [misc]progress: [ 15 / 5901 ] simplifiying candidate # 1546937663.448 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937663.448 * * [misc]simplify: iters left: 6 (35 enodes) 1546937663.459 * * [misc]simplify: iters left: 5 (83 enodes) 1546937663.497 * * [misc]simplify: iters left: 4 (263 enodes) 1546937663.644 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) 1546937663.644 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937663.645 * * * * [misc]progress: [ 16 / 5901 ] simplifiying candidate # 1546937663.645 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937663.646 * * [misc]simplify: iters left: 6 (40 enodes) 1546937663.660 * * [misc]simplify: iters left: 5 (97 enodes) 1546937663.678 * * [misc]simplify: iters left: 4 (296 enodes) 1546937663.834 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937663.834 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937663.835 * * * * [misc]progress: [ 17 / 5901 ] simplifiying candidate # 1546937663.835 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937663.836 * * [misc]simplify: iters left: 6 (35 enodes) 1546937663.848 * * [misc]simplify: iters left: 5 (83 enodes) 1546937663.881 * * [misc]simplify: iters left: 4 (263 enodes) 1546937664.002 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) 1546937664.002 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (+ phi2 phi1) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937664.002 * * * * [misc]progress: [ 18 / 5901 ] simplifiying candidate # 1546937664.003 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937664.003 * * [misc]simplify: iters left: 6 (47 enodes) 1546937664.011 * * [misc]simplify: iters left: 5 (124 enodes) 1546937664.053 * * [misc]simplify: iters left: 4 (440 enodes) 1546937664.432 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937664.432 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937664.432 * * * * [misc]progress: [ 19 / 5901 ] simplifiying candidate # 1546937664.433 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937664.433 * * [misc]simplify: iters left: 6 (48 enodes) 1546937664.451 * * [misc]simplify: iters left: 5 (131 enodes) 1546937664.509 * * [misc]simplify: iters left: 4 (471 enodes) 1546937664.849 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) 1546937664.849 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937664.849 * * * * [misc]progress: [ 20 / 5901 ] simplifiying candidate # 1546937664.850 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937664.850 * * [misc]simplify: iters left: 6 (48 enodes) 1546937664.859 * * [misc]simplify: iters left: 5 (131 enodes) 1546937664.885 * * [misc]simplify: iters left: 4 (469 enodes) 1546937665.163 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) 1546937665.163 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937665.164 * * * * [misc]progress: [ 21 / 5901 ] simplifiying candidate # 1546937665.164 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937665.164 * * [misc]simplify: iters left: 6 (42 enodes) 1546937665.171 * * [misc]simplify: iters left: 5 (111 enodes) 1546937665.194 * * [misc]simplify: iters left: 4 (388 enodes) 1546937665.455 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 1546937665.455 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937665.455 * * * * [misc]progress: [ 22 / 5901 ] simplifiying candidate # 1546937665.456 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937665.456 * * [misc]simplify: iters left: 6 (47 enodes) 1546937665.472 * * [misc]simplify: iters left: 5 (125 enodes) 1546937665.520 * * [misc]simplify: iters left: 4 (412 enodes) 1546937665.766 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 1546937665.766 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937665.766 * * * * [misc]progress: [ 23 / 5901 ] simplifiying candidate # 1546937665.766 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937665.767 * * [misc]simplify: iters left: 6 (42 enodes) 1546937665.775 * * [misc]simplify: iters left: 5 (111 enodes) 1546937665.804 * * [misc]simplify: iters left: 4 (379 enodes) 1546937665.977 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937665.977 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937665.977 * * * * [misc]progress: [ 24 / 5901 ] simplifiying candidate # 1546937665.977 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937665.977 * * [misc]simplify: iters left: 6 (47 enodes) 1546937665.986 * * [misc]simplify: iters left: 5 (125 enodes) 1546937666.023 * * [misc]simplify: iters left: 4 (412 enodes) 1546937666.311 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 1546937666.312 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937666.312 * * * * [misc]progress: [ 25 / 5901 ] simplifiying candidate # 1546937666.312 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937666.312 * * [misc]simplify: iters left: 6 (42 enodes) 1546937666.320 * * [misc]simplify: iters left: 5 (111 enodes) 1546937666.342 * * [misc]simplify: iters left: 4 (379 enodes) 1546937666.549 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937666.549 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937666.550 * * * * [misc]progress: [ 26 / 5901 ] simplifiying candidate # 1546937666.550 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937666.551 * * [misc]simplify: iters left: 6 (47 enodes) 1546937666.567 * * [misc]simplify: iters left: 5 (123 enodes) 1546937666.612 * * [misc]simplify: iters left: 4 (437 enodes) 1546937666.959 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937666.959 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937666.960 * * * * [misc]progress: [ 27 / 5901 ] simplifiying candidate # 1546937666.960 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937666.960 * * [misc]simplify: iters left: 6 (48 enodes) 1546937666.969 * * [misc]simplify: iters left: 5 (130 enodes) 1546937666.994 * * [misc]simplify: iters left: 4 (468 enodes) 1546937667.350 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) 1546937667.350 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937667.350 * * * * [misc]progress: [ 28 / 5901 ] simplifiying candidate # 1546937667.351 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937667.352 * * [misc]simplify: iters left: 6 (48 enodes) 1546937667.370 * * [misc]simplify: iters left: 5 (130 enodes) 1546937667.409 * * [misc]simplify: iters left: 4 (466 enodes) 1546937667.718 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) 1546937667.718 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937667.718 * * * * [misc]progress: [ 29 / 5901 ] simplifiying candidate # 1546937667.718 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937667.719 * * [misc]simplify: iters left: 6 (42 enodes) 1546937667.732 * * [misc]simplify: iters left: 5 (110 enodes) 1546937667.774 * * [misc]simplify: iters left: 4 (385 enodes) 1546937667.978 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) 1546937667.978 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937667.979 * * * * [misc]progress: [ 30 / 5901 ] simplifiying candidate # 1546937667.979 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937667.979 * * [misc]simplify: iters left: 6 (47 enodes) 1546937667.988 * * [misc]simplify: iters left: 5 (124 enodes) 1546937668.027 * * [misc]simplify: iters left: 4 (409 enodes) 1546937668.299 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937668.299 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937668.299 * * * * [misc]progress: [ 31 / 5901 ] simplifiying candidate # 1546937668.300 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937668.300 * * [misc]simplify: iters left: 6 (42 enodes) 1546937668.310 * * [misc]simplify: iters left: 5 (110 enodes) 1546937668.333 * * [misc]simplify: iters left: 4 (376 enodes) 1546937668.597 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937668.597 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937668.597 * * * * [misc]progress: [ 32 / 5901 ] simplifiying candidate # 1546937668.598 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937668.598 * * [misc]simplify: iters left: 6 (47 enodes) 1546937668.614 * * [misc]simplify: iters left: 5 (124 enodes) 1546937668.643 * * [misc]simplify: iters left: 4 (409 enodes) 1546937668.852 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937668.852 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937668.852 * * * * [misc]progress: [ 33 / 5901 ] simplifiying candidate # 1546937668.852 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937668.853 * * [misc]simplify: iters left: 6 (42 enodes) 1546937668.863 * * [misc]simplify: iters left: 5 (110 enodes) 1546937668.910 * * [misc]simplify: iters left: 4 (376 enodes) 1546937669.123 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937669.123 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937669.123 * * * * [misc]progress: [ 34 / 5901 ] simplifiying candidate # 1546937669.123 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937669.124 * * [misc]simplify: iters left: 6 (47 enodes) 1546937669.140 * * [misc]simplify: iters left: 5 (122 enodes) 1546937669.180 * * [misc]simplify: iters left: 4 (400 enodes) 1546937669.437 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937669.437 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937669.437 * * * * [misc]progress: [ 35 / 5901 ] simplifiying candidate # 1546937669.437 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937669.438 * * [misc]simplify: iters left: 6 (48 enodes) 1546937669.446 * * [misc]simplify: iters left: 5 (129 enodes) 1546937669.476 * * [misc]simplify: iters left: 4 (431 enodes) 1546937669.862 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) 1546937669.862 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937669.863 * * * * [misc]progress: [ 36 / 5901 ] simplifiying candidate # 1546937669.863 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937669.864 * * [misc]simplify: iters left: 6 (48 enodes) 1546937669.881 * * [misc]simplify: iters left: 5 (129 enodes) 1546937669.925 * * [misc]simplify: iters left: 4 (429 enodes) 1546937670.273 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) 1546937670.273 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937670.273 * * * * [misc]progress: [ 37 / 5901 ] simplifiying candidate # 1546937670.274 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937670.274 * * [misc]simplify: iters left: 6 (42 enodes) 1546937670.284 * * [misc]simplify: iters left: 5 (109 enodes) 1546937670.308 * * [misc]simplify: iters left: 4 (348 enodes) 1546937670.491 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) 1546937670.491 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937670.491 * * * * [misc]progress: [ 38 / 5901 ] simplifiying candidate # 1546937670.491 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937670.492 * * [misc]simplify: iters left: 6 (47 enodes) 1546937670.502 * * [misc]simplify: iters left: 5 (123 enodes) 1546937670.537 * * [misc]simplify: iters left: 4 (372 enodes) 1546937670.768 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937670.768 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937670.768 * * * * [misc]progress: [ 39 / 5901 ] simplifiying candidate # 1546937670.768 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937670.769 * * [misc]simplify: iters left: 6 (42 enodes) 1546937670.776 * * [misc]simplify: iters left: 5 (109 enodes) 1546937670.801 * * [misc]simplify: iters left: 4 (339 enodes) 1546937670.973 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937670.973 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937670.973 * * * * [misc]progress: [ 40 / 5901 ] simplifiying candidate # 1546937670.974 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937670.974 * * [misc]simplify: iters left: 6 (47 enodes) 1546937670.982 * * [misc]simplify: iters left: 5 (123 enodes) 1546937671.031 * * [misc]simplify: iters left: 4 (372 enodes) 1546937671.300 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937671.300 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937671.300 * * * * [misc]progress: [ 41 / 5901 ] simplifiying candidate # 1546937671.301 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937671.301 * * [misc]simplify: iters left: 6 (42 enodes) 1546937671.310 * * [misc]simplify: iters left: 5 (109 enodes) 1546937671.331 * * [misc]simplify: iters left: 4 (339 enodes) 1546937671.591 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937671.591 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937671.591 * * * * [misc]progress: [ 42 / 5901 ] simplifiying candidate # 1546937671.592 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937671.592 * * [misc]simplify: iters left: 6 (45 enodes) 1546937671.608 * * [misc]simplify: iters left: 5 (112 enodes) 1546937671.654 * * [misc]simplify: iters left: 4 (385 enodes) 1546937672.012 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 1546937672.012 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937672.012 * * * * [misc]progress: [ 43 / 5901 ] simplifiying candidate # 1546937672.013 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937672.013 * * [misc]simplify: iters left: 6 (46 enodes) 1546937672.030 * * [misc]simplify: iters left: 5 (119 enodes) 1546937672.077 * * [misc]simplify: iters left: 4 (416 enodes) 1546937672.438 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))))))) 1546937672.438 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937672.438 * * * * [misc]progress: [ 44 / 5901 ] simplifiying candidate # 1546937672.438 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937672.438 * * [misc]simplify: iters left: 6 (46 enodes) 1546937672.447 * * [misc]simplify: iters left: 5 (119 enodes) 1546937672.470 * * [misc]simplify: iters left: 4 (414 enodes) 1546937672.793 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 1546937672.793 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937672.793 * * * * [misc]progress: [ 45 / 5901 ] simplifiying candidate # 1546937672.793 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937672.793 * * [misc]simplify: iters left: 6 (40 enodes) 1546937672.800 * * [misc]simplify: iters left: 5 (99 enodes) 1546937672.820 * * [misc]simplify: iters left: 4 (333 enodes) 1546937673.044 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) 1546937673.044 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937673.044 * * * * [misc]progress: [ 46 / 5901 ] simplifiying candidate # 1546937673.045 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937673.046 * * [misc]simplify: iters left: 6 (45 enodes) 1546937673.061 * * [misc]simplify: iters left: 5 (113 enodes) 1546937673.108 * * [misc]simplify: iters left: 4 (357 enodes) 1546937673.341 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 1546937673.342 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937673.342 * * * * [misc]progress: [ 47 / 5901 ] simplifiying candidate # 1546937673.342 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937673.343 * * [misc]simplify: iters left: 6 (40 enodes) 1546937673.356 * * [misc]simplify: iters left: 5 (99 enodes) 1546937673.387 * * [misc]simplify: iters left: 4 (324 enodes) 1546937673.569 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937673.569 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937673.569 * * * * [misc]progress: [ 48 / 5901 ] simplifiying candidate # 1546937673.570 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937673.570 * * [misc]simplify: iters left: 6 (45 enodes) 1546937673.580 * * [misc]simplify: iters left: 5 (113 enodes) 1546937673.617 * * [misc]simplify: iters left: 4 (357 enodes) 1546937673.823 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) 1546937673.823 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937673.823 * * * * [misc]progress: [ 49 / 5901 ] simplifiying candidate # 1546937673.824 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937673.824 * * [misc]simplify: iters left: 6 (40 enodes) 1546937673.838 * * [misc]simplify: iters left: 5 (99 enodes) 1546937673.872 * * [misc]simplify: iters left: 4 (324 enodes) 1546937674.022 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937674.022 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937674.022 * * * * [misc]progress: [ 50 / 5901 ] simplifiying candidate # 1546937674.023 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937674.023 * * [misc]simplify: iters left: 6 (48 enodes) 1546937674.032 * * [misc]simplify: iters left: 5 (120 enodes) 1546937674.055 * * [misc]simplify: iters left: 4 (408 enodes) 1546937674.345 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937674.345 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937674.346 * * * * [misc]progress: [ 51 / 5901 ] simplifiying candidate # 1546937674.346 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937674.347 * * [misc]simplify: iters left: 6 (49 enodes) 1546937674.364 * * [misc]simplify: iters left: 5 (127 enodes) 1546937674.414 * * [misc]simplify: iters left: 4 (439 enodes) 1546937674.759 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) 1546937674.759 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937674.759 * * * * [misc]progress: [ 52 / 5901 ] simplifiying candidate # 1546937674.760 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937674.760 * * [misc]simplify: iters left: 6 (49 enodes) 1546937674.778 * * [misc]simplify: iters left: 5 (127 enodes) 1546937674.827 * * [misc]simplify: iters left: 4 (437 enodes) 1546937675.181 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))))))) 1546937675.181 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937675.181 * * * * [misc]progress: [ 53 / 5901 ] simplifiying candidate # 1546937675.182 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937675.182 * * [misc]simplify: iters left: 6 (43 enodes) 1546937675.190 * * [misc]simplify: iters left: 5 (107 enodes) 1546937675.213 * * [misc]simplify: iters left: 4 (356 enodes) 1546937675.430 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) 1546937675.430 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937675.430 * * * * [misc]progress: [ 54 / 5901 ] simplifiying candidate # 1546937675.431 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937675.431 * * [misc]simplify: iters left: 6 (48 enodes) 1546937675.448 * * [misc]simplify: iters left: 5 (121 enodes) 1546937675.479 * * [misc]simplify: iters left: 4 (380 enodes) 1546937675.711 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))))) 1546937675.712 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937675.712 * * * * [misc]progress: [ 55 / 5901 ] simplifiying candidate # 1546937675.714 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937675.715 * * [misc]simplify: iters left: 6 (43 enodes) 1546937675.723 * * [misc]simplify: iters left: 5 (107 enodes) 1546937675.752 * * [misc]simplify: iters left: 4 (347 enodes) 1546937676.000 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937676.000 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937676.000 * * * * [misc]progress: [ 56 / 5901 ] simplifiying candidate # 1546937676.001 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937676.001 * * [misc]simplify: iters left: 6 (48 enodes) 1546937676.010 * * [misc]simplify: iters left: 5 (121 enodes) 1546937676.036 * * [misc]simplify: iters left: 4 (380 enodes) 1546937676.220 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))))) 1546937676.220 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937676.220 * * * * [misc]progress: [ 57 / 5901 ] simplifiying candidate # 1546937676.220 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937676.221 * * [misc]simplify: iters left: 6 (43 enodes) 1546937676.228 * * [misc]simplify: iters left: 5 (107 enodes) 1546937676.251 * * [misc]simplify: iters left: 4 (347 enodes) 1546937676.433 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937676.433 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937676.433 * * * * [misc]progress: [ 58 / 5901 ] simplifiying candidate # 1546937676.434 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937676.434 * * [misc]simplify: iters left: 6 (45 enodes) 1546937676.442 * * [misc]simplify: iters left: 5 (113 enodes) 1546937676.468 * * [misc]simplify: iters left: 4 (386 enodes) 1546937676.766 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) 1546937676.767 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937676.768 * * * * [misc]progress: [ 59 / 5901 ] simplifiying candidate # 1546937676.768 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937676.768 * * [misc]simplify: iters left: 6 (46 enodes) 1546937676.786 * * [misc]simplify: iters left: 5 (120 enodes) 1546937676.835 * * [misc]simplify: iters left: 4 (417 enodes) 1546937677.167 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) 1546937677.168 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937677.168 * * * * [misc]progress: [ 60 / 5901 ] simplifiying candidate # 1546937677.168 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937677.169 * * [misc]simplify: iters left: 6 (46 enodes) 1546937677.185 * * [misc]simplify: iters left: 5 (120 enodes) 1546937677.241 * * [misc]simplify: iters left: 4 (415 enodes) 1546937677.588 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) 1546937677.588 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937677.588 * * * * [misc]progress: [ 61 / 5901 ] simplifiying candidate # 1546937677.588 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937677.589 * * [misc]simplify: iters left: 6 (40 enodes) 1546937677.596 * * [misc]simplify: iters left: 5 (100 enodes) 1546937677.619 * * [misc]simplify: iters left: 4 (334 enodes) 1546937677.803 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))))) 1546937677.803 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937677.803 * * * * [misc]progress: [ 62 / 5901 ] simplifiying candidate # 1546937677.803 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937677.804 * * [misc]simplify: iters left: 6 (45 enodes) 1546937677.811 * * [misc]simplify: iters left: 5 (114 enodes) 1546937677.842 * * [misc]simplify: iters left: 4 (358 enodes) 1546937678.096 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) 1546937678.096 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937678.096 * * * * [misc]progress: [ 63 / 5901 ] simplifiying candidate # 1546937678.096 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937678.096 * * [misc]simplify: iters left: 6 (40 enodes) 1546937678.106 * * [misc]simplify: iters left: 5 (100 enodes) 1546937678.126 * * [misc]simplify: iters left: 4 (325 enodes) 1546937678.338 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937678.338 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937678.338 * * * * [misc]progress: [ 64 / 5901 ] simplifiying candidate # 1546937678.339 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937678.339 * * [misc]simplify: iters left: 6 (45 enodes) 1546937678.351 * * [misc]simplify: iters left: 5 (114 enodes) 1546937678.373 * * [misc]simplify: iters left: 4 (358 enodes) 1546937678.596 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) 1546937678.596 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937678.596 * * * * [misc]progress: [ 65 / 5901 ] simplifiying candidate # 1546937678.597 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937678.597 * * [misc]simplify: iters left: 6 (40 enodes) 1546937678.612 * * [misc]simplify: iters left: 5 (100 enodes) 1546937678.637 * * [misc]simplify: iters left: 4 (325 enodes) 1546937678.875 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937678.876 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937678.876 * * * * [misc]progress: [ 66 / 5901 ] simplifiying candidate # 1546937678.876 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937678.877 * * [misc]simplify: iters left: 6 (48 enodes) 1546937678.894 * * [misc]simplify: iters left: 5 (120 enodes) 1546937678.929 * * [misc]simplify: iters left: 4 (408 enodes) 1546937679.202 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937679.202 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937679.202 * * * * [misc]progress: [ 67 / 5901 ] simplifiying candidate # 1546937679.202 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937679.203 * * [misc]simplify: iters left: 6 (49 enodes) 1546937679.211 * * [misc]simplify: iters left: 5 (127 enodes) 1546937679.245 * * [misc]simplify: iters left: 4 (439 enodes) 1546937679.621 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) 1546937679.621 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937679.621 * * * * [misc]progress: [ 68 / 5901 ] simplifiying candidate # 1546937679.621 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937679.622 * * [misc]simplify: iters left: 6 (49 enodes) 1546937679.639 * * [misc]simplify: iters left: 5 (127 enodes) 1546937679.664 * * [misc]simplify: iters left: 4 (437 enodes) 1546937679.998 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (+ phi2 phi1) (- (pow phi1 3) (pow phi2 3))) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) 1546937679.998 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (* (* (+ phi2 phi1) (- (pow phi1 3) (pow phi2 3))) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937679.998 * * * * [misc]progress: [ 69 / 5901 ] simplifiying candidate # 1546937679.999 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937679.999 * * [misc]simplify: iters left: 6 (43 enodes) 1546937680.015 * * [misc]simplify: iters left: 5 (107 enodes) 1546937680.059 * * [misc]simplify: iters left: 4 (356 enodes) 1546937680.281 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))))))) 1546937680.282 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937680.282 * * * * [misc]progress: [ 70 / 5901 ] simplifiying candidate # 1546937680.282 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937680.282 * * [misc]simplify: iters left: 6 (48 enodes) 1546937680.291 * * [misc]simplify: iters left: 5 (121 enodes) 1546937680.315 * * [misc]simplify: iters left: 4 (380 enodes) 1546937680.540 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) 1546937680.540 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937680.541 * * * * [misc]progress: [ 71 / 5901 ] simplifiying candidate # 1546937680.541 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937680.541 * * [misc]simplify: iters left: 6 (43 enodes) 1546937680.549 * * [misc]simplify: iters left: 5 (107 enodes) 1546937680.569 * * [misc]simplify: iters left: 4 (347 enodes) 1546937680.780 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937680.780 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937680.780 * * * * [misc]progress: [ 72 / 5901 ] simplifiying candidate # 1546937680.781 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937680.781 * * [misc]simplify: iters left: 6 (48 enodes) 1546937680.790 * * [misc]simplify: iters left: 5 (121 enodes) 1546937680.815 * * [misc]simplify: iters left: 4 (380 enodes) 1546937681.037 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) 1546937681.038 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937681.038 * * * * [misc]progress: [ 73 / 5901 ] simplifiying candidate # 1546937681.038 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937681.038 * * [misc]simplify: iters left: 6 (43 enodes) 1546937681.046 * * [misc]simplify: iters left: 5 (107 enodes) 1546937681.069 * * [misc]simplify: iters left: 4 (347 enodes) 1546937681.326 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) 1546937681.326 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937681.326 * * * * [misc]progress: [ 74 / 5901 ] simplifiying candidate # 1546937681.327 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937681.328 * * [misc]simplify: iters left: 6 (47 enodes) 1546937681.345 * * [misc]simplify: iters left: 5 (122 enodes) 1546937681.373 * * [misc]simplify: iters left: 4 (430 enodes) 1546937681.683 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937681.683 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937681.683 * * * * [misc]progress: [ 75 / 5901 ] simplifiying candidate # 1546937681.683 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937681.684 * * [misc]simplify: iters left: 6 (48 enodes) 1546937681.692 * * [misc]simplify: iters left: 5 (129 enodes) 1546937681.734 * * [misc]simplify: iters left: 4 (461 enodes) 1546937682.063 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))) 1546937682.063 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937682.063 * * * * [misc]progress: [ 76 / 5901 ] simplifiying candidate # 1546937682.064 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937682.064 * * [misc]simplify: iters left: 6 (48 enodes) 1546937682.073 * * [misc]simplify: iters left: 5 (129 enodes) 1546937682.099 * * [misc]simplify: iters left: 4 (459 enodes) 1546937682.443 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))) 1546937682.443 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937682.443 * * * * [misc]progress: [ 77 / 5901 ] simplifiying candidate # 1546937682.444 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937682.444 * * [misc]simplify: iters left: 6 (42 enodes) 1546937682.460 * * [misc]simplify: iters left: 5 (110 enodes) 1546937682.490 * * [misc]simplify: iters left: 4 (380 enodes) 1546937682.741 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))) 1546937682.741 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937682.741 * * * * [misc]progress: [ 78 / 5901 ] simplifiying candidate # 1546937682.742 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937682.742 * * [misc]simplify: iters left: 6 (47 enodes) 1546937682.758 * * [misc]simplify: iters left: 5 (124 enodes) 1546937682.806 * * [misc]simplify: iters left: 4 (398 enodes) 1546937683.061 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937683.061 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937683.062 * * * * [misc]progress: [ 79 / 5901 ] simplifiying candidate # 1546937683.062 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937683.062 * * [misc]simplify: iters left: 6 (42 enodes) 1546937683.070 * * [misc]simplify: iters left: 5 (111 enodes) 1546937683.092 * * [misc]simplify: iters left: 4 (367 enodes) 1546937683.339 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937683.339 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937683.339 * * * * [misc]progress: [ 80 / 5901 ] simplifiying candidate # 1546937683.339 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937683.340 * * [misc]simplify: iters left: 6 (47 enodes) 1546937683.349 * * [misc]simplify: iters left: 5 (124 enodes) 1546937683.397 * * [misc]simplify: iters left: 4 (398 enodes) 1546937683.645 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937683.645 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937683.646 * * * * [misc]progress: [ 81 / 5901 ] simplifiying candidate # 1546937683.647 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937683.647 * * [misc]simplify: iters left: 6 (42 enodes) 1546937683.663 * * [misc]simplify: iters left: 5 (111 enodes) 1546937683.705 * * [misc]simplify: iters left: 4 (367 enodes) 1546937683.935 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937683.935 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937683.935 * * * * [misc]progress: [ 82 / 5901 ] simplifiying candidate # 1546937683.936 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937683.941 * * [misc]simplify: iters left: 6 (47 enodes) 1546937683.955 * * [misc]simplify: iters left: 5 (126 enodes) 1546937683.980 * * [misc]simplify: iters left: 4 (444 enodes) 1546937684.277 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937684.277 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937684.278 * * * * [misc]progress: [ 83 / 5901 ] simplifiying candidate # 1546937684.278 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937684.279 * * [misc]simplify: iters left: 6 (48 enodes) 1546937684.296 * * [misc]simplify: iters left: 5 (133 enodes) 1546937684.350 * * [misc]simplify: iters left: 4 (475 enodes) 1546937684.744 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) 1546937684.744 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937684.744 * * * * [misc]progress: [ 84 / 5901 ] simplifiying candidate # 1546937684.745 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937684.745 * * [misc]simplify: iters left: 6 (48 enodes) 1546937684.756 * * [misc]simplify: iters left: 5 (133 enodes) 1546937684.810 * * [misc]simplify: iters left: 4 (473 enodes) 1546937685.198 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 1546937685.198 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937685.198 * * * * [misc]progress: [ 85 / 5901 ] simplifiying candidate # 1546937685.198 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937685.199 * * [misc]simplify: iters left: 6 (42 enodes) 1546937685.209 * * [misc]simplify: iters left: 5 (113 enodes) 1546937685.233 * * [misc]simplify: iters left: 4 (392 enodes) 1546937685.536 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) 1546937685.536 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937685.536 * * * * [misc]progress: [ 86 / 5901 ] simplifiying candidate # 1546937685.537 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937685.541 * * [misc]simplify: iters left: 6 (47 enodes) 1546937685.557 * * [misc]simplify: iters left: 5 (127 enodes) 1546937685.591 * * [misc]simplify: iters left: 4 (416 enodes) 1546937685.792 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) 1546937685.792 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937685.792 * * * * [misc]progress: [ 87 / 5901 ] simplifiying candidate # 1546937685.792 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937685.793 * * [misc]simplify: iters left: 6 (42 enodes) 1546937685.808 * * [misc]simplify: iters left: 5 (113 enodes) 1546937685.852 * * [misc]simplify: iters left: 4 (383 enodes) 1546937686.743 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937686.743 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937686.743 * * * * [misc]progress: [ 88 / 5901 ] simplifiying candidate # 1546937686.744 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937686.744 * * [misc]simplify: iters left: 6 (47 enodes) 1546937686.753 * * [misc]simplify: iters left: 5 (127 enodes) 1546937686.798 * * [misc]simplify: iters left: 4 (416 enodes) 1546937687.091 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) 1546937687.092 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937687.092 * * * * [misc]progress: [ 89 / 5901 ] simplifiying candidate # 1546937687.092 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937687.093 * * [misc]simplify: iters left: 6 (42 enodes) 1546937687.108 * * [misc]simplify: iters left: 5 (113 enodes) 1546937687.139 * * [misc]simplify: iters left: 4 (383 enodes) 1546937687.353 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937687.353 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937687.353 * * * * [misc]progress: [ 90 / 5901 ] simplifiying candidate # 1546937687.353 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937687.353 * * [misc]simplify: iters left: 6 (51 enodes) 1546937687.363 * * [misc]simplify: iters left: 5 (137 enodes) 1546937687.390 * * [misc]simplify: iters left: 4 (480 enodes) 1546937687.819 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937687.819 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937687.819 * * * * [misc]progress: [ 91 / 5901 ] simplifiying candidate # 1546937687.819 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937687.820 * * [misc]simplify: iters left: 6 (52 enodes) 1546937687.829 * * [misc]simplify: iters left: 5 (144 enodes) 1546937687.873 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937687.873 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937687.873 * * * * [misc]progress: [ 92 / 5901 ] simplifiying candidate # 1546937687.873 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937687.874 * * [misc]simplify: iters left: 6 (52 enodes) 1546937687.884 * * [misc]simplify: iters left: 5 (144 enodes) 1546937687.943 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937687.943 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937687.944 * * * * [misc]progress: [ 93 / 5901 ] simplifiying candidate # 1546937687.944 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937687.945 * * [misc]simplify: iters left: 6 (46 enodes) 1546937687.954 * * [misc]simplify: iters left: 5 (124 enodes) 1546937687.978 * * [misc]simplify: iters left: 4 (426 enodes) 1546937688.217 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937688.217 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937688.217 * * * * [misc]progress: [ 94 / 5901 ] simplifiying candidate # 1546937688.218 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937688.218 * * [misc]simplify: iters left: 6 (51 enodes) 1546937688.227 * * [misc]simplify: iters left: 5 (138 enodes) 1546937688.258 * * [misc]simplify: iters left: 4 (454 enodes) 1546937688.615 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937688.615 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937688.615 * * * * [misc]progress: [ 95 / 5901 ] simplifiying candidate # 1546937688.616 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937688.616 * * [misc]simplify: iters left: 6 (46 enodes) 1546937688.631 * * [misc]simplify: iters left: 5 (124 enodes) 1546937688.670 * * [misc]simplify: iters left: 4 (422 enodes) 1546937688.924 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937688.925 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937688.925 * * * * [misc]progress: [ 96 / 5901 ] simplifiying candidate # 1546937688.925 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937688.926 * * [misc]simplify: iters left: 6 (51 enodes) 1546937688.950 * * [misc]simplify: iters left: 5 (138 enodes) 1546937688.984 * * [misc]simplify: iters left: 4 (454 enodes) 1546937689.223 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937689.223 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937689.223 * * * * [misc]progress: [ 97 / 5901 ] simplifiying candidate # 1546937689.223 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937689.223 * * [misc]simplify: iters left: 6 (46 enodes) 1546937689.232 * * [misc]simplify: iters left: 5 (124 enodes) 1546937689.259 * * [misc]simplify: iters left: 4 (422 enodes) 1546937689.587 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937689.587 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937689.587 * * * * [misc]progress: [ 98 / 5901 ] simplifiying candidate # 1546937689.588 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937689.588 * * [misc]simplify: iters left: 6 (51 enodes) 1546937689.598 * * [misc]simplify: iters left: 5 (139 enodes) 1546937689.626 * * [misc]simplify: iters left: 4 (486 enodes) 1546937690.050 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937690.051 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937690.051 * * * * [misc]progress: [ 99 / 5901 ] simplifiying candidate # 1546937690.051 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937690.052 * * [misc]simplify: iters left: 6 (52 enodes) 1546937690.075 * * [misc]simplify: iters left: 5 (146 enodes) 1546937690.137 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937690.138 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937690.138 * * * * [misc]progress: [ 100 / 5901 ] simplifiying candidate # 1546937690.138 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937690.139 * * [misc]simplify: iters left: 6 (52 enodes) 1546937690.158 * * [misc]simplify: iters left: 5 (146 enodes) 1546937690.244 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937690.244 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937690.244 * * * * [misc]progress: [ 101 / 5901 ] simplifiying candidate # 1546937690.245 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937690.245 * * [misc]simplify: iters left: 6 (46 enodes) 1546937690.259 * * [misc]simplify: iters left: 5 (126 enodes) 1546937690.285 * * [misc]simplify: iters left: 4 (434 enodes) 1546937690.637 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937690.637 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937690.637 * * * * [misc]progress: [ 102 / 5901 ] simplifiying candidate # 1546937690.638 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937690.638 * * [misc]simplify: iters left: 6 (51 enodes) 1546937690.652 * * [misc]simplify: iters left: 5 (140 enodes) 1546937690.688 * * [misc]simplify: iters left: 4 (458 enodes) 1546937691.088 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) 1546937691.088 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937691.089 * * * * [misc]progress: [ 103 / 5901 ] simplifiying candidate # 1546937691.089 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937691.089 * * [misc]simplify: iters left: 6 (46 enodes) 1546937691.105 * * [misc]simplify: iters left: 5 (126 enodes) 1546937691.157 * * [misc]simplify: iters left: 4 (425 enodes) 1546937691.411 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 1546937691.411 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937691.411 * * * * [misc]progress: [ 104 / 5901 ] simplifiying candidate # 1546937691.411 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937691.412 * * [misc]simplify: iters left: 6 (51 enodes) 1546937691.432 * * [misc]simplify: iters left: 5 (140 enodes) 1546937691.460 * * [misc]simplify: iters left: 4 (458 enodes) 1546937691.782 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) 1546937691.782 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937691.782 * * * * [misc]progress: [ 105 / 5901 ] simplifiying candidate # 1546937691.783 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937691.783 * * [misc]simplify: iters left: 6 (46 enodes) 1546937691.802 * * [misc]simplify: iters left: 5 (126 enodes) 1546937691.838 * * [misc]simplify: iters left: 4 (425 enodes) 1546937692.091 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937692.091 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937692.092 * * * * [misc]progress: [ 106 / 5901 ] simplifiying candidate # 1546937692.092 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937692.092 * * [misc]simplify: iters left: 6 (52 enodes) 1546937692.103 * * [misc]simplify: iters left: 5 (137 enodes) 1546937692.157 * * [misc]simplify: iters left: 4 (494 enodes) 1546937692.560 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))) 1546937692.560 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937692.560 * * * * [misc]progress: [ 107 / 5901 ] simplifiying candidate # 1546937692.561 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937692.561 * * [misc]simplify: iters left: 6 (53 enodes) 1546937692.581 * * [misc]simplify: iters left: 5 (144 enodes) 1546937692.635 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937692.635 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937692.636 * * * * [misc]progress: [ 108 / 5901 ] simplifiying candidate # 1546937692.636 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937692.637 * * [misc]simplify: iters left: 6 (53 enodes) 1546937692.655 * * [misc]simplify: iters left: 5 (144 enodes) 1546937692.735 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937692.736 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937692.736 * * * * [misc]progress: [ 109 / 5901 ] simplifiying candidate # 1546937692.736 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937692.737 * * [misc]simplify: iters left: 6 (47 enodes) 1546937692.754 * * [misc]simplify: iters left: 5 (124 enodes) 1546937692.805 * * [misc]simplify: iters left: 4 (442 enodes) 1546937693.133 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937693.133 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937693.133 * * * * [misc]progress: [ 110 / 5901 ] simplifiying candidate # 1546937693.134 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937693.134 * * [misc]simplify: iters left: 6 (52 enodes) 1546937693.143 * * [misc]simplify: iters left: 5 (138 enodes) 1546937693.174 * * [misc]simplify: iters left: 4 (466 enodes) 1546937693.553 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937693.553 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937693.553 * * * * [misc]progress: [ 111 / 5901 ] simplifiying candidate # 1546937693.553 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937693.553 * * [misc]simplify: iters left: 6 (47 enodes) 1546937693.565 * * [misc]simplify: iters left: 5 (124 enodes) 1546937693.610 * * [misc]simplify: iters left: 4 (433 enodes) 1546937693.937 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937693.937 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937693.937 * * * * [misc]progress: [ 112 / 5901 ] simplifiying candidate # 1546937693.937 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937693.938 * * [misc]simplify: iters left: 6 (52 enodes) 1546937693.947 * * [misc]simplify: iters left: 5 (138 enodes) 1546937693.991 * * [misc]simplify: iters left: 4 (466 enodes) 1546937694.310 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937694.310 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937694.310 * * * * [misc]progress: [ 113 / 5901 ] simplifiying candidate # 1546937694.311 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937694.311 * * [misc]simplify: iters left: 6 (47 enodes) 1546937694.324 * * [misc]simplify: iters left: 5 (124 enodes) 1546937694.372 * * [misc]simplify: iters left: 4 (433 enodes) 1546937694.656 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937694.656 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937694.657 * * * * [misc]progress: [ 114 / 5901 ] simplifiying candidate # 1546937694.657 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937694.657 * * [misc]simplify: iters left: 6 (52 enodes) 1546937694.669 * * [misc]simplify: iters left: 5 (137 enodes) 1546937694.698 * * [misc]simplify: iters left: 4 (496 enodes) 1546937695.075 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))))))) 1546937695.076 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937695.076 * * * * [misc]progress: [ 115 / 5901 ] simplifiying candidate # 1546937695.076 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937695.077 * * [misc]simplify: iters left: 6 (53 enodes) 1546937695.093 * * [misc]simplify: iters left: 5 (144 enodes) 1546937695.165 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937695.165 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937695.165 * * * * [misc]progress: [ 116 / 5901 ] simplifiying candidate # 1546937695.166 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937695.166 * * [misc]simplify: iters left: 6 (53 enodes) 1546937695.176 * * [misc]simplify: iters left: 5 (144 enodes) 1546937695.224 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937695.224 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937695.225 * * * * [misc]progress: [ 117 / 5901 ] simplifiying candidate # 1546937695.225 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937695.226 * * [misc]simplify: iters left: 6 (47 enodes) 1546937695.243 * * [misc]simplify: iters left: 5 (124 enodes) 1546937695.274 * * [misc]simplify: iters left: 4 (444 enodes) 1546937695.567 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937695.568 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937695.568 * * * * [misc]progress: [ 118 / 5901 ] simplifiying candidate # 1546937695.568 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937695.569 * * [misc]simplify: iters left: 6 (52 enodes) 1546937695.587 * * [misc]simplify: iters left: 5 (138 enodes) 1546937695.641 * * [misc]simplify: iters left: 4 (468 enodes) 1546937695.967 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937695.967 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937695.967 * * * * [misc]progress: [ 119 / 5901 ] simplifiying candidate # 1546937695.967 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937695.968 * * [misc]simplify: iters left: 6 (47 enodes) 1546937695.984 * * [misc]simplify: iters left: 5 (124 enodes) 1546937696.009 * * [misc]simplify: iters left: 4 (435 enodes) 1546937696.272 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))))) 1546937696.272 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937696.272 * * * * [misc]progress: [ 120 / 5901 ] simplifiying candidate # 1546937696.272 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937696.273 * * [misc]simplify: iters left: 6 (52 enodes) 1546937696.282 * * [misc]simplify: iters left: 5 (138 enodes) 1546937696.311 * * [misc]simplify: iters left: 4 (468 enodes) 1546937696.610 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937696.610 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937696.610 * * * * [misc]progress: [ 121 / 5901 ] simplifiying candidate # 1546937696.610 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937696.610 * * [misc]simplify: iters left: 6 (47 enodes) 1546937696.626 * * [misc]simplify: iters left: 5 (124 enodes) 1546937696.659 * * [misc]simplify: iters left: 4 (435 enodes) 1546937696.962 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937696.962 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937696.962 * * * * [misc]progress: [ 122 / 5901 ] simplifiying candidate # 1546937696.963 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937696.963 * * [misc]simplify: iters left: 6 (52 enodes) 1546937696.972 * * [misc]simplify: iters left: 5 (138 enodes) 1546937697.013 * * [misc]simplify: iters left: 4 (495 enodes) 1546937697.358 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))) 1546937697.358 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937697.358 * * * * [misc]progress: [ 123 / 5901 ] simplifiying candidate # 1546937697.358 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937697.359 * * [misc]simplify: iters left: 6 (53 enodes) 1546937697.368 * * [misc]simplify: iters left: 5 (145 enodes) 1546937697.416 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937697.416 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937697.417 * * * * [misc]progress: [ 124 / 5901 ] simplifiying candidate # 1546937697.417 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937697.417 * * [misc]simplify: iters left: 6 (53 enodes) 1546937697.427 * * [misc]simplify: iters left: 5 (145 enodes) 1546937697.482 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937697.483 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937697.483 * * * * [misc]progress: [ 125 / 5901 ] simplifiying candidate # 1546937697.483 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937697.483 * * [misc]simplify: iters left: 6 (47 enodes) 1546937697.492 * * [misc]simplify: iters left: 5 (125 enodes) 1546937697.521 * * [misc]simplify: iters left: 4 (443 enodes) 1546937697.785 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937697.786 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937697.786 * * * * [misc]progress: [ 126 / 5901 ] simplifiying candidate # 1546937697.786 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937697.786 * * [misc]simplify: iters left: 6 (52 enodes) 1546937697.800 * * [misc]simplify: iters left: 5 (139 enodes) 1546937697.835 * * [misc]simplify: iters left: 4 (467 enodes) 1546937698.136 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937698.136 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937698.136 * * * * [misc]progress: [ 127 / 5901 ] simplifiying candidate # 1546937698.136 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937698.137 * * [misc]simplify: iters left: 6 (47 enodes) 1546937698.148 * * [misc]simplify: iters left: 5 (125 enodes) 1546937698.172 * * [misc]simplify: iters left: 4 (434 enodes) 1546937698.393 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 1546937698.394 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937698.394 * * * * [misc]progress: [ 128 / 5901 ] simplifiying candidate # 1546937698.394 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937698.394 * * [misc]simplify: iters left: 6 (52 enodes) 1546937698.404 * * [misc]simplify: iters left: 5 (139 enodes) 1546937698.441 * * [misc]simplify: iters left: 4 (467 enodes) 1546937698.812 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937698.812 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937698.812 * * * * [misc]progress: [ 129 / 5901 ] simplifiying candidate # 1546937698.813 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937698.813 * * [misc]simplify: iters left: 6 (47 enodes) 1546937698.829 * * [misc]simplify: iters left: 5 (125 enodes) 1546937698.876 * * [misc]simplify: iters left: 4 (434 enodes) 1546937699.134 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 1546937699.134 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937699.134 * * * * [misc]progress: [ 130 / 5901 ] simplifiying candidate # 1546937699.135 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937699.135 * * [misc]simplify: iters left: 6 (52 enodes) 1546937699.149 * * [misc]simplify: iters left: 5 (138 enodes) 1546937699.199 * * [misc]simplify: iters left: 4 (497 enodes) 1546937699.555 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))))))) 1546937699.555 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937699.556 * * * * [misc]progress: [ 131 / 5901 ] simplifiying candidate # 1546937699.556 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937699.556 * * [misc]simplify: iters left: 6 (53 enodes) 1546937699.566 * * [misc]simplify: iters left: 5 (145 enodes) 1546937699.621 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937699.621 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937699.622 * * * * [misc]progress: [ 132 / 5901 ] simplifiying candidate # 1546937699.622 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937699.622 * * [misc]simplify: iters left: 6 (53 enodes) 1546937699.632 * * [misc]simplify: iters left: 5 (145 enodes) 1546937699.678 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937699.679 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937699.679 * * * * [misc]progress: [ 133 / 5901 ] simplifiying candidate # 1546937699.679 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937699.680 * * [misc]simplify: iters left: 6 (47 enodes) 1546937699.694 * * [misc]simplify: iters left: 5 (125 enodes) 1546937699.737 * * [misc]simplify: iters left: 4 (445 enodes) 1546937700.026 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937700.026 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937700.026 * * * * [misc]progress: [ 134 / 5901 ] simplifiying candidate # 1546937700.026 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937700.026 * * [misc]simplify: iters left: 6 (52 enodes) 1546937700.036 * * [misc]simplify: iters left: 5 (139 enodes) 1546937700.088 * * [misc]simplify: iters left: 4 (469 enodes) 1546937700.397 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937700.397 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937700.397 * * * * [misc]progress: [ 135 / 5901 ] simplifiying candidate # 1546937700.397 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937700.398 * * [misc]simplify: iters left: 6 (47 enodes) 1546937700.408 * * [misc]simplify: iters left: 5 (125 enodes) 1546937700.461 * * [misc]simplify: iters left: 4 (436 enodes) 1546937700.722 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 1546937700.722 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937700.722 * * * * [misc]progress: [ 136 / 5901 ] simplifiying candidate # 1546937700.722 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937700.723 * * [misc]simplify: iters left: 6 (52 enodes) 1546937700.737 * * [misc]simplify: iters left: 5 (139 enodes) 1546937700.789 * * [misc]simplify: iters left: 4 (469 enodes) 1546937701.131 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937701.131 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937701.131 * * * * [misc]progress: [ 137 / 5901 ] simplifiying candidate # 1546937701.131 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937701.131 * * [misc]simplify: iters left: 6 (47 enodes) 1546937701.140 * * [misc]simplify: iters left: 5 (125 enodes) 1546937701.173 * * [misc]simplify: iters left: 4 (436 enodes) 1546937701.427 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 1546937701.427 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937701.428 * * * * [misc]progress: [ 138 / 5901 ] simplifiying candidate # 1546937701.428 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937701.428 * * [misc]simplify: iters left: 6 (47 enodes) 1546937701.441 * * [misc]simplify: iters left: 5 (121 enodes) 1546937701.467 * * [misc]simplify: iters left: 4 (427 enodes) 1546937701.746 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937701.746 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937701.746 * * * * [misc]progress: [ 139 / 5901 ] simplifiying candidate # 1546937701.747 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937701.747 * * [misc]simplify: iters left: 6 (48 enodes) 1546937701.763 * * [misc]simplify: iters left: 5 (128 enodes) 1546937701.814 * * [misc]simplify: iters left: 4 (458 enodes) 1546937702.171 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 1546937702.171 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937702.172 * * * * [misc]progress: [ 140 / 5901 ] simplifiying candidate # 1546937702.172 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937702.173 * * [misc]simplify: iters left: 6 (48 enodes) 1546937702.188 * * [misc]simplify: iters left: 5 (128 enodes) 1546937702.230 * * [misc]simplify: iters left: 4 (456 enodes) 1546937702.560 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 1546937702.560 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937702.560 * * * * [misc]progress: [ 141 / 5901 ] simplifiying candidate # 1546937702.561 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937702.561 * * [misc]simplify: iters left: 6 (42 enodes) 1546937702.576 * * [misc]simplify: iters left: 5 (109 enodes) 1546937702.601 * * [misc]simplify: iters left: 4 (377 enodes) 1546937702.864 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))) 1546937702.864 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937702.864 * * * * [misc]progress: [ 142 / 5901 ] simplifiying candidate # 1546937702.865 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937702.865 * * [misc]simplify: iters left: 6 (47 enodes) 1546937702.873 * * [misc]simplify: iters left: 5 (123 enodes) 1546937702.900 * * [misc]simplify: iters left: 4 (395 enodes) 1546937703.115 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937703.115 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937703.115 * * * * [misc]progress: [ 143 / 5901 ] simplifiying candidate # 1546937703.115 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937703.116 * * [misc]simplify: iters left: 6 (42 enodes) 1546937703.123 * * [misc]simplify: iters left: 5 (110 enodes) 1546937703.144 * * [misc]simplify: iters left: 4 (364 enodes) 1546937703.323 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937703.323 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937703.323 * * * * [misc]progress: [ 144 / 5901 ] simplifiying candidate # 1546937703.323 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937703.324 * * [misc]simplify: iters left: 6 (47 enodes) 1546937703.332 * * [misc]simplify: iters left: 5 (123 enodes) 1546937703.356 * * [misc]simplify: iters left: 4 (395 enodes) 1546937703.559 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937703.559 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937703.559 * * * * [misc]progress: [ 145 / 5901 ] simplifiying candidate # 1546937703.559 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937703.559 * * [misc]simplify: iters left: 6 (42 enodes) 1546937703.567 * * [misc]simplify: iters left: 5 (110 enodes) 1546937703.597 * * [misc]simplify: iters left: 4 (364 enodes) 1546937703.756 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937703.756 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937703.756 * * * * [misc]progress: [ 146 / 5901 ] simplifiying candidate # 1546937703.757 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937703.757 * * [misc]simplify: iters left: 6 (51 enodes) 1546937703.776 * * [misc]simplify: iters left: 5 (137 enodes) 1546937703.807 * * [misc]simplify: iters left: 4 (480 enodes) 1546937704.167 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937704.167 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937704.167 * * * * [misc]progress: [ 147 / 5901 ] simplifiying candidate # 1546937704.167 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937704.168 * * [misc]simplify: iters left: 6 (52 enodes) 1546937704.187 * * [misc]simplify: iters left: 5 (144 enodes) 1546937704.262 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937704.262 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937704.262 * * * * [misc]progress: [ 148 / 5901 ] simplifiying candidate # 1546937704.263 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937704.264 * * [misc]simplify: iters left: 6 (52 enodes) 1546937704.283 * * [misc]simplify: iters left: 5 (144 enodes) 1546937704.358 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937704.358 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937704.358 * * * * [misc]progress: [ 149 / 5901 ] simplifiying candidate # 1546937704.359 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937704.359 * * [misc]simplify: iters left: 6 (46 enodes) 1546937704.368 * * [misc]simplify: iters left: 5 (124 enodes) 1546937704.393 * * [misc]simplify: iters left: 4 (426 enodes) 1546937704.726 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) 1546937704.726 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937704.727 * * * * [misc]progress: [ 150 / 5901 ] simplifiying candidate # 1546937704.727 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937704.727 * * [misc]simplify: iters left: 6 (51 enodes) 1546937704.736 * * [misc]simplify: iters left: 5 (138 enodes) 1546937704.763 * * [misc]simplify: iters left: 4 (454 enodes) 1546937705.067 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937705.067 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937705.068 * * * * [misc]progress: [ 151 / 5901 ] simplifiying candidate # 1546937705.068 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937705.069 * * [misc]simplify: iters left: 6 (46 enodes) 1546937705.089 * * [misc]simplify: iters left: 5 (124 enodes) 1546937705.126 * * [misc]simplify: iters left: 4 (422 enodes) 1546937705.453 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937705.453 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937705.453 * * * * [misc]progress: [ 152 / 5901 ] simplifiying candidate # 1546937705.454 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937705.454 * * [misc]simplify: iters left: 6 (51 enodes) 1546937705.472 * * [misc]simplify: iters left: 5 (138 enodes) 1546937705.524 * * [misc]simplify: iters left: 4 (454 enodes) 1546937705.834 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937705.834 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937705.834 * * * * [misc]progress: [ 153 / 5901 ] simplifiying candidate # 1546937705.835 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937705.835 * * [misc]simplify: iters left: 6 (46 enodes) 1546937705.846 * * [misc]simplify: iters left: 5 (124 enodes) 1546937705.888 * * [misc]simplify: iters left: 4 (422 enodes) 1546937706.207 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937706.207 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937706.207 * * * * [misc]progress: [ 154 / 5901 ] simplifiying candidate # 1546937706.208 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937706.208 * * [misc]simplify: iters left: 6 (47 enodes) 1546937706.221 * * [misc]simplify: iters left: 5 (125 enodes) 1546937706.254 * * [misc]simplify: iters left: 4 (441 enodes) 1546937706.595 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937706.595 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937706.595 * * * * [misc]progress: [ 155 / 5901 ] simplifiying candidate # 1546937706.596 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937706.597 * * [misc]simplify: iters left: 6 (48 enodes) 1546937706.613 * * [misc]simplify: iters left: 5 (132 enodes) 1546937706.669 * * [misc]simplify: iters left: 4 (472 enodes) 1546937707.051 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 1546937707.051 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937707.051 * * * * [misc]progress: [ 156 / 5901 ] simplifiying candidate # 1546937707.051 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937707.052 * * [misc]simplify: iters left: 6 (48 enodes) 1546937707.061 * * [misc]simplify: iters left: 5 (132 enodes) 1546937707.115 * * [misc]simplify: iters left: 4 (470 enodes) 1546937707.517 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 1546937707.517 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937707.518 * * * * [misc]progress: [ 157 / 5901 ] simplifiying candidate # 1546937707.518 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937707.518 * * [misc]simplify: iters left: 6 (42 enodes) 1546937707.526 * * [misc]simplify: iters left: 5 (112 enodes) 1546937707.561 * * [misc]simplify: iters left: 4 (389 enodes) 1546937707.810 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) 1546937707.810 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937707.811 * * * * [misc]progress: [ 158 / 5901 ] simplifiying candidate # 1546937707.811 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937707.811 * * [misc]simplify: iters left: 6 (47 enodes) 1546937707.820 * * [misc]simplify: iters left: 5 (126 enodes) 1546937707.853 * * [misc]simplify: iters left: 4 (413 enodes) 1546937708.064 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937708.064 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937708.064 * * * * [misc]progress: [ 159 / 5901 ] simplifiying candidate # 1546937708.064 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937708.064 * * [misc]simplify: iters left: 6 (42 enodes) 1546937708.072 * * [misc]simplify: iters left: 5 (112 enodes) 1546937708.108 * * [misc]simplify: iters left: 4 (380 enodes) 1546937708.366 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 1546937708.366 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937708.366 * * * * [misc]progress: [ 160 / 5901 ] simplifiying candidate # 1546937708.367 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937708.368 * * [misc]simplify: iters left: 6 (47 enodes) 1546937708.378 * * [misc]simplify: iters left: 5 (126 enodes) 1546937708.403 * * [misc]simplify: iters left: 4 (413 enodes) 1546937708.694 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937708.694 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937708.694 * * * * [misc]progress: [ 161 / 5901 ] simplifiying candidate # 1546937708.695 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937708.695 * * [misc]simplify: iters left: 6 (42 enodes) 1546937708.709 * * [misc]simplify: iters left: 5 (112 enodes) 1546937708.754 * * [misc]simplify: iters left: 4 (380 enodes) 1546937708.963 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 1546937708.963 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937708.963 * * * * [misc]progress: [ 162 / 5901 ] simplifiying candidate # 1546937708.963 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937708.964 * * [misc]simplify: iters left: 6 (51 enodes) 1546937708.975 * * [misc]simplify: iters left: 5 (139 enodes) 1546937709.003 * * [misc]simplify: iters left: 4 (484 enodes) 1546937709.385 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937709.385 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937709.389 * * * * [misc]progress: [ 163 / 5901 ] simplifiying candidate # 1546937709.390 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937709.390 * * [misc]simplify: iters left: 6 (52 enodes) 1546937709.409 * * [misc]simplify: iters left: 5 (146 enodes) 1546937709.461 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937709.461 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937709.461 * * * * [misc]progress: [ 164 / 5901 ] simplifiying candidate # 1546937709.462 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937709.463 * * [misc]simplify: iters left: 6 (52 enodes) 1546937709.481 * * [misc]simplify: iters left: 5 (146 enodes) 1546937709.552 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937709.552 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937709.552 * * * * [misc]progress: [ 165 / 5901 ] simplifiying candidate # 1546937709.553 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937709.553 * * [misc]simplify: iters left: 6 (46 enodes) 1546937709.561 * * [misc]simplify: iters left: 5 (126 enodes) 1546937709.586 * * [misc]simplify: iters left: 4 (432 enodes) 1546937709.870 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937709.870 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937709.870 * * * * [misc]progress: [ 166 / 5901 ] simplifiying candidate # 1546937709.870 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937709.870 * * [misc]simplify: iters left: 6 (51 enodes) 1546937709.893 * * [misc]simplify: iters left: 5 (140 enodes) 1546937709.924 * * [misc]simplify: iters left: 4 (456 enodes) 1546937710.828 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937710.828 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937710.828 * * * * [misc]progress: [ 167 / 5901 ] simplifiying candidate # 1546937710.828 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937710.829 * * [misc]simplify: iters left: 6 (46 enodes) 1546937710.839 * * [misc]simplify: iters left: 5 (126 enodes) 1546937710.881 * * [misc]simplify: iters left: 4 (423 enodes) 1546937711.165 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937711.165 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937711.166 * * * * [misc]progress: [ 168 / 5901 ] simplifiying candidate # 1546937711.166 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937711.167 * * [misc]simplify: iters left: 6 (51 enodes) 1546937711.180 * * [misc]simplify: iters left: 5 (140 enodes) 1546937711.208 * * [misc]simplify: iters left: 4 (456 enodes) 1546937711.468 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937711.468 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937711.468 * * * * [misc]progress: [ 169 / 5901 ] simplifiying candidate # 1546937711.468 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937711.468 * * [misc]simplify: iters left: 6 (46 enodes) 1546937711.477 * * [misc]simplify: iters left: 5 (126 enodes) 1546937711.512 * * [misc]simplify: iters left: 4 (423 enodes) 1546937711.828 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937711.828 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937711.829 * * * * [misc]progress: [ 170 / 5901 ] simplifiying candidate # 1546937711.829 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937711.829 * * [misc]simplify: iters left: 6 (52 enodes) 1546937711.840 * * [misc]simplify: iters left: 5 (136 enodes) 1546937711.881 * * [misc]simplify: iters left: 4 (488 enodes) 1546937712.237 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 1546937712.238 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937712.238 * * * * [misc]progress: [ 171 / 5901 ] simplifiying candidate # 1546937712.238 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937712.239 * * [misc]simplify: iters left: 6 (53 enodes) 1546937712.258 * * [misc]simplify: iters left: 5 (143 enodes) 1546937712.338 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937712.338 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937712.339 * * * * [misc]progress: [ 172 / 5901 ] simplifiying candidate # 1546937712.339 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937712.340 * * [misc]simplify: iters left: 6 (53 enodes) 1546937712.358 * * [misc]simplify: iters left: 5 (143 enodes) 1546937712.437 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937712.437 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937712.437 * * * * [misc]progress: [ 173 / 5901 ] simplifiying candidate # 1546937712.438 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937712.438 * * [misc]simplify: iters left: 6 (47 enodes) 1546937712.455 * * [misc]simplify: iters left: 5 (123 enodes) 1546937712.503 * * [misc]simplify: iters left: 4 (436 enodes) 1546937712.816 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937712.816 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937712.816 * * * * [misc]progress: [ 174 / 5901 ] simplifiying candidate # 1546937712.816 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937712.817 * * [misc]simplify: iters left: 6 (52 enodes) 1546937712.827 * * [misc]simplify: iters left: 5 (137 enodes) 1546937712.860 * * [misc]simplify: iters left: 4 (460 enodes) 1546937713.210 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937713.210 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937713.210 * * * * [misc]progress: [ 175 / 5901 ] simplifiying candidate # 1546937713.211 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937713.211 * * [misc]simplify: iters left: 6 (47 enodes) 1546937713.226 * * [misc]simplify: iters left: 5 (123 enodes) 1546937713.251 * * [misc]simplify: iters left: 4 (427 enodes) 1546937713.566 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937713.566 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937713.567 * * * * [misc]progress: [ 176 / 5901 ] simplifiying candidate # 1546937713.567 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937713.567 * * [misc]simplify: iters left: 6 (52 enodes) 1546937713.580 * * [misc]simplify: iters left: 5 (137 enodes) 1546937713.609 * * [misc]simplify: iters left: 4 (460 enodes) 1546937713.948 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937713.948 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937713.948 * * * * [misc]progress: [ 177 / 5901 ] simplifiying candidate # 1546937713.949 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937713.949 * * [misc]simplify: iters left: 6 (47 enodes) 1546937713.965 * * [misc]simplify: iters left: 5 (123 enodes) 1546937714.016 * * [misc]simplify: iters left: 4 (427 enodes) 1546937714.337 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937714.337 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937714.337 * * * * [misc]progress: [ 178 / 5901 ] simplifiying candidate # 1546937714.337 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937714.338 * * [misc]simplify: iters left: 6 (52 enodes) 1546937714.347 * * [misc]simplify: iters left: 5 (137 enodes) 1546937714.375 * * [misc]simplify: iters left: 4 (492 enodes) 1546937714.754 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))))))) 1546937714.754 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937714.755 * * * * [misc]progress: [ 179 / 5901 ] simplifiying candidate # 1546937714.755 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937714.756 * * [misc]simplify: iters left: 6 (53 enodes) 1546937714.774 * * [misc]simplify: iters left: 5 (144 enodes) 1546937714.824 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937714.824 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937714.824 * * * * [misc]progress: [ 180 / 5901 ] simplifiying candidate # 1546937714.825 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937714.825 * * [misc]simplify: iters left: 6 (53 enodes) 1546937714.834 * * [misc]simplify: iters left: 5 (144 enodes) 1546937714.888 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937714.888 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937714.888 * * * * [misc]progress: [ 181 / 5901 ] simplifiying candidate # 1546937714.889 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937714.889 * * [misc]simplify: iters left: 6 (47 enodes) 1546937714.905 * * [misc]simplify: iters left: 5 (124 enodes) 1546937714.935 * * [misc]simplify: iters left: 4 (440 enodes) 1546937715.254 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937715.254 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937715.255 * * * * [misc]progress: [ 182 / 5901 ] simplifiying candidate # 1546937715.255 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937715.255 * * [misc]simplify: iters left: 6 (52 enodes) 1546937715.268 * * [misc]simplify: iters left: 5 (138 enodes) 1546937715.294 * * [misc]simplify: iters left: 4 (464 enodes) 1546937715.636 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 1546937715.636 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937715.636 * * * * [misc]progress: [ 183 / 5901 ] simplifiying candidate # 1546937715.637 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937715.638 * * [misc]simplify: iters left: 6 (47 enodes) 1546937715.654 * * [misc]simplify: iters left: 5 (124 enodes) 1546937715.696 * * [misc]simplify: iters left: 4 (431 enodes) 1546937715.953 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937715.954 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937715.954 * * * * [misc]progress: [ 184 / 5901 ] simplifiying candidate # 1546937715.954 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937715.955 * * [misc]simplify: iters left: 6 (52 enodes) 1546937715.973 * * [misc]simplify: iters left: 5 (138 enodes) 1546937716.008 * * [misc]simplify: iters left: 4 (464 enodes) 1546937716.384 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 1546937716.384 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937716.384 * * * * [misc]progress: [ 185 / 5901 ] simplifiying candidate # 1546937716.385 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937716.385 * * [misc]simplify: iters left: 6 (47 enodes) 1546937716.393 * * [misc]simplify: iters left: 5 (124 enodes) 1546937716.417 * * [misc]simplify: iters left: 4 (431 enodes) 1546937716.699 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937716.699 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937716.700 * * * * [misc]progress: [ 186 / 5901 ] simplifiying candidate # 1546937716.700 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937716.701 * * [misc]simplify: iters left: 6 (52 enodes) 1546937716.719 * * [misc]simplify: iters left: 5 (137 enodes) 1546937716.781 * * [misc]simplify: iters left: 4 (489 enodes) 1546937717.186 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))) 1546937717.186 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937717.186 * * * * [misc]progress: [ 187 / 5901 ] simplifiying candidate # 1546937717.186 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937717.186 * * [misc]simplify: iters left: 6 (53 enodes) 1546937717.196 * * [misc]simplify: iters left: 5 (144 enodes) 1546937717.240 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937717.241 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937717.241 * * * * [misc]progress: [ 188 / 5901 ] simplifiying candidate # 1546937717.241 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937717.241 * * [misc]simplify: iters left: 6 (53 enodes) 1546937717.254 * * [misc]simplify: iters left: 5 (144 enodes) 1546937717.302 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937717.302 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937717.302 * * * * [misc]progress: [ 189 / 5901 ] simplifiying candidate # 1546937717.303 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937717.303 * * [misc]simplify: iters left: 6 (47 enodes) 1546937717.313 * * [misc]simplify: iters left: 5 (124 enodes) 1546937717.339 * * [misc]simplify: iters left: 4 (437 enodes) 1546937717.666 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937717.666 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937717.667 * * * * [misc]progress: [ 190 / 5901 ] simplifiying candidate # 1546937717.667 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937717.668 * * [misc]simplify: iters left: 6 (52 enodes) 1546937717.686 * * [misc]simplify: iters left: 5 (138 enodes) 1546937717.730 * * [misc]simplify: iters left: 4 (461 enodes) 1546937718.019 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 1546937718.019 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937718.020 * * * * [misc]progress: [ 191 / 5901 ] simplifiying candidate # 1546937718.020 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937718.021 * * [misc]simplify: iters left: 6 (47 enodes) 1546937718.036 * * [misc]simplify: iters left: 5 (124 enodes) 1546937718.084 * * [misc]simplify: iters left: 4 (428 enodes) 1546937718.430 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937718.430 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937718.430 * * * * [misc]progress: [ 192 / 5901 ] simplifiying candidate # 1546937718.431 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937718.431 * * [misc]simplify: iters left: 6 (52 enodes) 1546937718.440 * * [misc]simplify: iters left: 5 (138 enodes) 1546937718.483 * * [misc]simplify: iters left: 4 (461 enodes) 1546937718.763 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 1546937718.763 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937718.763 * * * * [misc]progress: [ 193 / 5901 ] simplifiying candidate # 1546937718.763 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937718.764 * * [misc]simplify: iters left: 6 (47 enodes) 1546937718.774 * * [misc]simplify: iters left: 5 (124 enodes) 1546937718.798 * * [misc]simplify: iters left: 4 (428 enodes) 1546937719.093 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937719.094 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937719.094 * * * * [misc]progress: [ 194 / 5901 ] simplifiying candidate # 1546937719.094 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937719.095 * * [misc]simplify: iters left: 6 (52 enodes) 1546937719.113 * * [misc]simplify: iters left: 5 (137 enodes) 1546937719.170 * * [misc]simplify: iters left: 4 (492 enodes) 1546937719.584 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))))))) 1546937719.585 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937719.585 * * * * [misc]progress: [ 195 / 5901 ] simplifiying candidate # 1546937719.585 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937719.585 * * [misc]simplify: iters left: 6 (53 enodes) 1546937719.595 * * [misc]simplify: iters left: 5 (144 enodes) 1546937719.637 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937719.637 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937719.637 * * * * [misc]progress: [ 196 / 5901 ] simplifiying candidate # 1546937719.637 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937719.638 * * [misc]simplify: iters left: 6 (53 enodes) 1546937719.647 * * [misc]simplify: iters left: 5 (144 enodes) 1546937719.700 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937719.700 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937719.700 * * * * [misc]progress: [ 197 / 5901 ] simplifiying candidate # 1546937719.700 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937719.701 * * [misc]simplify: iters left: 6 (47 enodes) 1546937719.709 * * [misc]simplify: iters left: 5 (124 enodes) 1546937719.742 * * [misc]simplify: iters left: 4 (440 enodes) 1546937720.085 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937720.085 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937720.085 * * * * [misc]progress: [ 198 / 5901 ] simplifiying candidate # 1546937720.085 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937720.086 * * [misc]simplify: iters left: 6 (52 enodes) 1546937720.104 * * [misc]simplify: iters left: 5 (138 enodes) 1546937720.160 * * [misc]simplify: iters left: 4 (464 enodes) 1546937720.456 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) 1546937720.456 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937720.456 * * * * [misc]progress: [ 199 / 5901 ] simplifiying candidate # 1546937720.456 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937720.457 * * [misc]simplify: iters left: 6 (47 enodes) 1546937720.465 * * [misc]simplify: iters left: 5 (124 enodes) 1546937720.494 * * [misc]simplify: iters left: 4 (431 enodes) 1546937720.738 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937720.738 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937720.739 * * * * [misc]progress: [ 200 / 5901 ] simplifiying candidate # 1546937720.739 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937720.739 * * [misc]simplify: iters left: 6 (52 enodes) 1546937720.753 * * [misc]simplify: iters left: 5 (138 enodes) 1546937720.810 * * [misc]simplify: iters left: 4 (464 enodes) 1546937721.186 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 1546937721.187 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937721.187 * * * * [misc]progress: [ 201 / 5901 ] simplifiying candidate # 1546937721.187 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937721.188 * * [misc]simplify: iters left: 6 (47 enodes) 1546937721.204 * * [misc]simplify: iters left: 5 (124 enodes) 1546937721.237 * * [misc]simplify: iters left: 4 (431 enodes) 1546937721.516 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937721.517 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937721.517 * * * * [misc]progress: [ 202 / 5901 ] simplifiying candidate # 1546937721.517 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937721.518 * * [misc]simplify: iters left: 6 (47 enodes) 1546937721.534 * * [misc]simplify: iters left: 5 (120 enodes) 1546937721.579 * * [misc]simplify: iters left: 4 (390 enodes) 1546937721.897 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937721.897 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937721.898 * * * * [misc]progress: [ 203 / 5901 ] simplifiying candidate # 1546937721.898 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937721.899 * * [misc]simplify: iters left: 6 (48 enodes) 1546937721.916 * * [misc]simplify: iters left: 5 (127 enodes) 1546937721.965 * * [misc]simplify: iters left: 4 (421 enodes) 1546937722.268 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))))) 1546937722.268 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937722.268 * * * * [misc]progress: [ 204 / 5901 ] simplifiying candidate # 1546937722.268 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937722.269 * * [misc]simplify: iters left: 6 (48 enodes) 1546937722.279 * * [misc]simplify: iters left: 5 (127 enodes) 1546937722.316 * * [misc]simplify: iters left: 4 (419 enodes) 1546937722.648 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))))) 1546937722.648 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937722.649 * * * * [misc]progress: [ 205 / 5901 ] simplifiying candidate # 1546937722.649 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937722.650 * * [misc]simplify: iters left: 6 (42 enodes) 1546937722.669 * * [misc]simplify: iters left: 5 (108 enodes) 1546937722.709 * * [misc]simplify: iters left: 4 (340 enodes) 1546937722.911 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))))) 1546937722.911 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937722.912 * * * * [misc]progress: [ 206 / 5901 ] simplifiying candidate # 1546937722.912 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937722.912 * * [misc]simplify: iters left: 6 (47 enodes) 1546937722.921 * * [misc]simplify: iters left: 5 (122 enodes) 1546937722.944 * * [misc]simplify: iters left: 4 (358 enodes) 1546937723.147 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937723.147 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937723.148 * * * * [misc]progress: [ 207 / 5901 ] simplifiying candidate # 1546937723.148 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937723.148 * * [misc]simplify: iters left: 6 (42 enodes) 1546937723.156 * * [misc]simplify: iters left: 5 (109 enodes) 1546937723.194 * * [misc]simplify: iters left: 4 (327 enodes) 1546937723.432 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937723.432 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937723.432 * * * * [misc]progress: [ 208 / 5901 ] simplifiying candidate # 1546937723.432 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937723.433 * * [misc]simplify: iters left: 6 (47 enodes) 1546937723.443 * * [misc]simplify: iters left: 5 (122 enodes) 1546937723.488 * * [misc]simplify: iters left: 4 (358 enodes) 1546937723.719 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937723.719 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937723.719 * * * * [misc]progress: [ 209 / 5901 ] simplifiying candidate # 1546937723.722 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937723.723 * * [misc]simplify: iters left: 6 (42 enodes) 1546937723.730 * * [misc]simplify: iters left: 5 (109 enodes) 1546937723.759 * * [misc]simplify: iters left: 4 (327 enodes) 1546937723.989 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937723.989 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937723.990 * * * * [misc]progress: [ 210 / 5901 ] simplifiying candidate # 1546937723.990 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937723.991 * * [misc]simplify: iters left: 6 (51 enodes) 1546937724.009 * * [misc]simplify: iters left: 5 (139 enodes) 1546937724.058 * * [misc]simplify: iters left: 4 (486 enodes) 1546937724.461 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937724.461 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937724.461 * * * * [misc]progress: [ 211 / 5901 ] simplifiying candidate # 1546937724.462 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937724.462 * * [misc]simplify: iters left: 6 (52 enodes) 1546937724.475 * * [misc]simplify: iters left: 5 (146 enodes) 1546937724.552 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937724.552 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937724.552 * * * * [misc]progress: [ 212 / 5901 ] simplifiying candidate # 1546937724.553 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937724.553 * * [misc]simplify: iters left: 6 (52 enodes) 1546937724.572 * * [misc]simplify: iters left: 5 (146 enodes) 1546937724.650 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937724.650 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937724.650 * * * * [misc]progress: [ 213 / 5901 ] simplifiying candidate # 1546937724.651 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937724.651 * * [misc]simplify: iters left: 6 (46 enodes) 1546937724.668 * * [misc]simplify: iters left: 5 (126 enodes) 1546937724.717 * * [misc]simplify: iters left: 4 (434 enodes) 1546937725.029 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937725.029 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937725.029 * * * * [misc]progress: [ 214 / 5901 ] simplifiying candidate # 1546937725.029 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937725.030 * * [misc]simplify: iters left: 6 (51 enodes) 1546937725.039 * * [misc]simplify: iters left: 5 (140 enodes) 1546937725.070 * * [misc]simplify: iters left: 4 (458 enodes) 1546937725.394 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) 1546937725.394 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937725.394 * * * * [misc]progress: [ 215 / 5901 ] simplifiying candidate # 1546937725.394 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937725.394 * * [misc]simplify: iters left: 6 (46 enodes) 1546937725.403 * * [misc]simplify: iters left: 5 (126 enodes) 1546937725.430 * * [misc]simplify: iters left: 4 (425 enodes) 1546937725.693 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937725.693 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937725.694 * * * * [misc]progress: [ 216 / 5901 ] simplifiying candidate # 1546937725.694 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937725.694 * * [misc]simplify: iters left: 6 (51 enodes) 1546937725.713 * * [misc]simplify: iters left: 5 (140 enodes) 1546937725.767 * * [misc]simplify: iters left: 4 (458 enodes) 1546937726.046 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) 1546937726.046 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937726.046 * * * * [misc]progress: [ 217 / 5901 ] simplifiying candidate # 1546937726.046 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937726.046 * * [misc]simplify: iters left: 6 (46 enodes) 1546937726.061 * * [misc]simplify: iters left: 5 (126 enodes) 1546937726.099 * * [misc]simplify: iters left: 4 (425 enodes) 1546937726.387 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937726.387 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937726.388 * * * * [misc]progress: [ 218 / 5901 ] simplifiying candidate # 1546937726.388 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937726.389 * * [misc]simplify: iters left: 6 (51 enodes) 1546937726.400 * * [misc]simplify: iters left: 5 (139 enodes) 1546937726.438 * * [misc]simplify: iters left: 4 (484 enodes) 1546937726.855 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937726.855 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937726.855 * * * * [misc]progress: [ 219 / 5901 ] simplifiying candidate # 1546937726.856 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937726.856 * * [misc]simplify: iters left: 6 (52 enodes) 1546937726.869 * * [misc]simplify: iters left: 5 (146 enodes) 1546937726.924 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937726.924 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937726.924 * * * * [misc]progress: [ 220 / 5901 ] simplifiying candidate # 1546937726.924 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937726.925 * * [misc]simplify: iters left: 6 (52 enodes) 1546937726.943 * * [misc]simplify: iters left: 5 (146 enodes) 1546937726.997 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937726.997 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937726.997 * * * * [misc]progress: [ 221 / 5901 ] simplifiying candidate # 1546937726.998 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937726.998 * * [misc]simplify: iters left: 6 (46 enodes) 1546937727.006 * * [misc]simplify: iters left: 5 (126 enodes) 1546937727.032 * * [misc]simplify: iters left: 4 (432 enodes) 1546937727.361 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937727.361 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937727.361 * * * * [misc]progress: [ 222 / 5901 ] simplifiying candidate # 1546937727.362 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937727.362 * * [misc]simplify: iters left: 6 (51 enodes) 1546937727.375 * * [misc]simplify: iters left: 5 (140 enodes) 1546937727.408 * * [misc]simplify: iters left: 4 (456 enodes) 1546937727.673 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937727.673 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937727.673 * * * * [misc]progress: [ 223 / 5901 ] simplifiying candidate # 1546937727.674 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937727.674 * * [misc]simplify: iters left: 6 (46 enodes) 1546937727.682 * * [misc]simplify: iters left: 5 (126 enodes) 1546937727.730 * * [misc]simplify: iters left: 4 (423 enodes) 1546937728.008 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937728.008 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937728.009 * * * * [misc]progress: [ 224 / 5901 ] simplifiying candidate # 1546937728.009 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937728.010 * * [misc]simplify: iters left: 6 (51 enodes) 1546937728.020 * * [misc]simplify: iters left: 5 (140 enodes) 1546937728.048 * * [misc]simplify: iters left: 4 (456 enodes) 1546937728.324 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937728.324 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937728.324 * * * * [misc]progress: [ 225 / 5901 ] simplifiying candidate # 1546937728.325 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937728.325 * * [misc]simplify: iters left: 6 (46 enodes) 1546937728.341 * * [misc]simplify: iters left: 5 (126 enodes) 1546937728.370 * * [misc]simplify: iters left: 4 (423 enodes) 1546937728.667 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937728.667 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937728.667 * * * * [misc]progress: [ 226 / 5901 ] simplifiying candidate # 1546937728.667 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937728.668 * * [misc]simplify: iters left: 6 (47 enodes) 1546937728.677 * * [misc]simplify: iters left: 5 (124 enodes) 1546937728.702 * * [misc]simplify: iters left: 4 (404 enodes) 1546937728.999 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937728.999 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937728.999 * * * * [misc]progress: [ 227 / 5901 ] simplifiying candidate # 1546937728.999 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937729.000 * * [misc]simplify: iters left: 6 (48 enodes) 1546937729.015 * * [misc]simplify: iters left: 5 (131 enodes) 1546937729.056 * * [misc]simplify: iters left: 4 (435 enodes) 1546937729.394 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937729.394 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937729.395 * * * * [misc]progress: [ 228 / 5901 ] simplifiying candidate # 1546937729.395 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937729.396 * * [misc]simplify: iters left: 6 (48 enodes) 1546937729.413 * * [misc]simplify: iters left: 5 (131 enodes) 1546937729.446 * * [misc]simplify: iters left: 4 (433 enodes) 1546937729.854 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937729.854 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937729.855 * * * * [misc]progress: [ 229 / 5901 ] simplifiying candidate # 1546937729.855 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937729.856 * * [misc]simplify: iters left: 6 (42 enodes) 1546937729.870 * * [misc]simplify: iters left: 5 (111 enodes) 1546937729.916 * * [misc]simplify: iters left: 4 (352 enodes) 1546937730.179 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 1546937730.179 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937730.180 * * * * [misc]progress: [ 230 / 5901 ] simplifiying candidate # 1546937730.180 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937730.181 * * [misc]simplify: iters left: 6 (47 enodes) 1546937730.197 * * [misc]simplify: iters left: 5 (125 enodes) 1546937730.228 * * [misc]simplify: iters left: 4 (376 enodes) 1546937730.444 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937730.444 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937730.444 * * * * [misc]progress: [ 231 / 5901 ] simplifiying candidate # 1546937730.444 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937730.444 * * [misc]simplify: iters left: 6 (42 enodes) 1546937730.456 * * [misc]simplify: iters left: 5 (111 enodes) 1546937730.498 * * [misc]simplify: iters left: 4 (343 enodes) 1546937730.698 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937730.698 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937730.698 * * * * [misc]progress: [ 232 / 5901 ] simplifiying candidate # 1546937730.698 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937730.699 * * [misc]simplify: iters left: 6 (47 enodes) 1546937730.710 * * [misc]simplify: iters left: 5 (125 enodes) 1546937730.739 * * [misc]simplify: iters left: 4 (376 enodes) 1546937731.043 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937731.043 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937731.043 * * * * [misc]progress: [ 233 / 5901 ] simplifiying candidate # 1546937731.044 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937731.044 * * [misc]simplify: iters left: 6 (42 enodes) 1546937731.059 * * [misc]simplify: iters left: 5 (111 enodes) 1546937731.084 * * [misc]simplify: iters left: 4 (343 enodes) 1546937731.269 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937731.269 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937731.269 * * * * [misc]progress: [ 234 / 5901 ] simplifiying candidate # 1546937731.269 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937731.270 * * [misc]simplify: iters left: 6 (52 enodes) 1546937731.282 * * [misc]simplify: iters left: 5 (135 enodes) 1546937731.334 * * [misc]simplify: iters left: 4 (452 enodes) 1546937731.735 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 1546937731.735 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937731.736 * * * * [misc]progress: [ 235 / 5901 ] simplifiying candidate # 1546937731.736 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937731.737 * * [misc]simplify: iters left: 6 (53 enodes) 1546937731.756 * * [misc]simplify: iters left: 5 (142 enodes) 1546937731.811 * * [misc]simplify: iters left: 4 (483 enodes) 1546937732.186 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937732.186 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937732.187 * * * * [misc]progress: [ 236 / 5901 ] simplifiying candidate # 1546937732.187 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937732.187 * * [misc]simplify: iters left: 6 (53 enodes) 1546937732.200 * * [misc]simplify: iters left: 5 (142 enodes) 1546937732.230 * * [misc]simplify: iters left: 4 (481 enodes) 1546937732.640 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937732.640 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937732.640 * * * * [misc]progress: [ 237 / 5901 ] simplifiying candidate # 1546937732.641 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937732.641 * * [misc]simplify: iters left: 6 (47 enodes) 1546937732.649 * * [misc]simplify: iters left: 5 (122 enodes) 1546937732.678 * * [misc]simplify: iters left: 4 (400 enodes) 1546937732.931 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) 1546937732.931 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937732.931 * * * * [misc]progress: [ 238 / 5901 ] simplifiying candidate # 1546937732.931 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937732.932 * * [misc]simplify: iters left: 6 (52 enodes) 1546937732.941 * * [misc]simplify: iters left: 5 (136 enodes) 1546937732.970 * * [misc]simplify: iters left: 4 (424 enodes) 1546937733.200 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937733.200 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937733.200 * * * * [misc]progress: [ 239 / 5901 ] simplifiying candidate # 1546937733.201 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937733.201 * * [misc]simplify: iters left: 6 (47 enodes) 1546937733.219 * * [misc]simplify: iters left: 5 (122 enodes) 1546937733.252 * * [misc]simplify: iters left: 4 (391 enodes) 1546937733.501 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546937733.501 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937733.501 * * * * [misc]progress: [ 240 / 5901 ] simplifiying candidate # 1546937733.501 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937733.501 * * [misc]simplify: iters left: 6 (52 enodes) 1546937733.510 * * [misc]simplify: iters left: 5 (136 enodes) 1546937733.539 * * [misc]simplify: iters left: 4 (424 enodes) 1546937733.859 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937733.860 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937733.860 * * * * [misc]progress: [ 241 / 5901 ] simplifiying candidate # 1546937733.860 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937733.861 * * [misc]simplify: iters left: 6 (47 enodes) 1546937733.877 * * [misc]simplify: iters left: 5 (122 enodes) 1546937733.922 * * [misc]simplify: iters left: 4 (391 enodes) 1546937734.257 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546937734.257 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937734.258 * * * * [misc]progress: [ 242 / 5901 ] simplifiying candidate # 1546937734.258 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937734.259 * * [misc]simplify: iters left: 6 (52 enodes) 1546937734.276 * * [misc]simplify: iters left: 5 (135 enodes) 1546937734.328 * * [misc]simplify: iters left: 4 (454 enodes) 1546937734.644 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 1546937734.644 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937734.644 * * * * [misc]progress: [ 243 / 5901 ] simplifiying candidate # 1546937734.644 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937734.644 * * [misc]simplify: iters left: 6 (53 enodes) 1546937734.661 * * [misc]simplify: iters left: 5 (142 enodes) 1546937734.722 * * [misc]simplify: iters left: 4 (485 enodes) 1546937735.642 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))))) 1546937735.642 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937735.642 * * * * [misc]progress: [ 244 / 5901 ] simplifiying candidate # 1546937735.642 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937735.642 * * [misc]simplify: iters left: 6 (53 enodes) 1546937735.660 * * [misc]simplify: iters left: 5 (142 enodes) 1546937735.709 * * [misc]simplify: iters left: 4 (483 enodes) 1546937736.103 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937736.103 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937736.103 * * * * [misc]progress: [ 245 / 5901 ] simplifiying candidate # 1546937736.104 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937736.104 * * [misc]simplify: iters left: 6 (47 enodes) 1546937736.121 * * [misc]simplify: iters left: 5 (122 enodes) 1546937736.171 * * [misc]simplify: iters left: 4 (402 enodes) 1546937736.447 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) 1546937736.447 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937736.448 * * * * [misc]progress: [ 246 / 5901 ] simplifiying candidate # 1546937736.448 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937736.449 * * [misc]simplify: iters left: 6 (52 enodes) 1546937736.474 * * [misc]simplify: iters left: 5 (136 enodes) 1546937736.527 * * [misc]simplify: iters left: 4 (426 enodes) 1546937736.842 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937736.842 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937736.843 * * * * [misc]progress: [ 247 / 5901 ] simplifiying candidate # 1546937736.843 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937736.844 * * [misc]simplify: iters left: 6 (47 enodes) 1546937736.852 * * [misc]simplify: iters left: 5 (122 enodes) 1546937736.883 * * [misc]simplify: iters left: 4 (393 enodes) 1546937737.142 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937737.142 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937737.143 * * * * [misc]progress: [ 248 / 5901 ] simplifiying candidate # 1546937737.143 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937737.143 * * [misc]simplify: iters left: 6 (52 enodes) 1546937737.152 * * [misc]simplify: iters left: 5 (136 enodes) 1546937737.178 * * [misc]simplify: iters left: 4 (426 enodes) 1546937737.455 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937737.455 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937737.455 * * * * [misc]progress: [ 249 / 5901 ] simplifiying candidate # 1546937737.455 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937737.456 * * [misc]simplify: iters left: 6 (47 enodes) 1546937737.464 * * [misc]simplify: iters left: 5 (122 enodes) 1546937737.491 * * [misc]simplify: iters left: 4 (393 enodes) 1546937737.744 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937737.744 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937737.744 * * * * [misc]progress: [ 250 / 5901 ] simplifiying candidate # 1546937737.745 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937737.745 * * [misc]simplify: iters left: 6 (52 enodes) 1546937737.764 * * [misc]simplify: iters left: 5 (136 enodes) 1546937737.820 * * [misc]simplify: iters left: 4 (453 enodes) 1546937738.172 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 1546937738.172 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937738.172 * * * * [misc]progress: [ 251 / 5901 ] simplifiying candidate # 1546937738.173 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937738.173 * * [misc]simplify: iters left: 6 (53 enodes) 1546937738.186 * * [misc]simplify: iters left: 5 (143 enodes) 1546937738.221 * * [misc]simplify: iters left: 4 (484 enodes) 1546937738.734 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937738.734 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937738.735 * * * * [misc]progress: [ 252 / 5901 ] simplifiying candidate # 1546937738.735 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937738.736 * * [misc]simplify: iters left: 6 (53 enodes) 1546937738.755 * * [misc]simplify: iters left: 5 (143 enodes) 1546937738.814 * * [misc]simplify: iters left: 4 (482 enodes) 1546937739.175 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937739.175 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937739.175 * * * * [misc]progress: [ 253 / 5901 ] simplifiying candidate # 1546937739.175 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937739.176 * * [misc]simplify: iters left: 6 (47 enodes) 1546937739.184 * * [misc]simplify: iters left: 5 (123 enodes) 1546937739.214 * * [misc]simplify: iters left: 4 (401 enodes) 1546937739.460 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937739.461 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937739.461 * * * * [misc]progress: [ 254 / 5901 ] simplifiying candidate # 1546937739.461 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937739.462 * * [misc]simplify: iters left: 6 (52 enodes) 1546937739.480 * * [misc]simplify: iters left: 5 (137 enodes) 1546937739.510 * * [misc]simplify: iters left: 4 (425 enodes) 1546937739.809 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937739.809 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937739.809 * * * * [misc]progress: [ 255 / 5901 ] simplifiying candidate # 1546937739.810 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937739.810 * * [misc]simplify: iters left: 6 (47 enodes) 1546937739.827 * * [misc]simplify: iters left: 5 (123 enodes) 1546937739.877 * * [misc]simplify: iters left: 4 (392 enodes) 1546937740.167 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937740.167 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937740.167 * * * * [misc]progress: [ 256 / 5901 ] simplifiying candidate # 1546937740.167 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937740.168 * * [misc]simplify: iters left: 6 (52 enodes) 1546937740.186 * * [misc]simplify: iters left: 5 (137 enodes) 1546937740.220 * * [misc]simplify: iters left: 4 (425 enodes) 1546937740.445 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 1546937740.445 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937740.445 * * * * [misc]progress: [ 257 / 5901 ] simplifiying candidate # 1546937740.446 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937740.446 * * [misc]simplify: iters left: 6 (47 enodes) 1546937740.455 * * [misc]simplify: iters left: 5 (123 enodes) 1546937740.498 * * [misc]simplify: iters left: 4 (392 enodes) 1546937740.783 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937740.783 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937740.784 * * * * [misc]progress: [ 258 / 5901 ] simplifiying candidate # 1546937740.784 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937740.785 * * [misc]simplify: iters left: 6 (52 enodes) 1546937740.807 * * [misc]simplify: iters left: 5 (136 enodes) 1546937740.835 * * [misc]simplify: iters left: 4 (455 enodes) 1546937741.175 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 1546937741.176 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937741.176 * * * * [misc]progress: [ 259 / 5901 ] simplifiying candidate # 1546937741.176 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937741.176 * * [misc]simplify: iters left: 6 (53 enodes) 1546937741.186 * * [misc]simplify: iters left: 5 (143 enodes) 1546937741.228 * * [misc]simplify: iters left: 4 (486 enodes) 1546937741.633 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) 1546937741.633 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937741.633 * * * * [misc]progress: [ 260 / 5901 ] simplifiying candidate # 1546937741.634 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937741.635 * * [misc]simplify: iters left: 6 (53 enodes) 1546937741.644 * * [misc]simplify: iters left: 5 (143 enodes) 1546937741.687 * * [misc]simplify: iters left: 4 (484 enodes) 1546937742.023 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) 1546937742.023 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937742.023 * * * * [misc]progress: [ 261 / 5901 ] simplifiying candidate # 1546937742.023 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937742.023 * * [misc]simplify: iters left: 6 (47 enodes) 1546937742.031 * * [misc]simplify: iters left: 5 (123 enodes) 1546937742.065 * * [misc]simplify: iters left: 4 (403 enodes) 1546937742.323 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937742.323 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937742.323 * * * * [misc]progress: [ 262 / 5901 ] simplifiying candidate # 1546937742.324 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937742.324 * * [misc]simplify: iters left: 6 (52 enodes) 1546937742.340 * * [misc]simplify: iters left: 5 (137 enodes) 1546937742.381 * * [misc]simplify: iters left: 4 (427 enodes) 1546937742.668 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 1546937742.668 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937742.668 * * * * [misc]progress: [ 263 / 5901 ] simplifiying candidate # 1546937742.669 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937742.669 * * [misc]simplify: iters left: 6 (47 enodes) 1546937742.677 * * [misc]simplify: iters left: 5 (123 enodes) 1546937742.725 * * [misc]simplify: iters left: 4 (394 enodes) 1546937743.024 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937743.024 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937743.024 * * * * [misc]progress: [ 264 / 5901 ] simplifiying candidate # 1546937743.024 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937743.025 * * [misc]simplify: iters left: 6 (52 enodes) 1546937743.034 * * [misc]simplify: iters left: 5 (137 enodes) 1546937743.064 * * [misc]simplify: iters left: 4 (427 enodes) 1546937743.336 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937743.336 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937743.336 * * * * [misc]progress: [ 265 / 5901 ] simplifiying candidate # 1546937743.336 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937743.336 * * [misc]simplify: iters left: 6 (47 enodes) 1546937743.346 * * [misc]simplify: iters left: 5 (123 enodes) 1546937743.393 * * [misc]simplify: iters left: 4 (394 enodes) 1546937743.651 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937743.651 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937743.651 * * * * [misc]progress: [ 266 / 5901 ] simplifiying candidate # 1546937743.652 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937743.652 * * [misc]simplify: iters left: 6 (45 enodes) 1546937743.660 * * [misc]simplify: iters left: 5 (110 enodes) 1546937743.681 * * [misc]simplify: iters left: 4 (375 enodes) 1546937743.926 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))) 1546937743.926 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937743.926 * * * * [misc]progress: [ 267 / 5901 ] simplifiying candidate # 1546937743.926 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937743.927 * * [misc]simplify: iters left: 6 (46 enodes) 1546937743.943 * * [misc]simplify: iters left: 5 (117 enodes) 1546937743.994 * * [misc]simplify: iters left: 4 (406 enodes) 1546937744.269 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937744.269 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937744.269 * * * * [misc]progress: [ 268 / 5901 ] simplifiying candidate # 1546937744.269 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937744.269 * * [misc]simplify: iters left: 6 (46 enodes) 1546937744.284 * * [misc]simplify: iters left: 5 (117 enodes) 1546937744.329 * * [misc]simplify: iters left: 4 (404 enodes) 1546937744.635 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 1546937744.635 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937744.635 * * * * [misc]progress: [ 269 / 5901 ] simplifiying candidate # 1546937744.636 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937744.636 * * [misc]simplify: iters left: 6 (40 enodes) 1546937744.643 * * [misc]simplify: iters left: 5 (97 enodes) 1546937744.661 * * [misc]simplify: iters left: 4 (323 enodes) 1546937744.933 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))))) 1546937744.933 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937744.934 * * * * [misc]progress: [ 270 / 5901 ] simplifiying candidate # 1546937744.934 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937744.934 * * [misc]simplify: iters left: 6 (45 enodes) 1546937744.950 * * [misc]simplify: iters left: 5 (112 enodes) 1546937744.992 * * [misc]simplify: iters left: 4 (343 enodes) 1546937745.235 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)))))) 1546937745.235 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937745.236 * * * * [misc]progress: [ 271 / 5901 ] simplifiying candidate # 1546937745.236 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937745.237 * * [misc]simplify: iters left: 6 (40 enodes) 1546937745.250 * * [misc]simplify: iters left: 5 (98 enodes) 1546937745.285 * * [misc]simplify: iters left: 4 (310 enodes) 1546937745.462 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937745.462 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937745.462 * * * * [misc]progress: [ 272 / 5901 ] simplifiying candidate # 1546937745.463 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937745.463 * * [misc]simplify: iters left: 6 (45 enodes) 1546937745.477 * * [misc]simplify: iters left: 5 (112 enodes) 1546937745.497 * * [misc]simplify: iters left: 4 (343 enodes) 1546937745.711 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 1546937745.711 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937745.711 * * * * [misc]progress: [ 273 / 5901 ] simplifiying candidate # 1546937745.712 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937745.712 * * [misc]simplify: iters left: 6 (40 enodes) 1546937745.730 * * [misc]simplify: iters left: 5 (98 enodes) 1546937745.766 * * [misc]simplify: iters left: 4 (310 enodes) 1546937745.958 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937745.959 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937745.959 * * * * [misc]progress: [ 274 / 5901 ] simplifiying candidate # 1546937745.959 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937745.959 * * [misc]simplify: iters left: 6 (52 enodes) 1546937745.973 * * [misc]simplify: iters left: 5 (137 enodes) 1546937746.026 * * [misc]simplify: iters left: 4 (494 enodes) 1546937746.475 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937746.475 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937746.475 * * * * [misc]progress: [ 275 / 5901 ] simplifiying candidate # 1546937746.475 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937746.476 * * [misc]simplify: iters left: 6 (53 enodes) 1546937746.487 * * [misc]simplify: iters left: 5 (144 enodes) 1546937746.541 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937746.541 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937746.541 * * * * [misc]progress: [ 276 / 5901 ] simplifiying candidate # 1546937746.541 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937746.542 * * [misc]simplify: iters left: 6 (53 enodes) 1546937746.551 * * [misc]simplify: iters left: 5 (144 enodes) 1546937746.592 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546937746.592 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937746.592 * * * * [misc]progress: [ 277 / 5901 ] simplifiying candidate # 1546937746.592 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937746.592 * * [misc]simplify: iters left: 6 (47 enodes) 1546937746.606 * * [misc]simplify: iters left: 5 (124 enodes) 1546937746.647 * * [misc]simplify: iters left: 4 (442 enodes) 1546937746.945 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937746.945 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937746.945 * * * * [misc]progress: [ 278 / 5901 ] simplifiying candidate # 1546937746.946 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937746.946 * * [misc]simplify: iters left: 6 (52 enodes) 1546937746.955 * * [misc]simplify: iters left: 5 (138 enodes) 1546937746.982 * * [misc]simplify: iters left: 4 (466 enodes) 1546937747.334 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) 1546937747.334 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937747.334 * * * * [misc]progress: [ 279 / 5901 ] simplifiying candidate # 1546937747.335 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937747.336 * * [misc]simplify: iters left: 6 (47 enodes) 1546937747.352 * * [misc]simplify: iters left: 5 (124 enodes) 1546937747.400 * * [misc]simplify: iters left: 4 (433 enodes) 1546937747.757 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937747.757 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937747.757 * * * * [misc]progress: [ 280 / 5901 ] simplifiying candidate # 1546937747.758 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937747.758 * * [misc]simplify: iters left: 6 (52 enodes) 1546937747.768 * * [misc]simplify: iters left: 5 (138 enodes) 1546937747.822 * * [misc]simplify: iters left: 4 (466 enodes) 1546937748.160 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) 1546937748.160 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937748.161 * * * * [misc]progress: [ 281 / 5901 ] simplifiying candidate # 1546937748.161 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937748.162 * * [misc]simplify: iters left: 6 (47 enodes) 1546937748.173 * * [misc]simplify: iters left: 5 (124 enodes) 1546937748.205 * * [misc]simplify: iters left: 4 (433 enodes) 1546937748.519 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937748.520 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937748.520 * * * * [misc]progress: [ 282 / 5901 ] simplifiying candidate # 1546937748.520 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937748.521 * * [misc]simplify: iters left: 6 (52 enodes) 1546937748.540 * * [misc]simplify: iters left: 5 (136 enodes) 1546937748.589 * * [misc]simplify: iters left: 4 (488 enodes) 1546937749.005 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) 1546937749.005 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937749.006 * * * * [misc]progress: [ 283 / 5901 ] simplifiying candidate # 1546937749.006 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937749.006 * * [misc]simplify: iters left: 6 (53 enodes) 1546937749.020 * * [misc]simplify: iters left: 5 (143 enodes) 1546937749.099 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546937749.099 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937749.099 * * * * [misc]progress: [ 284 / 5901 ] simplifiying candidate # 1546937749.099 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937749.100 * * [misc]simplify: iters left: 6 (53 enodes) 1546937749.118 * * [misc]simplify: iters left: 5 (143 enodes) 1546937749.191 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937749.191 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937749.191 * * * * [misc]progress: [ 285 / 5901 ] simplifiying candidate # 1546937749.191 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937749.192 * * [misc]simplify: iters left: 6 (47 enodes) 1546937749.200 * * [misc]simplify: iters left: 5 (123 enodes) 1546937749.238 * * [misc]simplify: iters left: 4 (436 enodes) 1546937749.549 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937749.549 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937749.549 * * * * [misc]progress: [ 286 / 5901 ] simplifiying candidate # 1546937749.550 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937749.550 * * [misc]simplify: iters left: 6 (52 enodes) 1546937749.568 * * [misc]simplify: iters left: 5 (137 enodes) 1546937749.610 * * [misc]simplify: iters left: 4 (460 enodes) 1546937749.922 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937749.922 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937749.923 * * * * [misc]progress: [ 287 / 5901 ] simplifiying candidate # 1546937749.923 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937749.923 * * [misc]simplify: iters left: 6 (47 enodes) 1546937749.932 * * [misc]simplify: iters left: 5 (123 enodes) 1546937749.964 * * [misc]simplify: iters left: 4 (427 enodes) 1546937750.218 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546937750.218 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937750.218 * * * * [misc]progress: [ 288 / 5901 ] simplifiying candidate # 1546937750.219 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937750.219 * * [misc]simplify: iters left: 6 (52 enodes) 1546937750.231 * * [misc]simplify: iters left: 5 (137 enodes) 1546937750.271 * * [misc]simplify: iters left: 4 (460 enodes) 1546937750.621 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) 1546937750.621 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937750.621 * * * * [misc]progress: [ 289 / 5901 ] simplifiying candidate # 1546937750.621 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937750.622 * * [misc]simplify: iters left: 6 (47 enodes) 1546937750.630 * * [misc]simplify: iters left: 5 (123 enodes) 1546937750.655 * * [misc]simplify: iters left: 4 (427 enodes) 1546937750.949 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937750.949 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937750.949 * * * * [misc]progress: [ 290 / 5901 ] simplifiying candidate # 1546937750.950 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937750.950 * * [misc]simplify: iters left: 6 (52 enodes) 1546937750.974 * * [misc]simplify: iters left: 5 (135 enodes) 1546937751.024 * * [misc]simplify: iters left: 4 (452 enodes) 1546937751.390 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) 1546937751.391 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937751.391 * * * * [misc]progress: [ 291 / 5901 ] simplifiying candidate # 1546937751.391 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937751.391 * * [misc]simplify: iters left: 6 (53 enodes) 1546937751.401 * * [misc]simplify: iters left: 5 (142 enodes) 1546937751.449 * * [misc]simplify: iters left: 4 (483 enodes) 1546937751.900 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937751.900 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937751.901 * * * * [misc]progress: [ 292 / 5901 ] simplifiying candidate # 1546937751.901 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937751.902 * * [misc]simplify: iters left: 6 (53 enodes) 1546937751.914 * * [misc]simplify: iters left: 5 (142 enodes) 1546937751.948 * * [misc]simplify: iters left: 4 (481 enodes) 1546937752.441 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546937752.441 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937752.441 * * * * [misc]progress: [ 293 / 5901 ] simplifiying candidate # 1546937752.441 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937752.442 * * [misc]simplify: iters left: 6 (47 enodes) 1546937752.450 * * [misc]simplify: iters left: 5 (122 enodes) 1546937752.491 * * [misc]simplify: iters left: 4 (400 enodes) 1546937752.787 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937752.787 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937752.787 * * * * [misc]progress: [ 294 / 5901 ] simplifiying candidate # 1546937752.788 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937752.788 * * [misc]simplify: iters left: 6 (52 enodes) 1546937752.807 * * [misc]simplify: iters left: 5 (136 enodes) 1546937752.846 * * [misc]simplify: iters left: 4 (424 enodes) 1546937753.111 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937753.111 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937753.111 * * * * [misc]progress: [ 295 / 5901 ] simplifiying candidate # 1546937753.112 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937753.112 * * [misc]simplify: iters left: 6 (47 enodes) 1546937753.120 * * [misc]simplify: iters left: 5 (122 enodes) 1546937753.147 * * [misc]simplify: iters left: 4 (391 enodes) 1546937753.368 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937753.368 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937753.369 * * * * [misc]progress: [ 296 / 5901 ] simplifiying candidate # 1546937753.369 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937753.369 * * [misc]simplify: iters left: 6 (52 enodes) 1546937753.379 * * [misc]simplify: iters left: 5 (136 enodes) 1546937753.414 * * [misc]simplify: iters left: 4 (424 enodes) 1546937753.700 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937753.700 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937753.700 * * * * [misc]progress: [ 297 / 5901 ] simplifiying candidate # 1546937753.700 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937753.700 * * [misc]simplify: iters left: 6 (47 enodes) 1546937753.709 * * [misc]simplify: iters left: 5 (122 enodes) 1546937753.752 * * [misc]simplify: iters left: 4 (391 enodes) 1546937754.020 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937754.020 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937754.020 * * * * [misc]progress: [ 298 / 5901 ] simplifiying candidate # 1546937754.020 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937754.021 * * [misc]simplify: iters left: 6 (45 enodes) 1546937754.028 * * [misc]simplify: iters left: 5 (114 enodes) 1546937754.067 * * [misc]simplify: iters left: 4 (389 enodes) 1546937754.385 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) 1546937754.385 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937754.385 * * * * [misc]progress: [ 299 / 5901 ] simplifiying candidate # 1546937754.386 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937754.387 * * [misc]simplify: iters left: 6 (46 enodes) 1546937754.403 * * [misc]simplify: iters left: 5 (121 enodes) 1546937754.453 * * [misc]simplify: iters left: 4 (420 enodes) 1546937754.824 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937754.824 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937754.825 * * * * [misc]progress: [ 300 / 5901 ] simplifiying candidate # 1546937754.825 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937754.826 * * [misc]simplify: iters left: 6 (46 enodes) 1546937754.842 * * [misc]simplify: iters left: 5 (121 enodes) 1546937754.892 * * [misc]simplify: iters left: 4 (418 enodes) 1546937755.225 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 1546937755.225 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937755.226 * * * * [misc]progress: [ 301 / 5901 ] simplifiying candidate # 1546937755.226 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937755.226 * * [misc]simplify: iters left: 6 (40 enodes) 1546937755.233 * * [misc]simplify: iters left: 5 (101 enodes) 1546937755.263 * * [misc]simplify: iters left: 4 (337 enodes) 1546937755.473 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ phi2 phi1) (- phi1 phi2))))))) 1546937755.473 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937755.473 * * * * [misc]progress: [ 302 / 5901 ] simplifiying candidate # 1546937755.474 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937755.474 * * [misc]simplify: iters left: 6 (45 enodes) 1546937755.482 * * [misc]simplify: iters left: 5 (115 enodes) 1546937755.503 * * [misc]simplify: iters left: 4 (361 enodes) 1546937755.748 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 1546937755.748 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937755.748 * * * * [misc]progress: [ 303 / 5901 ] simplifiying candidate # 1546937755.748 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937755.749 * * [misc]simplify: iters left: 6 (40 enodes) 1546937755.763 * * [misc]simplify: iters left: 5 (101 enodes) 1546937755.800 * * [misc]simplify: iters left: 4 (328 enodes) 1546937755.964 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937755.964 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937755.964 * * * * [misc]progress: [ 304 / 5901 ] simplifiying candidate # 1546937755.964 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937755.965 * * [misc]simplify: iters left: 6 (45 enodes) 1546937755.972 * * [misc]simplify: iters left: 5 (115 enodes) 1546937755.998 * * [misc]simplify: iters left: 4 (361 enodes) 1546937756.239 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) 1546937756.239 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937756.240 * * * * [misc]progress: [ 305 / 5901 ] simplifiying candidate # 1546937756.240 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937756.241 * * [misc]simplify: iters left: 6 (40 enodes) 1546937756.253 * * [misc]simplify: iters left: 5 (101 enodes) 1546937756.272 * * [misc]simplify: iters left: 4 (328 enodes) 1546937756.511 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937756.511 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937756.512 * * * * [misc]progress: [ 306 / 5901 ] simplifiying candidate # 1546937756.512 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937756.513 * * [misc]simplify: iters left: 6 (51 enodes) 1546937756.529 * * [misc]simplify: iters left: 5 (129 enodes) 1546937756.576 * * [misc]simplify: iters left: 4 (446 enodes) 1546937756.972 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) 1546937756.973 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937756.973 * * * * [misc]progress: [ 307 / 5901 ] simplifiying candidate # 1546937756.973 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937756.974 * * [misc]simplify: iters left: 6 (52 enodes) 1546937756.991 * * [misc]simplify: iters left: 5 (136 enodes) 1546937757.043 * * [misc]simplify: iters left: 4 (477 enodes) 1546937757.449 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937757.449 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937757.450 * * * * [misc]progress: [ 308 / 5901 ] simplifiying candidate # 1546937757.451 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937757.451 * * [misc]simplify: iters left: 6 (52 enodes) 1546937757.465 * * [misc]simplify: iters left: 5 (136 enodes) 1546937757.517 * * [misc]simplify: iters left: 4 (475 enodes) 1546937757.920 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937757.920 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937757.920 * * * * [misc]progress: [ 309 / 5901 ] simplifiying candidate # 1546937757.920 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937757.921 * * [misc]simplify: iters left: 6 (46 enodes) 1546937757.937 * * [misc]simplify: iters left: 5 (116 enodes) 1546937757.981 * * [misc]simplify: iters left: 4 (394 enodes) 1546937758.289 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937758.289 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937758.289 * * * * [misc]progress: [ 310 / 5901 ] simplifiying candidate # 1546937758.290 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937758.291 * * [misc]simplify: iters left: 6 (51 enodes) 1546937758.309 * * [misc]simplify: iters left: 5 (130 enodes) 1546937758.362 * * [misc]simplify: iters left: 4 (418 enodes) 1546937758.680 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)))))) 1546937758.681 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937758.681 * * * * [misc]progress: [ 311 / 5901 ] simplifiying candidate # 1546937758.681 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937758.682 * * [misc]simplify: iters left: 6 (46 enodes) 1546937758.698 * * [misc]simplify: iters left: 5 (116 enodes) 1546937758.743 * * [misc]simplify: iters left: 4 (385 enodes) 1546937758.990 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937758.990 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937758.990 * * * * [misc]progress: [ 312 / 5901 ] simplifiying candidate # 1546937758.990 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937758.991 * * [misc]simplify: iters left: 6 (51 enodes) 1546937759.010 * * [misc]simplify: iters left: 5 (130 enodes) 1546937759.055 * * [misc]simplify: iters left: 4 (418 enodes) 1546937759.317 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 1546937759.317 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937759.317 * * * * [misc]progress: [ 313 / 5901 ] simplifiying candidate # 1546937759.317 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937759.318 * * [misc]simplify: iters left: 6 (46 enodes) 1546937759.333 * * [misc]simplify: iters left: 5 (116 enodes) 1546937759.382 * * [misc]simplify: iters left: 4 (385 enodes) 1546937759.662 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937759.662 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937759.662 * * * * [misc]progress: [ 314 / 5901 ] simplifiying candidate # 1546937759.663 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937759.664 * * [misc]simplify: iters left: 6 (47 enodes) 1546937759.684 * * [misc]simplify: iters left: 5 (119 enodes) 1546937759.726 * * [misc]simplify: iters left: 4 (405 enodes) 1546937760.648 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937760.648 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937760.648 * * * * [misc]progress: [ 315 / 5901 ] simplifiying candidate # 1546937760.649 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937760.649 * * [misc]simplify: iters left: 6 (48 enodes) 1546937760.670 * * [misc]simplify: iters left: 5 (126 enodes) 1546937760.714 * * [misc]simplify: iters left: 4 (436 enodes) 1546937761.101 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) 1546937761.101 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937761.101 * * * * [misc]progress: [ 316 / 5901 ] simplifiying candidate # 1546937761.102 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937761.102 * * [misc]simplify: iters left: 6 (48 enodes) 1546937761.117 * * [misc]simplify: iters left: 5 (126 enodes) 1546937761.141 * * [misc]simplify: iters left: 4 (434 enodes) 1546937761.463 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) 1546937761.463 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937761.463 * * * * [misc]progress: [ 317 / 5901 ] simplifiying candidate # 1546937761.463 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937761.464 * * [misc]simplify: iters left: 6 (42 enodes) 1546937761.478 * * [misc]simplify: iters left: 5 (106 enodes) 1546937761.520 * * [misc]simplify: iters left: 4 (360 enodes) 1546937761.786 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (+ phi2 phi1)))))) 1546937761.786 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937761.787 * * * * [misc]progress: [ 318 / 5901 ] simplifiying candidate # 1546937761.787 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937761.788 * * [misc]simplify: iters left: 6 (47 enodes) 1546937761.805 * * [misc]simplify: iters left: 5 (120 enodes) 1546937761.849 * * [misc]simplify: iters left: 4 (377 enodes) 1546937762.116 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546937762.116 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937762.116 * * * * [misc]progress: [ 319 / 5901 ] simplifiying candidate # 1546937762.116 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937762.117 * * [misc]simplify: iters left: 6 (42 enodes) 1546937762.131 * * [misc]simplify: iters left: 5 (106 enodes) 1546937762.154 * * [misc]simplify: iters left: 4 (358 enodes) 1546937762.336 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937762.336 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937762.336 * * * * [misc]progress: [ 320 / 5901 ] simplifiying candidate # 1546937762.337 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937762.337 * * [misc]simplify: iters left: 6 (47 enodes) 1546937762.345 * * [misc]simplify: iters left: 5 (120 enodes) 1546937762.369 * * [misc]simplify: iters left: 4 (377 enodes) 1546937762.623 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546937762.623 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937762.623 * * * * [misc]progress: [ 321 / 5901 ] simplifiying candidate # 1546937762.623 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937762.624 * * [misc]simplify: iters left: 6 (42 enodes) 1546937762.639 * * [misc]simplify: iters left: 5 (106 enodes) 1546937762.678 * * [misc]simplify: iters left: 4 (358 enodes) 1546937762.946 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937762.946 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937762.946 * * * * [misc]progress: [ 322 / 5901 ] simplifiying candidate # 1546937762.947 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937762.947 * * [misc]simplify: iters left: 6 (51 enodes) 1546937762.956 * * [misc]simplify: iters left: 5 (129 enodes) 1546937762.983 * * [misc]simplify: iters left: 4 (446 enodes) 1546937763.410 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937763.410 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937763.410 * * * * [misc]progress: [ 323 / 5901 ] simplifiying candidate # 1546937763.411 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937763.411 * * [misc]simplify: iters left: 6 (52 enodes) 1546937763.421 * * [misc]simplify: iters left: 5 (136 enodes) 1546937763.448 * * [misc]simplify: iters left: 4 (477 enodes) 1546937763.837 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937763.837 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937763.837 * * * * [misc]progress: [ 324 / 5901 ] simplifiying candidate # 1546937763.838 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937763.839 * * [misc]simplify: iters left: 6 (52 enodes) 1546937763.856 * * [misc]simplify: iters left: 5 (136 enodes) 1546937763.910 * * [misc]simplify: iters left: 4 (475 enodes) 1546937764.291 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937764.291 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937764.291 * * * * [misc]progress: [ 325 / 5901 ] simplifiying candidate # 1546937764.291 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937764.292 * * [misc]simplify: iters left: 6 (46 enodes) 1546937764.309 * * [misc]simplify: iters left: 5 (116 enodes) 1546937764.357 * * [misc]simplify: iters left: 4 (394 enodes) 1546937764.651 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937764.651 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937764.651 * * * * [misc]progress: [ 326 / 5901 ] simplifiying candidate # 1546937764.652 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937764.652 * * [misc]simplify: iters left: 6 (51 enodes) 1546937764.670 * * [misc]simplify: iters left: 5 (130 enodes) 1546937764.721 * * [misc]simplify: iters left: 4 (418 enodes) 1546937765.010 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 1546937765.010 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937765.011 * * * * [misc]progress: [ 327 / 5901 ] simplifiying candidate # 1546937765.011 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937765.011 * * [misc]simplify: iters left: 6 (46 enodes) 1546937765.019 * * [misc]simplify: iters left: 5 (116 enodes) 1546937765.042 * * [misc]simplify: iters left: 4 (385 enodes) 1546937765.257 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937765.257 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937765.258 * * * * [misc]progress: [ 328 / 5901 ] simplifiying candidate # 1546937765.258 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937765.258 * * [misc]simplify: iters left: 6 (51 enodes) 1546937765.271 * * [misc]simplify: iters left: 5 (130 enodes) 1546937765.318 * * [misc]simplify: iters left: 4 (418 enodes) 1546937765.577 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 1546937765.577 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937765.577 * * * * [misc]progress: [ 329 / 5901 ] simplifiying candidate # 1546937765.578 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937765.578 * * [misc]simplify: iters left: 6 (46 enodes) 1546937765.593 * * [misc]simplify: iters left: 5 (116 enodes) 1546937765.615 * * [misc]simplify: iters left: 4 (385 enodes) 1546937765.892 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937765.893 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937765.893 * * * * [misc]progress: [ 330 / 5901 ] simplifiying candidate # 1546937765.893 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937765.894 * * [misc]simplify: iters left: 6 (48 enodes) 1546937765.910 * * [misc]simplify: iters left: 5 (119 enodes) 1546937765.946 * * [misc]simplify: iters left: 4 (400 enodes) 1546937766.290 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937766.290 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937766.290 * * * * [misc]progress: [ 331 / 5901 ] simplifiying candidate # 1546937766.291 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937766.291 * * [misc]simplify: iters left: 6 (49 enodes) 1546937766.308 * * [misc]simplify: iters left: 5 (126 enodes) 1546937766.355 * * [misc]simplify: iters left: 4 (431 enodes) 1546937766.716 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))))))) 1546937766.716 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937766.716 * * * * [misc]progress: [ 332 / 5901 ] simplifiying candidate # 1546937766.716 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937766.717 * * [misc]simplify: iters left: 6 (49 enodes) 1546937766.726 * * [misc]simplify: iters left: 5 (126 enodes) 1546937766.758 * * [misc]simplify: iters left: 4 (429 enodes) 1546937767.045 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) 1546937767.045 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937767.046 * * * * [misc]progress: [ 333 / 5901 ] simplifiying candidate # 1546937767.046 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937767.047 * * [misc]simplify: iters left: 6 (43 enodes) 1546937767.062 * * [misc]simplify: iters left: 5 (105 enodes) 1546937767.098 * * [misc]simplify: iters left: 4 (346 enodes) 1546937767.286 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 1546937767.286 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937767.287 * * * * [misc]progress: [ 334 / 5901 ] simplifiying candidate # 1546937767.287 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937767.288 * * [misc]simplify: iters left: 6 (48 enodes) 1546937767.304 * * [misc]simplify: iters left: 5 (119 enodes) 1546937767.330 * * [misc]simplify: iters left: 4 (364 enodes) 1546937767.518 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) 1546937767.519 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937767.519 * * * * [misc]progress: [ 335 / 5901 ] simplifiying candidate # 1546937767.520 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937767.520 * * [misc]simplify: iters left: 6 (43 enodes) 1546937767.535 * * [misc]simplify: iters left: 5 (105 enodes) 1546937767.572 * * [misc]simplify: iters left: 4 (331 enodes) 1546937767.791 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937767.791 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937767.791 * * * * [misc]progress: [ 336 / 5901 ] simplifiying candidate # 1546937767.792 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937767.792 * * [misc]simplify: iters left: 6 (48 enodes) 1546937767.809 * * [misc]simplify: iters left: 5 (119 enodes) 1546937767.852 * * [misc]simplify: iters left: 4 (364 enodes) 1546937768.093 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) 1546937768.093 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937768.093 * * * * [misc]progress: [ 337 / 5901 ] simplifiying candidate # 1546937768.094 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937768.094 * * [misc]simplify: iters left: 6 (43 enodes) 1546937768.115 * * [misc]simplify: iters left: 5 (105 enodes) 1546937768.149 * * [misc]simplify: iters left: 4 (331 enodes) 1546937768.305 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937768.306 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937768.306 * * * * [misc]progress: [ 338 / 5901 ] simplifiying candidate # 1546937768.306 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937768.306 * * [misc]simplify: iters left: 6 (52 enodes) 1546937768.319 * * [misc]simplify: iters left: 5 (137 enodes) 1546937768.366 * * [misc]simplify: iters left: 4 (496 enodes) 1546937768.759 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3)))))) 1546937768.759 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937768.760 * * * * [misc]progress: [ 339 / 5901 ] simplifiying candidate # 1546937768.760 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937768.760 * * [misc]simplify: iters left: 6 (53 enodes) 1546937768.770 * * [misc]simplify: iters left: 5 (144 enodes) 1546937768.849 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937768.849 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937768.849 * * * * [misc]progress: [ 340 / 5901 ] simplifiying candidate # 1546937768.849 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937768.850 * * [misc]simplify: iters left: 6 (53 enodes) 1546937768.860 * * [misc]simplify: iters left: 5 (144 enodes) 1546937768.908 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937768.908 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937768.909 * * * * [misc]progress: [ 341 / 5901 ] simplifiying candidate # 1546937768.909 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937768.910 * * [misc]simplify: iters left: 6 (47 enodes) 1546937768.926 * * [misc]simplify: iters left: 5 (124 enodes) 1546937768.970 * * [misc]simplify: iters left: 4 (444 enodes) 1546937769.285 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 1546937769.285 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937769.285 * * * * [misc]progress: [ 342 / 5901 ] simplifiying candidate # 1546937769.286 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937769.286 * * [misc]simplify: iters left: 6 (52 enodes) 1546937769.298 * * [misc]simplify: iters left: 5 (138 enodes) 1546937769.345 * * [misc]simplify: iters left: 4 (468 enodes) 1546937769.676 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937769.677 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937769.677 * * * * [misc]progress: [ 343 / 5901 ] simplifiying candidate # 1546937769.677 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937769.678 * * [misc]simplify: iters left: 6 (47 enodes) 1546937769.693 * * [misc]simplify: iters left: 5 (124 enodes) 1546937769.726 * * [misc]simplify: iters left: 4 (435 enodes) 1546937769.989 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 1546937769.989 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937769.989 * * * * [misc]progress: [ 344 / 5901 ] simplifiying candidate # 1546937769.990 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937769.991 * * [misc]simplify: iters left: 6 (52 enodes) 1546937770.009 * * [misc]simplify: iters left: 5 (138 enodes) 1546937770.045 * * [misc]simplify: iters left: 4 (468 enodes) 1546937770.365 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937770.365 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937770.366 * * * * [misc]progress: [ 345 / 5901 ] simplifiying candidate # 1546937770.366 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937770.367 * * [misc]simplify: iters left: 6 (47 enodes) 1546937770.383 * * [misc]simplify: iters left: 5 (124 enodes) 1546937770.430 * * [misc]simplify: iters left: 4 (435 enodes) 1546937770.799 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 1546937770.799 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937770.799 * * * * [misc]progress: [ 346 / 5901 ] simplifiying candidate # 1546937770.800 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937770.800 * * [misc]simplify: iters left: 6 (52 enodes) 1546937770.814 * * [misc]simplify: iters left: 5 (137 enodes) 1546937770.849 * * [misc]simplify: iters left: 4 (492 enodes) 1546937771.275 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 1546937771.275 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937771.275 * * * * [misc]progress: [ 347 / 5901 ] simplifiying candidate # 1546937771.276 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937771.276 * * [misc]simplify: iters left: 6 (53 enodes) 1546937771.291 * * [misc]simplify: iters left: 5 (144 enodes) 1546937771.335 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 1546937771.335 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937771.336 * * * * [misc]progress: [ 348 / 5901 ] simplifiying candidate # 1546937771.336 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937771.337 * * [misc]simplify: iters left: 6 (53 enodes) 1546937771.355 * * [misc]simplify: iters left: 5 (144 enodes) 1546937771.431 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 1546937771.431 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937771.432 * * * * [misc]progress: [ 349 / 5901 ] simplifiying candidate # 1546937771.432 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937771.433 * * [misc]simplify: iters left: 6 (47 enodes) 1546937771.450 * * [misc]simplify: iters left: 5 (124 enodes) 1546937771.498 * * [misc]simplify: iters left: 4 (440 enodes) 1546937771.801 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937771.801 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937771.801 * * * * [misc]progress: [ 350 / 5901 ] simplifiying candidate # 1546937771.802 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937771.802 * * [misc]simplify: iters left: 6 (52 enodes) 1546937771.811 * * [misc]simplify: iters left: 5 (138 enodes) 1546937771.849 * * [misc]simplify: iters left: 4 (464 enodes) 1546937772.198 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 1546937772.198 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937772.198 * * * * [misc]progress: [ 351 / 5901 ] simplifiying candidate # 1546937772.199 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937772.199 * * [misc]simplify: iters left: 6 (47 enodes) 1546937772.215 * * [misc]simplify: iters left: 5 (124 enodes) 1546937772.241 * * [misc]simplify: iters left: 4 (431 enodes) 1546937772.505 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 1546937772.505 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937772.506 * * * * [misc]progress: [ 352 / 5901 ] simplifiying candidate # 1546937772.506 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937772.506 * * [misc]simplify: iters left: 6 (52 enodes) 1546937772.515 * * [misc]simplify: iters left: 5 (138 enodes) 1546937772.569 * * [misc]simplify: iters left: 4 (464 enodes) 1546937772.914 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 1546937772.914 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937772.915 * * * * [misc]progress: [ 353 / 5901 ] simplifiying candidate # 1546937772.915 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937772.915 * * [misc]simplify: iters left: 6 (47 enodes) 1546937772.927 * * [misc]simplify: iters left: 5 (124 enodes) 1546937772.956 * * [misc]simplify: iters left: 4 (431 enodes) 1546937773.225 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) 1546937773.225 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937773.225 * * * * [misc]progress: [ 354 / 5901 ] simplifiying candidate # 1546937773.226 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937773.226 * * [misc]simplify: iters left: 6 (52 enodes) 1546937773.235 * * [misc]simplify: iters left: 5 (135 enodes) 1546937773.275 * * [misc]simplify: iters left: 4 (454 enodes) 1546937773.684 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) 1546937773.685 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937773.685 * * * * [misc]progress: [ 355 / 5901 ] simplifiying candidate # 1546937773.685 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937773.686 * * [misc]simplify: iters left: 6 (53 enodes) 1546937773.709 * * [misc]simplify: iters left: 5 (142 enodes) 1546937773.751 * * [misc]simplify: iters left: 4 (485 enodes) 1546937774.251 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937774.252 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937774.252 * * * * [misc]progress: [ 356 / 5901 ] simplifiying candidate # 1546937774.252 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937774.253 * * [misc]simplify: iters left: 6 (53 enodes) 1546937774.270 * * [misc]simplify: iters left: 5 (142 enodes) 1546937774.300 * * [misc]simplify: iters left: 4 (483 enodes) 1546937774.707 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937774.707 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937774.707 * * * * [misc]progress: [ 357 / 5901 ] simplifiying candidate # 1546937774.708 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937774.708 * * [misc]simplify: iters left: 6 (47 enodes) 1546937774.717 * * [misc]simplify: iters left: 5 (122 enodes) 1546937774.741 * * [misc]simplify: iters left: 4 (402 enodes) 1546937775.044 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937775.044 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937775.044 * * * * [misc]progress: [ 358 / 5901 ] simplifiying candidate # 1546937775.044 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937775.045 * * [misc]simplify: iters left: 6 (52 enodes) 1546937775.064 * * [misc]simplify: iters left: 5 (136 enodes) 1546937775.094 * * [misc]simplify: iters left: 4 (426 enodes) 1546937775.395 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937775.395 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937775.395 * * * * [misc]progress: [ 359 / 5901 ] simplifiying candidate # 1546937775.395 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937775.396 * * [misc]simplify: iters left: 6 (47 enodes) 1546937775.404 * * [misc]simplify: iters left: 5 (122 enodes) 1546937775.437 * * [misc]simplify: iters left: 4 (393 enodes) 1546937775.695 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937775.695 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937775.696 * * * * [misc]progress: [ 360 / 5901 ] simplifiying candidate # 1546937775.696 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937775.697 * * [misc]simplify: iters left: 6 (52 enodes) 1546937775.714 * * [misc]simplify: iters left: 5 (136 enodes) 1546937775.772 * * [misc]simplify: iters left: 4 (426 enodes) 1546937776.053 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) 1546937776.053 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937776.054 * * * * [misc]progress: [ 361 / 5901 ] simplifiying candidate # 1546937776.054 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937776.055 * * [misc]simplify: iters left: 6 (47 enodes) 1546937776.071 * * [misc]simplify: iters left: 5 (122 enodes) 1546937776.103 * * [misc]simplify: iters left: 4 (393 enodes) 1546937776.331 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937776.331 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937776.332 * * * * [misc]progress: [ 362 / 5901 ] simplifiying candidate # 1546937776.332 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937776.333 * * [misc]simplify: iters left: 6 (51 enodes) 1546937776.350 * * [misc]simplify: iters left: 5 (129 enodes) 1546937776.400 * * [misc]simplify: iters left: 4 (446 enodes) 1546937776.797 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) 1546937776.797 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937776.798 * * * * [misc]progress: [ 363 / 5901 ] simplifiying candidate # 1546937776.798 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937776.798 * * [misc]simplify: iters left: 6 (52 enodes) 1546937776.811 * * [misc]simplify: iters left: 5 (136 enodes) 1546937776.839 * * [misc]simplify: iters left: 4 (477 enodes) 1546937777.332 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 1546937777.333 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937777.333 * * * * [misc]progress: [ 364 / 5901 ] simplifiying candidate # 1546937777.333 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937777.334 * * [misc]simplify: iters left: 6 (52 enodes) 1546937777.352 * * [misc]simplify: iters left: 5 (136 enodes) 1546937777.398 * * [misc]simplify: iters left: 4 (475 enodes) 1546937777.828 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937777.828 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937777.828 * * * * [misc]progress: [ 365 / 5901 ] simplifiying candidate # 1546937777.829 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937777.829 * * [misc]simplify: iters left: 6 (46 enodes) 1546937777.841 * * [misc]simplify: iters left: 5 (116 enodes) 1546937777.865 * * [misc]simplify: iters left: 4 (394 enodes) 1546937778.148 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937778.148 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937778.148 * * * * [misc]progress: [ 366 / 5901 ] simplifiying candidate # 1546937778.149 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937778.149 * * [misc]simplify: iters left: 6 (51 enodes) 1546937778.167 * * [misc]simplify: iters left: 5 (130 enodes) 1546937778.213 * * [misc]simplify: iters left: 4 (418 enodes) 1546937778.474 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 1546937778.474 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937778.474 * * * * [misc]progress: [ 367 / 5901 ] simplifiying candidate # 1546937778.474 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937778.475 * * [misc]simplify: iters left: 6 (46 enodes) 1546937778.490 * * [misc]simplify: iters left: 5 (116 enodes) 1546937778.527 * * [misc]simplify: iters left: 4 (385 enodes) 1546937778.775 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))))))) 1546937778.775 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937778.775 * * * * [misc]progress: [ 368 / 5901 ] simplifiying candidate # 1546937778.775 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937778.776 * * [misc]simplify: iters left: 6 (51 enodes) 1546937778.785 * * [misc]simplify: iters left: 5 (130 enodes) 1546937778.821 * * [misc]simplify: iters left: 4 (418 enodes) 1546937779.116 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 1546937779.116 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937779.116 * * * * [misc]progress: [ 369 / 5901 ] simplifiying candidate # 1546937779.117 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937779.117 * * [misc]simplify: iters left: 6 (46 enodes) 1546937779.134 * * [misc]simplify: iters left: 5 (116 enodes) 1546937779.172 * * [misc]simplify: iters left: 4 (385 enodes) 1546937779.399 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 1546937779.399 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937779.399 * * * * [misc]progress: [ 370 / 5901 ] simplifiying candidate # 1546937779.399 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937779.400 * * [misc]simplify: iters left: 6 (48 enodes) 1546937779.408 * * [misc]simplify: iters left: 5 (122 enodes) 1546937779.432 * * [misc]simplify: iters left: 4 (412 enodes) 1546937779.773 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937779.774 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937779.774 * * * * [misc]progress: [ 371 / 5901 ] simplifiying candidate # 1546937779.774 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937779.775 * * [misc]simplify: iters left: 6 (49 enodes) 1546937779.792 * * [misc]simplify: iters left: 5 (129 enodes) 1546937779.842 * * [misc]simplify: iters left: 4 (443 enodes) 1546937780.277 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) 1546937780.278 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937780.278 * * * * [misc]progress: [ 372 / 5901 ] simplifiying candidate # 1546937780.278 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937780.278 * * [misc]simplify: iters left: 6 (49 enodes) 1546937780.287 * * [misc]simplify: iters left: 5 (129 enodes) 1546937780.334 * * [misc]simplify: iters left: 4 (441 enodes) 1546937780.656 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) 1546937780.656 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937780.656 * * * * [misc]progress: [ 373 / 5901 ] simplifiying candidate # 1546937780.657 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937780.657 * * [misc]simplify: iters left: 6 (43 enodes) 1546937780.665 * * [misc]simplify: iters left: 5 (109 enodes) 1546937780.694 * * [misc]simplify: iters left: 4 (360 enodes) 1546937780.916 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937780.916 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937780.916 * * * * [misc]progress: [ 374 / 5901 ] simplifiying candidate # 1546937780.916 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937780.916 * * [misc]simplify: iters left: 6 (48 enodes) 1546937780.925 * * [misc]simplify: iters left: 5 (123 enodes) 1546937780.949 * * [misc]simplify: iters left: 4 (384 enodes) 1546937781.200 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 1546937781.200 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937781.200 * * * * [misc]progress: [ 375 / 5901 ] simplifiying candidate # 1546937781.201 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937781.201 * * [misc]simplify: iters left: 6 (43 enodes) 1546937781.217 * * [misc]simplify: iters left: 5 (109 enodes) 1546937781.257 * * [misc]simplify: iters left: 4 (351 enodes) 1546937781.516 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937781.516 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937781.516 * * * * [misc]progress: [ 376 / 5901 ] simplifiying candidate # 1546937781.516 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937781.516 * * [misc]simplify: iters left: 6 (48 enodes) 1546937781.528 * * [misc]simplify: iters left: 5 (123 enodes) 1546937781.561 * * [misc]simplify: iters left: 4 (384 enodes) 1546937781.808 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 1546937781.808 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937781.808 * * * * [misc]progress: [ 377 / 5901 ] simplifiying candidate # 1546937781.808 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937781.809 * * [misc]simplify: iters left: 6 (43 enodes) 1546937781.824 * * [misc]simplify: iters left: 5 (109 enodes) 1546937781.849 * * [misc]simplify: iters left: 4 (351 enodes) 1546937782.134 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937782.134 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937782.134 * * * * [misc]progress: [ 378 / 5901 ] simplifiying candidate # 1546937782.134 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937782.135 * * [misc]simplify: iters left: 6 (51 enodes) 1546937782.153 * * [misc]simplify: iters left: 5 (130 enodes) 1546937782.207 * * [misc]simplify: iters left: 4 (447 enodes) 1546937782.592 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) 1546937782.593 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937782.593 * * * * [misc]progress: [ 379 / 5901 ] simplifiying candidate # 1546937782.593 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937782.594 * * [misc]simplify: iters left: 6 (52 enodes) 1546937782.616 * * [misc]simplify: iters left: 5 (137 enodes) 1546937782.669 * * [misc]simplify: iters left: 4 (478 enodes) 1546937783.062 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937783.062 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937783.062 * * * * [misc]progress: [ 380 / 5901 ] simplifiying candidate # 1546937783.063 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937783.063 * * [misc]simplify: iters left: 6 (52 enodes) 1546937783.072 * * [misc]simplify: iters left: 5 (137 enodes) 1546937783.120 * * [misc]simplify: iters left: 4 (476 enodes) 1546937783.483 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937783.483 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937783.483 * * * * [misc]progress: [ 381 / 5901 ] simplifiying candidate # 1546937783.484 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937783.484 * * [misc]simplify: iters left: 6 (46 enodes) 1546937783.500 * * [misc]simplify: iters left: 5 (117 enodes) 1546937783.544 * * [misc]simplify: iters left: 4 (395 enodes) 1546937783.834 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937783.834 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937783.834 * * * * [misc]progress: [ 382 / 5901 ] simplifiying candidate # 1546937783.834 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937783.834 * * [misc]simplify: iters left: 6 (51 enodes) 1546937783.844 * * [misc]simplify: iters left: 5 (131 enodes) 1546937783.869 * * [misc]simplify: iters left: 4 (419 enodes) 1546937784.123 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 1546937784.123 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937784.123 * * * * [misc]progress: [ 383 / 5901 ] simplifiying candidate # 1546937784.124 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937784.124 * * [misc]simplify: iters left: 6 (46 enodes) 1546937784.135 * * [misc]simplify: iters left: 5 (117 enodes) 1546937784.160 * * [misc]simplify: iters left: 4 (386 enodes) 1546937784.443 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))))))) 1546937784.443 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937784.443 * * * * [misc]progress: [ 384 / 5901 ] simplifiying candidate # 1546937784.444 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937784.444 * * [misc]simplify: iters left: 6 (51 enodes) 1546937784.461 * * [misc]simplify: iters left: 5 (131 enodes) 1546937784.489 * * [misc]simplify: iters left: 4 (419 enodes) 1546937784.757 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 1546937784.758 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937784.758 * * * * [misc]progress: [ 385 / 5901 ] simplifiying candidate # 1546937784.758 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937784.759 * * [misc]simplify: iters left: 6 (46 enodes) 1546937784.770 * * [misc]simplify: iters left: 5 (117 enodes) 1546937784.800 * * [misc]simplify: iters left: 4 (386 enodes) 1546937785.650 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) 1546937785.650 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937785.650 * * * * [misc]progress: [ 386 / 5901 ] simplifiying candidate # 1546937785.650 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937785.651 * * [misc]simplify: iters left: 6 (50 enodes) 1546937785.660 * * [misc]simplify: iters left: 5 (127 enodes) 1546937785.706 * * [misc]simplify: iters left: 4 (435 enodes) 1546937786.108 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 1546937786.109 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937786.109 * * * * [misc]progress: [ 387 / 5901 ] simplifiying candidate # 1546937786.109 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937786.110 * * [misc]simplify: iters left: 6 (51 enodes) 1546937786.127 * * [misc]simplify: iters left: 5 (134 enodes) 1546937786.182 * * [misc]simplify: iters left: 4 (466 enodes) 1546937786.618 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) 1546937786.618 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937786.618 * * * * [misc]progress: [ 388 / 5901 ] simplifiying candidate # 1546937786.618 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937786.618 * * [misc]simplify: iters left: 6 (51 enodes) 1546937786.628 * * [misc]simplify: iters left: 5 (134 enodes) 1546937786.658 * * [misc]simplify: iters left: 4 (464 enodes) 1546937787.028 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937787.029 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937787.029 * * * * [misc]progress: [ 389 / 5901 ] simplifiying candidate # 1546937787.029 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937787.029 * * [misc]simplify: iters left: 6 (45 enodes) 1546937787.037 * * [misc]simplify: iters left: 5 (114 enodes) 1546937787.067 * * [misc]simplify: iters left: 4 (383 enodes) 1546937787.342 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 1546937787.342 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937787.342 * * * * [misc]progress: [ 390 / 5901 ] simplifiying candidate # 1546937787.342 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937787.343 * * [misc]simplify: iters left: 6 (50 enodes) 1546937787.361 * * [misc]simplify: iters left: 5 (128 enodes) 1546937787.407 * * [misc]simplify: iters left: 4 (414 enodes) 1546937787.649 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937787.649 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937787.649 * * * * [misc]progress: [ 391 / 5901 ] simplifiying candidate # 1546937787.650 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937787.650 * * [misc]simplify: iters left: 6 (45 enodes) 1546937787.663 * * [misc]simplify: iters left: 5 (114 enodes) 1546937787.688 * * [misc]simplify: iters left: 4 (381 enodes) 1546937787.945 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) 1546937787.946 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937787.946 * * * * [misc]progress: [ 392 / 5901 ] simplifiying candidate # 1546937787.946 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937787.947 * * [misc]simplify: iters left: 6 (50 enodes) 1546937787.965 * * [misc]simplify: iters left: 5 (128 enodes) 1546937787.997 * * [misc]simplify: iters left: 4 (414 enodes) 1546937788.266 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937788.266 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937788.267 * * * * [misc]progress: [ 393 / 5901 ] simplifiying candidate # 1546937788.267 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937788.267 * * [misc]simplify: iters left: 6 (45 enodes) 1546937788.275 * * [misc]simplify: iters left: 5 (114 enodes) 1546937788.312 * * [misc]simplify: iters left: 4 (381 enodes) 1546937788.517 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 1546937788.518 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937788.518 * * * * [misc]progress: [ 394 / 5901 ] simplifiying candidate # 1546937788.518 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937788.518 * * [misc]simplify: iters left: 6 (45 enodes) 1546937788.526 * * [misc]simplify: iters left: 5 (111 enodes) 1546937788.566 * * [misc]simplify: iters left: 4 (376 enodes) 1546937788.844 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))) 1546937788.845 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937788.845 * * * * [misc]progress: [ 395 / 5901 ] simplifiying candidate # 1546937788.845 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937788.845 * * [misc]simplify: iters left: 6 (46 enodes) 1546937788.853 * * [misc]simplify: iters left: 5 (118 enodes) 1546937788.879 * * [misc]simplify: iters left: 4 (407 enodes) 1546937789.165 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 1546937789.165 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937789.165 * * * * [misc]progress: [ 396 / 5901 ] simplifiying candidate # 1546937789.166 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937789.167 * * [misc]simplify: iters left: 6 (46 enodes) 1546937789.182 * * [misc]simplify: iters left: 5 (118 enodes) 1546937789.218 * * [misc]simplify: iters left: 4 (405 enodes) 1546937789.487 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 1546937789.487 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937789.488 * * * * [misc]progress: [ 397 / 5901 ] simplifiying candidate # 1546937789.488 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937789.488 * * [misc]simplify: iters left: 6 (40 enodes) 1546937789.504 * * [misc]simplify: iters left: 5 (98 enodes) 1546937789.542 * * [misc]simplify: iters left: 4 (324 enodes) 1546937789.757 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (- phi1 phi2))))))) 1546937789.757 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937789.757 * * * * [misc]progress: [ 398 / 5901 ] simplifiying candidate # 1546937789.758 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937789.758 * * [misc]simplify: iters left: 6 (45 enodes) 1546937789.775 * * [misc]simplify: iters left: 5 (113 enodes) 1546937789.814 * * [misc]simplify: iters left: 4 (344 enodes) 1546937789.982 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) 1546937789.982 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937789.982 * * * * [misc]progress: [ 399 / 5901 ] simplifiying candidate # 1546937789.982 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937789.983 * * [misc]simplify: iters left: 6 (40 enodes) 1546937789.998 * * [misc]simplify: iters left: 5 (99 enodes) 1546937790.025 * * [misc]simplify: iters left: 4 (311 enodes) 1546937790.179 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937790.179 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937790.179 * * * * [misc]progress: [ 400 / 5901 ] simplifiying candidate # 1546937790.180 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937790.180 * * [misc]simplify: iters left: 6 (45 enodes) 1546937790.188 * * [misc]simplify: iters left: 5 (113 enodes) 1546937790.211 * * [misc]simplify: iters left: 4 (344 enodes) 1546937790.418 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) 1546937790.418 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937790.418 * * * * [misc]progress: [ 401 / 5901 ] simplifiying candidate # 1546937790.419 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937790.419 * * [misc]simplify: iters left: 6 (40 enodes) 1546937790.433 * * [misc]simplify: iters left: 5 (99 enodes) 1546937790.475 * * [misc]simplify: iters left: 4 (311 enodes) 1546937790.704 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937790.705 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937790.705 * * * * [misc]progress: [ 402 / 5901 ] simplifiying candidate # 1546937790.705 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937790.705 * * [misc]simplify: iters left: 6 (52 enodes) 1546937790.715 * * [misc]simplify: iters left: 5 (138 enodes) 1546937790.758 * * [misc]simplify: iters left: 4 (495 enodes) 1546937791.200 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937791.201 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937791.201 * * * * [misc]progress: [ 403 / 5901 ] simplifiying candidate # 1546937791.201 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937791.202 * * [misc]simplify: iters left: 6 (53 enodes) 1546937791.220 * * [misc]simplify: iters left: 5 (145 enodes) 1546937791.270 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546937791.270 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937791.271 * * * * [misc]progress: [ 404 / 5901 ] simplifiying candidate # 1546937791.271 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937791.272 * * [misc]simplify: iters left: 6 (53 enodes) 1546937791.290 * * [misc]simplify: iters left: 5 (145 enodes) 1546937791.370 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546937791.370 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937791.371 * * * * [misc]progress: [ 405 / 5901 ] simplifiying candidate # 1546937791.371 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937791.372 * * [misc]simplify: iters left: 6 (47 enodes) 1546937791.387 * * [misc]simplify: iters left: 5 (125 enodes) 1546937791.433 * * [misc]simplify: iters left: 4 (443 enodes) 1546937791.777 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937791.777 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937791.778 * * * * [misc]progress: [ 406 / 5901 ] simplifiying candidate # 1546937791.778 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937791.779 * * [misc]simplify: iters left: 6 (52 enodes) 1546937791.796 * * [misc]simplify: iters left: 5 (139 enodes) 1546937791.849 * * [misc]simplify: iters left: 4 (467 enodes) 1546937792.186 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937792.186 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937792.187 * * * * [misc]progress: [ 407 / 5901 ] simplifiying candidate # 1546937792.187 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937792.188 * * [misc]simplify: iters left: 6 (47 enodes) 1546937792.210 * * [misc]simplify: iters left: 5 (125 enodes) 1546937792.240 * * [misc]simplify: iters left: 4 (434 enodes) 1546937792.490 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937792.490 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937792.490 * * * * [misc]progress: [ 408 / 5901 ] simplifiying candidate # 1546937792.491 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937792.491 * * [misc]simplify: iters left: 6 (52 enodes) 1546937792.508 * * [misc]simplify: iters left: 5 (139 enodes) 1546937792.562 * * [misc]simplify: iters left: 4 (467 enodes) 1546937792.856 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937792.856 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937792.856 * * * * [misc]progress: [ 409 / 5901 ] simplifiying candidate # 1546937792.856 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937792.856 * * [misc]simplify: iters left: 6 (47 enodes) 1546937792.865 * * [misc]simplify: iters left: 5 (125 enodes) 1546937792.896 * * [misc]simplify: iters left: 4 (434 enodes) 1546937793.189 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937793.190 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937793.190 * * * * [misc]progress: [ 410 / 5901 ] simplifiying candidate # 1546937793.190 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937793.190 * * [misc]simplify: iters left: 6 (52 enodes) 1546937793.203 * * [misc]simplify: iters left: 5 (137 enodes) 1546937793.247 * * [misc]simplify: iters left: 4 (489 enodes) 1546937793.635 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 1546937793.635 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (+ lambda2 lambda1)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937793.635 * * * * [misc]progress: [ 411 / 5901 ] simplifiying candidate # 1546937793.636 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937793.636 * * [misc]simplify: iters left: 6 (53 enodes) 1546937793.645 * * [misc]simplify: iters left: 5 (144 enodes) 1546937793.708 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546937793.708 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937793.709 * * * * [misc]progress: [ 412 / 5901 ] simplifiying candidate # 1546937793.709 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937793.710 * * [misc]simplify: iters left: 6 (53 enodes) 1546937793.728 * * [misc]simplify: iters left: 5 (144 enodes) 1546937793.804 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937793.804 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937793.804 * * * * [misc]progress: [ 413 / 5901 ] simplifiying candidate # 1546937793.805 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937793.805 * * [misc]simplify: iters left: 6 (47 enodes) 1546937793.825 * * [misc]simplify: iters left: 5 (124 enodes) 1546937793.873 * * [misc]simplify: iters left: 4 (437 enodes) 1546937794.180 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937794.180 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937794.180 * * * * [misc]progress: [ 414 / 5901 ] simplifiying candidate # 1546937794.181 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937794.181 * * [misc]simplify: iters left: 6 (52 enodes) 1546937794.199 * * [misc]simplify: iters left: 5 (138 enodes) 1546937794.253 * * [misc]simplify: iters left: 4 (461 enodes) 1546937794.609 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937794.609 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937794.609 * * * * [misc]progress: [ 415 / 5901 ] simplifiying candidate # 1546937794.610 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937794.610 * * [misc]simplify: iters left: 6 (47 enodes) 1546937794.627 * * [misc]simplify: iters left: 5 (124 enodes) 1546937794.655 * * [misc]simplify: iters left: 4 (428 enodes) 1546937794.959 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937794.959 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937794.959 * * * * [misc]progress: [ 416 / 5901 ] simplifiying candidate # 1546937794.960 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937794.961 * * [misc]simplify: iters left: 6 (52 enodes) 1546937794.978 * * [misc]simplify: iters left: 5 (138 enodes) 1546937795.034 * * [misc]simplify: iters left: 4 (461 enodes) 1546937795.366 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937795.366 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937795.367 * * * * [misc]progress: [ 417 / 5901 ] simplifiying candidate # 1546937795.367 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937795.368 * * [misc]simplify: iters left: 6 (47 enodes) 1546937795.384 * * [misc]simplify: iters left: 5 (124 enodes) 1546937795.429 * * [misc]simplify: iters left: 4 (428 enodes) 1546937795.788 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937795.788 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937795.788 * * * * [misc]progress: [ 418 / 5901 ] simplifiying candidate # 1546937795.789 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937795.789 * * [misc]simplify: iters left: 6 (52 enodes) 1546937795.802 * * [misc]simplify: iters left: 5 (136 enodes) 1546937795.833 * * [misc]simplify: iters left: 4 (453 enodes) 1546937796.206 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) 1546937796.207 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937796.207 * * * * [misc]progress: [ 419 / 5901 ] simplifiying candidate # 1546937796.207 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937796.208 * * [misc]simplify: iters left: 6 (53 enodes) 1546937796.223 * * [misc]simplify: iters left: 5 (143 enodes) 1546937796.251 * * [misc]simplify: iters left: 4 (484 enodes) 1546937796.713 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) 1546937796.713 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937796.713 * * * * [misc]progress: [ 420 / 5901 ] simplifiying candidate # 1546937796.714 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937796.714 * * [misc]simplify: iters left: 6 (53 enodes) 1546937796.733 * * [misc]simplify: iters left: 5 (143 enodes) 1546937796.777 * * [misc]simplify: iters left: 4 (482 enodes) 1546937797.225 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937797.225 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937797.225 * * * * [misc]progress: [ 421 / 5901 ] simplifiying candidate # 1546937797.226 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937797.226 * * [misc]simplify: iters left: 6 (47 enodes) 1546937797.243 * * [misc]simplify: iters left: 5 (123 enodes) 1546937797.290 * * [misc]simplify: iters left: 4 (401 enodes) 1546937797.587 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546937797.587 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937797.588 * * * * [misc]progress: [ 422 / 5901 ] simplifiying candidate # 1546937797.588 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937797.588 * * [misc]simplify: iters left: 6 (52 enodes) 1546937797.598 * * [misc]simplify: iters left: 5 (137 enodes) 1546937797.632 * * [misc]simplify: iters left: 4 (425 enodes) 1546937797.913 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937797.913 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937797.914 * * * * [misc]progress: [ 423 / 5901 ] simplifiying candidate # 1546937797.914 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937797.914 * * [misc]simplify: iters left: 6 (47 enodes) 1546937797.923 * * [misc]simplify: iters left: 5 (123 enodes) 1546937797.962 * * [misc]simplify: iters left: 4 (392 enodes) 1546937798.171 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937798.171 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937798.171 * * * * [misc]progress: [ 424 / 5901 ] simplifiying candidate # 1546937798.171 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937798.171 * * [misc]simplify: iters left: 6 (52 enodes) 1546937798.181 * * [misc]simplify: iters left: 5 (137 enodes) 1546937798.210 * * [misc]simplify: iters left: 4 (425 enodes) 1546937798.450 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937798.450 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937798.450 * * * * [misc]progress: [ 425 / 5901 ] simplifiying candidate # 1546937798.450 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937798.450 * * [misc]simplify: iters left: 6 (47 enodes) 1546937798.459 * * [misc]simplify: iters left: 5 (123 enodes) 1546937798.494 * * [misc]simplify: iters left: 4 (392 enodes) 1546937798.710 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937798.711 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937798.711 * * * * [misc]progress: [ 426 / 5901 ] simplifiying candidate # 1546937798.711 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937798.712 * * [misc]simplify: iters left: 6 (47 enodes) 1546937798.731 * * [misc]simplify: iters left: 5 (119 enodes) 1546937798.768 * * [misc]simplify: iters left: 4 (405 enodes) 1546937799.084 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937799.084 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))))) (* (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937799.085 * * * * [misc]progress: [ 427 / 5901 ] simplifiying candidate # 1546937799.085 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937799.085 * * [misc]simplify: iters left: 6 (48 enodes) 1546937799.097 * * [misc]simplify: iters left: 5 (126 enodes) 1546937799.122 * * [misc]simplify: iters left: 4 (436 enodes) 1546937799.473 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (- (pow phi1 3) (pow phi2 3)))))) 1546937799.473 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937799.473 * * * * [misc]progress: [ 428 / 5901 ] simplifiying candidate # 1546937799.473 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937799.474 * * [misc]simplify: iters left: 6 (48 enodes) 1546937799.492 * * [misc]simplify: iters left: 5 (126 enodes) 1546937799.523 * * [misc]simplify: iters left: 4 (434 enodes) 1546937799.954 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) 1546937799.954 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937799.954 * * * * [misc]progress: [ 429 / 5901 ] simplifiying candidate # 1546937799.954 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937799.954 * * [misc]simplify: iters left: 6 (42 enodes) 1546937799.962 * * [misc]simplify: iters left: 5 (106 enodes) 1546937799.982 * * [misc]simplify: iters left: 4 (360 enodes) 1546937800.252 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (+ phi2 phi1)))))) 1546937800.252 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937800.252 * * * * [misc]progress: [ 430 / 5901 ] simplifiying candidate # 1546937800.252 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937800.252 * * [misc]simplify: iters left: 6 (47 enodes) 1546937800.261 * * [misc]simplify: iters left: 5 (120 enodes) 1546937800.283 * * [misc]simplify: iters left: 4 (377 enodes) 1546937800.543 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937800.543 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937800.543 * * * * [misc]progress: [ 431 / 5901 ] simplifiying candidate # 1546937800.544 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937800.544 * * [misc]simplify: iters left: 6 (42 enodes) 1546937800.552 * * [misc]simplify: iters left: 5 (106 enodes) 1546937800.572 * * [misc]simplify: iters left: 4 (358 enodes) 1546937800.805 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937800.805 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937800.805 * * * * [misc]progress: [ 432 / 5901 ] simplifiying candidate # 1546937800.806 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937800.806 * * [misc]simplify: iters left: 6 (47 enodes) 1546937800.822 * * [misc]simplify: iters left: 5 (120 enodes) 1546937800.866 * * [misc]simplify: iters left: 4 (377 enodes) 1546937801.108 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937801.108 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937801.108 * * * * [misc]progress: [ 433 / 5901 ] simplifiying candidate # 1546937801.109 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937801.109 * * [misc]simplify: iters left: 6 (42 enodes) 1546937801.124 * * [misc]simplify: iters left: 5 (106 enodes) 1546937801.165 * * [misc]simplify: iters left: 4 (358 enodes) 1546937801.411 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937801.411 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937801.411 * * * * [misc]progress: [ 434 / 5901 ] simplifiying candidate # 1546937801.411 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937801.412 * * [misc]simplify: iters left: 6 (51 enodes) 1546937801.421 * * [misc]simplify: iters left: 5 (130 enodes) 1546937801.453 * * [misc]simplify: iters left: 4 (447 enodes) 1546937801.797 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937801.797 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937801.797 * * * * [misc]progress: [ 435 / 5901 ] simplifiying candidate # 1546937801.797 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937801.798 * * [misc]simplify: iters left: 6 (52 enodes) 1546937801.816 * * [misc]simplify: iters left: 5 (137 enodes) 1546937801.870 * * [misc]simplify: iters left: 4 (478 enodes) 1546937802.242 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937802.242 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937802.242 * * * * [misc]progress: [ 436 / 5901 ] simplifiying candidate # 1546937802.242 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937802.243 * * [misc]simplify: iters left: 6 (52 enodes) 1546937802.252 * * [misc]simplify: iters left: 5 (137 enodes) 1546937802.294 * * [misc]simplify: iters left: 4 (476 enodes) 1546937802.691 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937802.691 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937802.692 * * * * [misc]progress: [ 437 / 5901 ] simplifiying candidate # 1546937802.692 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937802.692 * * [misc]simplify: iters left: 6 (46 enodes) 1546937802.700 * * [misc]simplify: iters left: 5 (117 enodes) 1546937802.733 * * [misc]simplify: iters left: 4 (395 enodes) 1546937803.038 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937803.038 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937803.039 * * * * [misc]progress: [ 438 / 5901 ] simplifiying candidate # 1546937803.039 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937803.039 * * [misc]simplify: iters left: 6 (51 enodes) 1546937803.052 * * [misc]simplify: iters left: 5 (131 enodes) 1546937803.093 * * [misc]simplify: iters left: 4 (419 enodes) 1546937803.322 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))))) 1546937803.322 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937803.322 * * * * [misc]progress: [ 439 / 5901 ] simplifiying candidate # 1546937803.323 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937803.323 * * [misc]simplify: iters left: 6 (46 enodes) 1546937803.338 * * [misc]simplify: iters left: 5 (117 enodes) 1546937803.372 * * [misc]simplify: iters left: 4 (386 enodes) 1546937803.636 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (- phi1 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) 1546937803.636 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (- phi1 phi2)) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937803.636 * * * * [misc]progress: [ 440 / 5901 ] simplifiying candidate # 1546937803.637 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937803.638 * * [misc]simplify: iters left: 6 (51 enodes) 1546937803.655 * * [misc]simplify: iters left: 5 (131 enodes) 1546937803.695 * * [misc]simplify: iters left: 4 (419 enodes) 1546937803.998 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)))))) 1546937803.998 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937803.998 * * * * [misc]progress: [ 441 / 5901 ] simplifiying candidate # 1546937803.999 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937803.999 * * [misc]simplify: iters left: 6 (46 enodes) 1546937804.007 * * [misc]simplify: iters left: 5 (117 enodes) 1546937804.037 * * [misc]simplify: iters left: 4 (386 enodes) 1546937804.325 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) 1546937804.325 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))) (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937804.326 * * * * [misc]progress: [ 442 / 5901 ] simplifiying candidate # 1546937804.326 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937804.326 * * [misc]simplify: iters left: 6 (45 enodes) 1546937804.338 * * [misc]simplify: iters left: 5 (115 enodes) 1546937804.364 * * [misc]simplify: iters left: 4 (390 enodes) 1546937804.680 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) 1546937804.680 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* (+ lambda2 lambda1) lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937804.680 * * * * [misc]progress: [ 443 / 5901 ] simplifiying candidate # 1546937804.680 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937804.681 * * [misc]simplify: iters left: 6 (46 enodes) 1546937804.696 * * [misc]simplify: iters left: 5 (122 enodes) 1546937804.733 * * [misc]simplify: iters left: 4 (421 enodes) 1546937805.145 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 1546937805.145 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937805.145 * * * * [misc]progress: [ 444 / 5901 ] simplifiying candidate # 1546937805.146 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937805.146 * * [misc]simplify: iters left: 6 (46 enodes) 1546937805.154 * * [misc]simplify: iters left: 5 (122 enodes) 1546937805.195 * * [misc]simplify: iters left: 4 (419 enodes) 1546937805.481 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* phi1 phi1) (* phi2 phi2))))))) 1546937805.481 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937805.481 * * * * [misc]progress: [ 445 / 5901 ] simplifiying candidate # 1546937805.482 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937805.482 * * [misc]simplify: iters left: 6 (40 enodes) 1546937805.493 * * [misc]simplify: iters left: 5 (102 enodes) 1546937805.513 * * [misc]simplify: iters left: 4 (338 enodes) 1546937805.771 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))))) 1546937805.771 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937805.771 * * * * [misc]progress: [ 446 / 5901 ] simplifiying candidate # 1546937805.772 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937805.772 * * [misc]simplify: iters left: 6 (45 enodes) 1546937805.788 * * [misc]simplify: iters left: 5 (116 enodes) 1546937805.829 * * [misc]simplify: iters left: 4 (362 enodes) 1546937806.135 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) 1546937806.135 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937806.136 * * * * [misc]progress: [ 447 / 5901 ] simplifiying candidate # 1546937806.136 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937806.136 * * [misc]simplify: iters left: 6 (40 enodes) 1546937806.150 * * [misc]simplify: iters left: 5 (102 enodes) 1546937806.193 * * [misc]simplify: iters left: 4 (329 enodes) 1546937806.424 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ phi2 phi1))))) 1546937806.424 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937806.425 * * * * [misc]progress: [ 448 / 5901 ] simplifiying candidate # 1546937806.425 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937806.425 * * [misc]simplify: iters left: 6 (45 enodes) 1546937806.433 * * [misc]simplify: iters left: 5 (116 enodes) 1546937806.456 * * [misc]simplify: iters left: 4 (362 enodes) 1546937806.705 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) 1546937806.705 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937806.705 * * * * [misc]progress: [ 449 / 5901 ] simplifiying candidate # 1546937806.705 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937806.706 * * [misc]simplify: iters left: 6 (40 enodes) 1546937806.719 * * [misc]simplify: iters left: 5 (102 enodes) 1546937806.757 * * [misc]simplify: iters left: 4 (329 enodes) 1546937806.955 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937806.955 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937806.955 * * * * [misc]progress: [ 450 / 5901 ] simplifiying candidate # 1546937806.956 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937806.956 * * [misc]simplify: iters left: 6 (51 enodes) 1546937806.965 * * [misc]simplify: iters left: 5 (129 enodes) 1546937806.998 * * [misc]simplify: iters left: 4 (446 enodes) 1546937807.433 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937807.433 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937807.433 * * * * [misc]progress: [ 451 / 5901 ] simplifiying candidate # 1546937807.434 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937807.434 * * [misc]simplify: iters left: 6 (52 enodes) 1546937807.448 * * [misc]simplify: iters left: 5 (136 enodes) 1546937807.499 * * [misc]simplify: iters left: 4 (477 enodes) 1546937807.875 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937807.875 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937807.875 * * * * [misc]progress: [ 452 / 5901 ] simplifiying candidate # 1546937807.876 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937807.877 * * [misc]simplify: iters left: 6 (52 enodes) 1546937807.895 * * [misc]simplify: iters left: 5 (136 enodes) 1546937807.947 * * [misc]simplify: iters left: 4 (475 enodes) 1546937808.386 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937808.386 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937808.386 * * * * [misc]progress: [ 453 / 5901 ] simplifiying candidate # 1546937808.386 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937808.387 * * [misc]simplify: iters left: 6 (46 enodes) 1546937808.395 * * [misc]simplify: iters left: 5 (116 enodes) 1546937808.421 * * [misc]simplify: iters left: 4 (394 enodes) 1546937808.654 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937808.655 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937808.655 * * * * [misc]progress: [ 454 / 5901 ] simplifiying candidate # 1546937808.655 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937808.656 * * [misc]simplify: iters left: 6 (51 enodes) 1546937808.672 * * [misc]simplify: iters left: 5 (130 enodes) 1546937808.698 * * [misc]simplify: iters left: 4 (418 enodes) 1546937808.954 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 1546937808.954 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937808.954 * * * * [misc]progress: [ 455 / 5901 ] simplifiying candidate # 1546937808.954 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937808.955 * * [misc]simplify: iters left: 6 (46 enodes) 1546937808.963 * * [misc]simplify: iters left: 5 (116 enodes) 1546937809.001 * * [misc]simplify: iters left: 4 (385 enodes) 1546937809.210 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937809.210 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937809.211 * * * * [misc]progress: [ 456 / 5901 ] simplifiying candidate # 1546937809.211 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937809.211 * * [misc]simplify: iters left: 6 (51 enodes) 1546937809.221 * * [misc]simplify: iters left: 5 (130 enodes) 1546937809.265 * * [misc]simplify: iters left: 4 (418 enodes) 1546937809.541 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 1546937809.541 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (* (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))) (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937809.541 * * * * [misc]progress: [ 457 / 5901 ] simplifiying candidate # 1546937809.542 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937809.542 * * [misc]simplify: iters left: 6 (46 enodes) 1546937809.556 * * [misc]simplify: iters left: 5 (116 enodes) 1546937809.580 * * [misc]simplify: iters left: 4 (385 enodes) 1546937809.861 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937809.861 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937809.861 * * * * [misc]progress: [ 458 / 5901 ] simplifiying candidate # 1546937809.862 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937809.862 * * [misc]simplify: iters left: 6 (48 enodes) 1546937809.879 * * [misc]simplify: iters left: 5 (119 enodes) 1546937809.912 * * [misc]simplify: iters left: 4 (400 enodes) 1546937810.325 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937810.325 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937810.325 * * * * [misc]progress: [ 459 / 5901 ] simplifiying candidate # 1546937810.326 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937810.326 * * [misc]simplify: iters left: 6 (49 enodes) 1546937810.344 * * [misc]simplify: iters left: 5 (126 enodes) 1546937810.397 * * [misc]simplify: iters left: 4 (431 enodes) 1546937811.178 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 1546937811.178 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937811.179 * * * * [misc]progress: [ 460 / 5901 ] simplifiying candidate # 1546937811.179 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937811.179 * * [misc]simplify: iters left: 6 (49 enodes) 1546937811.189 * * [misc]simplify: iters left: 5 (126 enodes) 1546937811.227 * * [misc]simplify: iters left: 4 (429 enodes) 1546937811.613 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) 1546937811.614 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937811.614 * * * * [misc]progress: [ 461 / 5901 ] simplifiying candidate # 1546937811.614 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937811.615 * * [misc]simplify: iters left: 6 (43 enodes) 1546937811.629 * * [misc]simplify: iters left: 5 (105 enodes) 1546937811.668 * * [misc]simplify: iters left: 4 (346 enodes) 1546937811.857 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) 1546937811.857 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937811.857 * * * * [misc]progress: [ 462 / 5901 ] simplifiying candidate # 1546937811.857 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937811.858 * * [misc]simplify: iters left: 6 (48 enodes) 1546937811.866 * * [misc]simplify: iters left: 5 (119 enodes) 1546937811.892 * * [misc]simplify: iters left: 4 (364 enodes) 1546937812.081 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) 1546937812.082 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937812.082 * * * * [misc]progress: [ 463 / 5901 ] simplifiying candidate # 1546937812.082 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937812.082 * * [misc]simplify: iters left: 6 (43 enodes) 1546937812.090 * * [misc]simplify: iters left: 5 (105 enodes) 1546937812.112 * * [misc]simplify: iters left: 4 (331 enodes) 1546937812.291 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937812.292 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937812.292 * * * * [misc]progress: [ 464 / 5901 ] simplifiying candidate # 1546937812.292 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937812.292 * * [misc]simplify: iters left: 6 (48 enodes) 1546937812.301 * * [misc]simplify: iters left: 5 (119 enodes) 1546937812.323 * * [misc]simplify: iters left: 4 (364 enodes) 1546937812.544 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) 1546937812.544 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937812.545 * * * * [misc]progress: [ 465 / 5901 ] simplifiying candidate # 1546937812.545 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937812.545 * * [misc]simplify: iters left: 6 (43 enodes) 1546937812.554 * * [misc]simplify: iters left: 5 (105 enodes) 1546937812.593 * * [misc]simplify: iters left: 4 (331 enodes) 1546937812.783 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937812.784 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937812.784 * * * * [misc]progress: [ 466 / 5901 ] simplifiying candidate # 1546937812.785 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937812.785 * * [misc]simplify: iters left: 6 (52 enodes) 1546937812.803 * * [misc]simplify: iters left: 5 (138 enodes) 1546937812.863 * * [misc]simplify: iters left: 4 (497 enodes) 1546937813.286 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3)))))) 1546937813.286 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937813.286 * * * * [misc]progress: [ 467 / 5901 ] simplifiying candidate # 1546937813.286 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937813.287 * * [misc]simplify: iters left: 6 (53 enodes) 1546937813.297 * * [misc]simplify: iters left: 5 (145 enodes) 1546937813.365 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937813.365 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937813.366 * * * * [misc]progress: [ 468 / 5901 ] simplifiying candidate # 1546937813.366 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937813.367 * * [misc]simplify: iters left: 6 (53 enodes) 1546937813.385 * * [misc]simplify: iters left: 5 (145 enodes) 1546937813.445 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) 1546937813.445 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937813.445 * * * * [misc]progress: [ 469 / 5901 ] simplifiying candidate # 1546937813.445 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937813.446 * * [misc]simplify: iters left: 6 (47 enodes) 1546937813.463 * * [misc]simplify: iters left: 5 (125 enodes) 1546937813.496 * * [misc]simplify: iters left: 4 (445 enodes) 1546937813.830 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) 1546937813.830 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937813.830 * * * * [misc]progress: [ 470 / 5901 ] simplifiying candidate # 1546937813.831 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937813.831 * * [misc]simplify: iters left: 6 (52 enodes) 1546937813.850 * * [misc]simplify: iters left: 5 (139 enodes) 1546937813.906 * * [misc]simplify: iters left: 4 (469 enodes) 1546937814.250 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) 1546937814.250 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937814.250 * * * * [misc]progress: [ 471 / 5901 ] simplifiying candidate # 1546937814.251 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937814.251 * * [misc]simplify: iters left: 6 (47 enodes) 1546937814.267 * * [misc]simplify: iters left: 5 (125 enodes) 1546937814.292 * * [misc]simplify: iters left: 4 (436 enodes) 1546937814.612 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937814.613 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937814.613 * * * * [misc]progress: [ 472 / 5901 ] simplifiying candidate # 1546937814.613 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937814.613 * * [misc]simplify: iters left: 6 (52 enodes) 1546937814.623 * * [misc]simplify: iters left: 5 (139 enodes) 1546937814.672 * * [misc]simplify: iters left: 4 (469 enodes) 1546937815.011 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) 1546937815.011 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937815.012 * * * * [misc]progress: [ 473 / 5901 ] simplifiying candidate # 1546937815.012 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937815.017 * * [misc]simplify: iters left: 6 (47 enodes) 1546937815.026 * * [misc]simplify: iters left: 5 (125 enodes) 1546937815.050 * * [misc]simplify: iters left: 4 (436 enodes) 1546937815.325 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937815.325 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937815.326 * * * * [misc]progress: [ 474 / 5901 ] simplifiying candidate # 1546937815.326 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937815.327 * * [misc]simplify: iters left: 6 (52 enodes) 1546937815.345 * * [misc]simplify: iters left: 5 (137 enodes) 1546937815.383 * * [misc]simplify: iters left: 4 (492 enodes) 1546937815.798 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) 1546937815.798 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937815.798 * * * * [misc]progress: [ 475 / 5901 ] simplifiying candidate # 1546937815.798 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937815.799 * * [misc]simplify: iters left: 6 (53 enodes) 1546937815.813 * * [misc]simplify: iters left: 5 (144 enodes) 1546937815.867 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) 1546937815.867 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937815.867 * * * * [misc]progress: [ 476 / 5901 ] simplifiying candidate # 1546937815.867 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937815.868 * * [misc]simplify: iters left: 6 (53 enodes) 1546937815.887 * * [misc]simplify: iters left: 5 (144 enodes) 1546937815.960 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) 1546937815.960 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937815.960 * * * * [misc]progress: [ 477 / 5901 ] simplifiying candidate # 1546937815.960 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937815.960 * * [misc]simplify: iters left: 6 (47 enodes) 1546937815.968 * * [misc]simplify: iters left: 5 (124 enodes) 1546937815.994 * * [misc]simplify: iters left: 4 (440 enodes) 1546937816.270 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937816.270 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937816.270 * * * * [misc]progress: [ 478 / 5901 ] simplifiying candidate # 1546937816.271 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937816.271 * * [misc]simplify: iters left: 6 (52 enodes) 1546937816.289 * * [misc]simplify: iters left: 5 (138 enodes) 1546937816.317 * * [misc]simplify: iters left: 4 (464 enodes) 1546937816.668 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937816.668 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937816.668 * * * * [misc]progress: [ 479 / 5901 ] simplifiying candidate # 1546937816.669 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937816.669 * * [misc]simplify: iters left: 6 (47 enodes) 1546937816.685 * * [misc]simplify: iters left: 5 (124 enodes) 1546937816.732 * * [misc]simplify: iters left: 4 (431 enodes) 1546937817.022 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) 1546937817.022 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937817.022 * * * * [misc]progress: [ 480 / 5901 ] simplifiying candidate # 1546937817.023 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937817.023 * * [misc]simplify: iters left: 6 (52 enodes) 1546937817.035 * * [misc]simplify: iters left: 5 (138 enodes) 1546937817.065 * * [misc]simplify: iters left: 4 (464 enodes) 1546937817.395 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937817.395 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937817.396 * * * * [misc]progress: [ 481 / 5901 ] simplifiying candidate # 1546937817.396 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937817.397 * * [misc]simplify: iters left: 6 (47 enodes) 1546937817.413 * * [misc]simplify: iters left: 5 (124 enodes) 1546937817.459 * * [misc]simplify: iters left: 4 (431 enodes) 1546937817.774 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) 1546937817.774 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937817.774 * * * * [misc]progress: [ 482 / 5901 ] simplifiying candidate # 1546937817.775 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937817.776 * * [misc]simplify: iters left: 6 (52 enodes) 1546937817.801 * * [misc]simplify: iters left: 5 (136 enodes) 1546937817.855 * * [misc]simplify: iters left: 4 (455 enodes) 1546937818.244 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 1546937818.244 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937818.244 * * * * [misc]progress: [ 483 / 5901 ] simplifiying candidate # 1546937818.245 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937818.245 * * [misc]simplify: iters left: 6 (53 enodes) 1546937818.260 * * [misc]simplify: iters left: 5 (143 enodes) 1546937818.289 * * [misc]simplify: iters left: 4 (486 enodes) 1546937818.697 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937818.697 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937818.697 * * * * [misc]progress: [ 484 / 5901 ] simplifiying candidate # 1546937818.698 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937818.699 * * [misc]simplify: iters left: 6 (53 enodes) 1546937818.717 * * [misc]simplify: iters left: 5 (143 enodes) 1546937818.763 * * [misc]simplify: iters left: 4 (484 enodes) 1546937819.146 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) 1546937819.147 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937819.147 * * * * [misc]progress: [ 485 / 5901 ] simplifiying candidate # 1546937819.147 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937819.147 * * [misc]simplify: iters left: 6 (47 enodes) 1546937819.156 * * [misc]simplify: iters left: 5 (123 enodes) 1546937819.187 * * [misc]simplify: iters left: 4 (403 enodes) 1546937819.424 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937819.425 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937819.425 * * * * [misc]progress: [ 486 / 5901 ] simplifiying candidate # 1546937819.425 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937819.426 * * [misc]simplify: iters left: 6 (52 enodes) 1546937819.445 * * [misc]simplify: iters left: 5 (137 enodes) 1546937819.501 * * [misc]simplify: iters left: 4 (427 enodes) 1546937819.836 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 1546937819.836 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937819.836 * * * * [misc]progress: [ 487 / 5901 ] simplifiying candidate # 1546937819.837 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937819.837 * * [misc]simplify: iters left: 6 (47 enodes) 1546937819.852 * * [misc]simplify: iters left: 5 (123 enodes) 1546937819.887 * * [misc]simplify: iters left: 4 (394 enodes) 1546937820.115 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937820.116 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937820.116 * * * * [misc]progress: [ 488 / 5901 ] simplifiying candidate # 1546937820.116 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937820.117 * * [misc]simplify: iters left: 6 (52 enodes) 1546937820.140 * * [misc]simplify: iters left: 5 (137 enodes) 1546937820.191 * * [misc]simplify: iters left: 4 (427 enodes) 1546937820.435 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 1546937820.436 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda2 lambda1) lambda2) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937820.436 * * * * [misc]progress: [ 489 / 5901 ] simplifiying candidate # 1546937820.436 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937820.436 * * [misc]simplify: iters left: 6 (47 enodes) 1546937820.449 * * [misc]simplify: iters left: 5 (123 enodes) 1546937820.489 * * [misc]simplify: iters left: 4 (394 enodes) 1546937820.749 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937820.749 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937820.749 * * * * [misc]progress: [ 490 / 5901 ] simplifiying candidate # 1546937820.750 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937820.750 * * [misc]simplify: iters left: 6 (51 enodes) 1546937820.764 * * [misc]simplify: iters left: 5 (129 enodes) 1546937820.810 * * [misc]simplify: iters left: 4 (446 enodes) 1546937821.139 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) 1546937821.139 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937821.140 * * * * [misc]progress: [ 491 / 5901 ] simplifiying candidate # 1546937821.140 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937821.141 * * [misc]simplify: iters left: 6 (52 enodes) 1546937821.153 * * [misc]simplify: iters left: 5 (136 enodes) 1546937821.184 * * [misc]simplify: iters left: 4 (477 enodes) 1546937821.543 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) 1546937821.543 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937821.544 * * * * [misc]progress: [ 492 / 5901 ] simplifiying candidate # 1546937821.544 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937821.544 * * [misc]simplify: iters left: 6 (52 enodes) 1546937821.553 * * [misc]simplify: iters left: 5 (136 enodes) 1546937821.580 * * [misc]simplify: iters left: 4 (475 enodes) 1546937821.907 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) 1546937821.907 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937821.907 * * * * [misc]progress: [ 493 / 5901 ] simplifiying candidate # 1546937821.907 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937821.908 * * [misc]simplify: iters left: 6 (46 enodes) 1546937821.919 * * [misc]simplify: iters left: 5 (116 enodes) 1546937821.966 * * [misc]simplify: iters left: 4 (394 enodes) 1546937822.233 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) 1546937822.233 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937822.233 * * * * [misc]progress: [ 494 / 5901 ] simplifiying candidate # 1546937822.233 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937822.234 * * [misc]simplify: iters left: 6 (51 enodes) 1546937822.242 * * [misc]simplify: iters left: 5 (130 enodes) 1546937822.280 * * [misc]simplify: iters left: 4 (418 enodes) 1546937822.527 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 1546937822.527 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937822.527 * * * * [misc]progress: [ 495 / 5901 ] simplifiying candidate # 1546937822.528 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937822.528 * * [misc]simplify: iters left: 6 (46 enodes) 1546937822.544 * * [misc]simplify: iters left: 5 (116 enodes) 1546937822.574 * * [misc]simplify: iters left: 4 (385 enodes) 1546937822.784 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))))))) 1546937822.785 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937822.785 * * * * [misc]progress: [ 496 / 5901 ] simplifiying candidate # 1546937822.785 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937822.785 * * [misc]simplify: iters left: 6 (51 enodes) 1546937822.802 * * [misc]simplify: iters left: 5 (130 enodes) 1546937822.851 * * [misc]simplify: iters left: 4 (418 enodes) 1546937823.119 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 1546937823.119 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937823.119 * * * * [misc]progress: [ 497 / 5901 ] simplifiying candidate # 1546937823.119 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937823.119 * * [misc]simplify: iters left: 6 (46 enodes) 1546937823.128 * * [misc]simplify: iters left: 5 (116 enodes) 1546937823.154 * * [misc]simplify: iters left: 4 (385 enodes) 1546937823.477 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937823.477 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937823.477 * * * * [misc]progress: [ 498 / 5901 ] simplifiying candidate # 1546937823.478 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937823.478 * * [misc]simplify: iters left: 6 (50 enodes) 1546937823.500 * * [misc]simplify: iters left: 5 (127 enodes) 1546937823.549 * * [misc]simplify: iters left: 4 (435 enodes) 1546937823.887 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) 1546937823.887 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937823.887 * * * * [misc]progress: [ 499 / 5901 ] simplifiying candidate # 1546937823.887 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937823.888 * * [misc]simplify: iters left: 6 (51 enodes) 1546937823.898 * * [misc]simplify: iters left: 5 (134 enodes) 1546937823.933 * * [misc]simplify: iters left: 4 (466 enodes) 1546937824.343 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) 1546937824.343 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937824.343 * * * * [misc]progress: [ 500 / 5901 ] simplifiying candidate # 1546937824.343 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937824.344 * * [misc]simplify: iters left: 6 (51 enodes) 1546937824.353 * * [misc]simplify: iters left: 5 (134 enodes) 1546937824.383 * * [misc]simplify: iters left: 4 (464 enodes) 1546937824.771 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937824.771 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937824.771 * * * * [misc]progress: [ 501 / 5901 ] simplifiying candidate # 1546937824.772 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937824.772 * * [misc]simplify: iters left: 6 (45 enodes) 1546937824.788 * * [misc]simplify: iters left: 5 (114 enodes) 1546937824.831 * * [misc]simplify: iters left: 4 (383 enodes) 1546937825.110 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) 1546937825.110 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937825.111 * * * * [misc]progress: [ 502 / 5901 ] simplifiying candidate # 1546937825.111 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937825.111 * * [misc]simplify: iters left: 6 (50 enodes) 1546937825.120 * * [misc]simplify: iters left: 5 (128 enodes) 1546937825.151 * * [misc]simplify: iters left: 4 (414 enodes) 1546937825.437 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937825.438 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937825.438 * * * * [misc]progress: [ 503 / 5901 ] simplifiying candidate # 1546937825.438 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937825.438 * * [misc]simplify: iters left: 6 (45 enodes) 1546937825.449 * * [misc]simplify: iters left: 5 (114 enodes) 1546937825.477 * * [misc]simplify: iters left: 4 (381 enodes) 1546937825.748 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) 1546937825.749 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937825.749 * * * * [misc]progress: [ 504 / 5901 ] simplifiying candidate # 1546937825.749 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937825.749 * * [misc]simplify: iters left: 6 (50 enodes) 1546937825.763 * * [misc]simplify: iters left: 5 (128 enodes) 1546937825.787 * * [misc]simplify: iters left: 4 (414 enodes) 1546937826.117 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937826.117 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937826.118 * * * * [misc]progress: [ 505 / 5901 ] simplifiying candidate # 1546937826.118 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937826.118 * * [misc]simplify: iters left: 6 (45 enodes) 1546937826.134 * * [misc]simplify: iters left: 5 (114 enodes) 1546937826.175 * * [misc]simplify: iters left: 4 (381 enodes) 1546937826.465 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) 1546937826.465 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937826.465 * * * * [misc]progress: [ 506 / 5901 ] simplifiying candidate # 1546937826.465 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937826.466 * * [misc]simplify: iters left: 6 (51 enodes) 1546937826.480 * * [misc]simplify: iters left: 5 (129 enodes) 1546937826.506 * * [misc]simplify: iters left: 4 (446 enodes) 1546937826.902 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) 1546937826.902 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937826.902 * * * * [misc]progress: [ 507 / 5901 ] simplifiying candidate # 1546937826.903 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937826.903 * * [misc]simplify: iters left: 6 (52 enodes) 1546937826.921 * * [misc]simplify: iters left: 5 (136 enodes) 1546937826.972 * * [misc]simplify: iters left: 4 (477 enodes) 1546937827.509 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1)))))))) 1546937827.509 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937827.509 * * * * [misc]progress: [ 508 / 5901 ] simplifiying candidate # 1546937827.509 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937827.510 * * [misc]simplify: iters left: 6 (52 enodes) 1546937827.529 * * [misc]simplify: iters left: 5 (136 enodes) 1546937827.559 * * [misc]simplify: iters left: 4 (475 enodes) 1546937827.857 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) 1546937827.857 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937827.858 * * * * [misc]progress: [ 509 / 5901 ] simplifiying candidate # 1546937827.858 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937827.858 * * [misc]simplify: iters left: 6 (46 enodes) 1546937827.866 * * [misc]simplify: iters left: 5 (116 enodes) 1546937827.899 * * [misc]simplify: iters left: 4 (394 enodes) 1546937828.258 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) 1546937828.259 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937828.259 * * * * [misc]progress: [ 510 / 5901 ] simplifiying candidate # 1546937828.259 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937828.260 * * [misc]simplify: iters left: 6 (51 enodes) 1546937828.277 * * [misc]simplify: iters left: 5 (130 enodes) 1546937828.321 * * [misc]simplify: iters left: 4 (418 enodes) 1546937828.559 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 1546937828.559 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937828.559 * * * * [misc]progress: [ 511 / 5901 ] simplifiying candidate # 1546937828.559 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937828.560 * * [misc]simplify: iters left: 6 (46 enodes) 1546937828.568 * * [misc]simplify: iters left: 5 (116 enodes) 1546937828.593 * * [misc]simplify: iters left: 4 (385 enodes) 1546937828.802 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))))))) 1546937828.802 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937828.803 * * * * [misc]progress: [ 512 / 5901 ] simplifiying candidate # 1546937828.803 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937828.804 * * [misc]simplify: iters left: 6 (51 enodes) 1546937828.816 * * [misc]simplify: iters left: 5 (130 enodes) 1546937828.841 * * [misc]simplify: iters left: 4 (418 enodes) 1546937829.140 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 1546937829.140 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937829.140 * * * * [misc]progress: [ 513 / 5901 ] simplifiying candidate # 1546937829.140 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937829.141 * * [misc]simplify: iters left: 6 (46 enodes) 1546937829.152 * * [misc]simplify: iters left: 5 (116 enodes) 1546937829.182 * * [misc]simplify: iters left: 4 (385 enodes) 1546937829.481 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937829.481 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937829.481 * * * * [misc]progress: [ 514 / 5901 ] simplifiying candidate # 1546937829.482 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937829.482 * * [misc]simplify: iters left: 6 (48 enodes) 1546937829.502 * * [misc]simplify: iters left: 5 (122 enodes) 1546937829.526 * * [misc]simplify: iters left: 4 (412 enodes) 1546937829.854 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937829.854 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937829.854 * * * * [misc]progress: [ 515 / 5901 ] simplifiying candidate # 1546937829.854 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937829.854 * * [misc]simplify: iters left: 6 (49 enodes) 1546937829.863 * * [misc]simplify: iters left: 5 (129 enodes) 1546937829.892 * * [misc]simplify: iters left: 4 (443 enodes) 1546937830.274 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) 1546937830.274 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937830.274 * * * * [misc]progress: [ 516 / 5901 ] simplifiying candidate # 1546937830.274 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937830.275 * * [misc]simplify: iters left: 6 (49 enodes) 1546937830.284 * * [misc]simplify: iters left: 5 (129 enodes) 1546937830.312 * * [misc]simplify: iters left: 4 (441 enodes) 1546937830.719 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) 1546937830.719 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937830.719 * * * * [misc]progress: [ 517 / 5901 ] simplifiying candidate # 1546937830.719 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937830.720 * * [misc]simplify: iters left: 6 (43 enodes) 1546937830.729 * * [misc]simplify: iters left: 5 (109 enodes) 1546937830.753 * * [misc]simplify: iters left: 4 (360 enodes) 1546937831.044 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) 1546937831.044 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ phi2 phi1)))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937831.044 * * * * [misc]progress: [ 518 / 5901 ] simplifiying candidate # 1546937831.044 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937831.045 * * [misc]simplify: iters left: 6 (48 enodes) 1546937831.062 * * [misc]simplify: iters left: 5 (123 enodes) 1546937831.091 * * [misc]simplify: iters left: 4 (384 enodes) 1546937831.293 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))))) 1546937831.293 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937831.293 * * * * [misc]progress: [ 519 / 5901 ] simplifiying candidate # 1546937831.293 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937831.293 * * [misc]simplify: iters left: 6 (43 enodes) 1546937831.306 * * [misc]simplify: iters left: 5 (109 enodes) 1546937831.346 * * [misc]simplify: iters left: 4 (351 enodes) 1546937831.547 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937831.548 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937831.548 * * * * [misc]progress: [ 520 / 5901 ] simplifiying candidate # 1546937831.548 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937831.548 * * [misc]simplify: iters left: 6 (48 enodes) 1546937831.562 * * [misc]simplify: iters left: 5 (123 enodes) 1546937831.607 * * [misc]simplify: iters left: 4 (384 enodes) 1546937831.856 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))))))) 1546937831.856 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937831.856 * * * * [misc]progress: [ 521 / 5901 ] simplifiying candidate # 1546937831.856 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937831.857 * * [misc]simplify: iters left: 6 (43 enodes) 1546937831.868 * * [misc]simplify: iters left: 5 (109 enodes) 1546937831.888 * * [misc]simplify: iters left: 4 (351 enodes) 1546937832.099 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937832.099 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937832.099 * * * * [misc]progress: [ 522 / 5901 ] simplifiying candidate # 1546937832.100 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937832.100 * * [misc]simplify: iters left: 6 (47 enodes) 1546937832.117 * * [misc]simplify: iters left: 5 (126 enodes) 1546937832.154 * * [misc]simplify: iters left: 4 (444 enodes) 1546937832.557 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937832.557 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937832.557 * * * * [misc]progress: [ 523 / 5901 ] simplifiying candidate # 1546937832.558 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937832.559 * * [misc]simplify: iters left: 6 (48 enodes) 1546937832.580 * * [misc]simplify: iters left: 5 (133 enodes) 1546937832.608 * * [misc]simplify: iters left: 4 (475 enodes) 1546937833.055 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) 1546937833.055 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937833.056 * * * * [misc]progress: [ 524 / 5901 ] simplifiying candidate # 1546937833.056 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937833.056 * * [misc]simplify: iters left: 6 (48 enodes) 1546937833.065 * * [misc]simplify: iters left: 5 (133 enodes) 1546937833.091 * * [misc]simplify: iters left: 4 (473 enodes) 1546937833.448 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) 1546937833.449 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937833.449 * * * * [misc]progress: [ 525 / 5901 ] simplifiying candidate # 1546937833.449 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937833.449 * * [misc]simplify: iters left: 6 (42 enodes) 1546937833.457 * * [misc]simplify: iters left: 5 (113 enodes) 1546937833.482 * * [misc]simplify: iters left: 4 (392 enodes) 1546937833.724 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) 1546937833.724 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937833.724 * * * * [misc]progress: [ 526 / 5901 ] simplifiying candidate # 1546937833.724 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937833.725 * * [misc]simplify: iters left: 6 (47 enodes) 1546937833.735 * * [misc]simplify: iters left: 5 (127 enodes) 1546937833.786 * * [misc]simplify: iters left: 4 (416 enodes) 1546937834.142 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937834.142 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937834.143 * * * * [misc]progress: [ 527 / 5901 ] simplifiying candidate # 1546937834.143 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937834.144 * * [misc]simplify: iters left: 6 (42 enodes) 1546937834.158 * * [misc]simplify: iters left: 5 (113 enodes) 1546937834.198 * * [misc]simplify: iters left: 4 (383 enodes) 1546937834.386 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937834.386 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937834.386 * * * * [misc]progress: [ 528 / 5901 ] simplifiying candidate # 1546937834.387 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937834.387 * * [misc]simplify: iters left: 6 (47 enodes) 1546937834.405 * * [misc]simplify: iters left: 5 (127 enodes) 1546937834.432 * * [misc]simplify: iters left: 4 (416 enodes) 1546937834.684 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937834.684 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937834.684 * * * * [misc]progress: [ 529 / 5901 ] simplifiying candidate # 1546937834.684 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937834.685 * * [misc]simplify: iters left: 6 (42 enodes) 1546937834.692 * * [misc]simplify: iters left: 5 (113 enodes) 1546937834.735 * * [misc]simplify: iters left: 4 (383 enodes) 1546937834.945 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937834.945 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937834.945 * * * * [misc]progress: [ 530 / 5901 ] simplifiying candidate # 1546937834.946 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937834.946 * * [misc]simplify: iters left: 6 (47 enodes) 1546937834.955 * * [misc]simplify: iters left: 5 (122 enodes) 1546937834.990 * * [misc]simplify: iters left: 4 (430 enodes) 1546937835.992 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937835.992 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937835.992 * * * * [misc]progress: [ 531 / 5901 ] simplifiying candidate # 1546937835.992 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937835.992 * * [misc]simplify: iters left: 6 (48 enodes) 1546937836.004 * * [misc]simplify: iters left: 5 (129 enodes) 1546937836.036 * * [misc]simplify: iters left: 4 (461 enodes) 1546937836.370 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) 1546937836.370 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937836.370 * * * * [misc]progress: [ 532 / 5901 ] simplifiying candidate # 1546937836.370 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937836.370 * * [misc]simplify: iters left: 6 (48 enodes) 1546937836.379 * * [misc]simplify: iters left: 5 (129 enodes) 1546937836.411 * * [misc]simplify: iters left: 4 (459 enodes) 1546937836.757 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 1546937836.757 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937836.757 * * * * [misc]progress: [ 533 / 5901 ] simplifiying candidate # 1546937836.757 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937836.757 * * [misc]simplify: iters left: 6 (42 enodes) 1546937836.765 * * [misc]simplify: iters left: 5 (110 enodes) 1546937836.808 * * [misc]simplify: iters left: 4 (380 enodes) 1546937837.061 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 1546937837.061 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937837.062 * * * * [misc]progress: [ 534 / 5901 ] simplifiying candidate # 1546937837.062 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937837.063 * * [misc]simplify: iters left: 6 (47 enodes) 1546937837.071 * * [misc]simplify: iters left: 5 (124 enodes) 1546937837.095 * * [misc]simplify: iters left: 4 (398 enodes) 1546937837.265 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937837.265 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937837.265 * * * * [misc]progress: [ 535 / 5901 ] simplifiying candidate # 1546937837.266 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937837.266 * * [misc]simplify: iters left: 6 (42 enodes) 1546937837.274 * * [misc]simplify: iters left: 5 (111 enodes) 1546937837.300 * * [misc]simplify: iters left: 4 (367 enodes) 1546937837.528 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1))))) 1546937837.528 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937837.528 * * * * [misc]progress: [ 536 / 5901 ] simplifiying candidate # 1546937837.529 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937837.529 * * [misc]simplify: iters left: 6 (47 enodes) 1546937837.551 * * [misc]simplify: iters left: 5 (124 enodes) 1546937837.596 * * [misc]simplify: iters left: 4 (398 enodes) 1546937837.888 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937837.888 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937837.888 * * * * [misc]progress: [ 537 / 5901 ] simplifiying candidate # 1546937837.888 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937837.889 * * [misc]simplify: iters left: 6 (42 enodes) 1546937837.901 * * [misc]simplify: iters left: 5 (111 enodes) 1546937837.941 * * [misc]simplify: iters left: 4 (367 enodes) 1546937838.145 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) 1546937838.145 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937838.145 * * * * [misc]progress: [ 538 / 5901 ] simplifiying candidate # 1546937838.146 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937838.146 * * [misc]simplify: iters left: 6 (51 enodes) 1546937838.156 * * [misc]simplify: iters left: 5 (135 enodes) 1546937838.192 * * [misc]simplify: iters left: 4 (462 enodes) 1546937838.570 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937838.570 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937838.571 * * * * [misc]progress: [ 539 / 5901 ] simplifiying candidate # 1546937838.571 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937838.571 * * [misc]simplify: iters left: 6 (52 enodes) 1546937838.591 * * [misc]simplify: iters left: 5 (142 enodes) 1546937838.619 * * [misc]simplify: iters left: 4 (493 enodes) 1546937838.979 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937838.980 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937838.980 * * * * [misc]progress: [ 540 / 5901 ] simplifiying candidate # 1546937838.980 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937838.980 * * [misc]simplify: iters left: 6 (52 enodes) 1546937838.990 * * [misc]simplify: iters left: 5 (142 enodes) 1546937839.042 * * [misc]simplify: iters left: 4 (491 enodes) 1546937839.414 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) 1546937839.414 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937839.414 * * * * [misc]progress: [ 541 / 5901 ] simplifiying candidate # 1546937839.415 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937839.415 * * [misc]simplify: iters left: 6 (46 enodes) 1546937839.427 * * [misc]simplify: iters left: 5 (124 enodes) 1546937839.475 * * [misc]simplify: iters left: 4 (415 enodes) 1546937839.716 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937839.716 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937839.716 * * * * [misc]progress: [ 542 / 5901 ] simplifiying candidate # 1546937839.717 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937839.717 * * [misc]simplify: iters left: 6 (51 enodes) 1546937839.731 * * [misc]simplify: iters left: 5 (137 enodes) 1546937839.766 * * [misc]simplify: iters left: 4 (431 enodes) 1546937840.059 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937840.059 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937840.059 * * * * [misc]progress: [ 543 / 5901 ] simplifiying candidate # 1546937840.060 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937840.060 * * [misc]simplify: iters left: 6 (46 enodes) 1546937840.074 * * [misc]simplify: iters left: 5 (123 enodes) 1546937840.098 * * [misc]simplify: iters left: 4 (405 enodes) 1546937840.427 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937840.427 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937840.427 * * * * [misc]progress: [ 544 / 5901 ] simplifiying candidate # 1546937840.428 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937840.428 * * [misc]simplify: iters left: 6 (51 enodes) 1546937840.443 * * [misc]simplify: iters left: 5 (137 enodes) 1546937840.471 * * [misc]simplify: iters left: 4 (431 enodes) 1546937840.716 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937840.716 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937840.716 * * * * [misc]progress: [ 545 / 5901 ] simplifiying candidate # 1546937840.716 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937840.717 * * [misc]simplify: iters left: 6 (46 enodes) 1546937840.728 * * [misc]simplify: iters left: 5 (123 enodes) 1546937840.752 * * [misc]simplify: iters left: 4 (405 enodes) 1546937841.012 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937841.012 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937841.013 * * * * [misc]progress: [ 546 / 5901 ] simplifiying candidate # 1546937841.013 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937841.013 * * [misc]simplify: iters left: 6 (51 enodes) 1546937841.022 * * [misc]simplify: iters left: 5 (139 enodes) 1546937841.059 * * [misc]simplify: iters left: 4 (486 enodes) 1546937841.499 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937841.499 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937841.499 * * * * [misc]progress: [ 547 / 5901 ] simplifiying candidate # 1546937841.499 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937841.500 * * [misc]simplify: iters left: 6 (52 enodes) 1546937841.516 * * [misc]simplify: iters left: 5 (146 enodes) 1546937841.578 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937841.578 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937841.578 * * * * [misc]progress: [ 548 / 5901 ] simplifiying candidate # 1546937841.579 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937841.580 * * [misc]simplify: iters left: 6 (52 enodes) 1546937841.599 * * [misc]simplify: iters left: 5 (146 enodes) 1546937841.677 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937841.677 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937841.678 * * * * [misc]progress: [ 549 / 5901 ] simplifiying candidate # 1546937841.678 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937841.678 * * [misc]simplify: iters left: 6 (46 enodes) 1546937841.687 * * [misc]simplify: iters left: 5 (126 enodes) 1546937841.719 * * [misc]simplify: iters left: 4 (434 enodes) 1546937842.045 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937842.045 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937842.045 * * * * [misc]progress: [ 550 / 5901 ] simplifiying candidate # 1546937842.046 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937842.046 * * [misc]simplify: iters left: 6 (51 enodes) 1546937842.064 * * [misc]simplify: iters left: 5 (140 enodes) 1546937842.103 * * [misc]simplify: iters left: 4 (458 enodes) 1546937842.407 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937842.407 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937842.408 * * * * [misc]progress: [ 551 / 5901 ] simplifiying candidate # 1546937842.408 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937842.409 * * [misc]simplify: iters left: 6 (46 enodes) 1546937842.423 * * [misc]simplify: iters left: 5 (126 enodes) 1546937842.470 * * [misc]simplify: iters left: 4 (425 enodes) 1546937842.731 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937842.731 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937842.731 * * * * [misc]progress: [ 552 / 5901 ] simplifiying candidate # 1546937842.732 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937842.732 * * [misc]simplify: iters left: 6 (51 enodes) 1546937842.755 * * [misc]simplify: iters left: 5 (140 enodes) 1546937842.787 * * [misc]simplify: iters left: 4 (458 enodes) 1546937843.086 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937843.086 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937843.087 * * * * [misc]progress: [ 553 / 5901 ] simplifiying candidate # 1546937843.087 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937843.088 * * [misc]simplify: iters left: 6 (46 enodes) 1546937843.096 * * [misc]simplify: iters left: 5 (126 enodes) 1546937843.124 * * [misc]simplify: iters left: 4 (425 enodes) 1546937843.405 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937843.405 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937843.406 * * * * [misc]progress: [ 554 / 5901 ] simplifiying candidate # 1546937843.406 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937843.407 * * [misc]simplify: iters left: 6 (52 enodes) 1546937843.425 * * [misc]simplify: iters left: 5 (137 enodes) 1546937843.473 * * [misc]simplify: iters left: 4 (494 enodes) 1546937843.841 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) 1546937843.841 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937843.841 * * * * [misc]progress: [ 555 / 5901 ] simplifiying candidate # 1546937843.842 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937843.842 * * [misc]simplify: iters left: 6 (53 enodes) 1546937843.866 * * [misc]simplify: iters left: 5 (144 enodes) 1546937843.942 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937843.942 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937843.942 * * * * [misc]progress: [ 556 / 5901 ] simplifiying candidate # 1546937843.942 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937843.943 * * [misc]simplify: iters left: 6 (53 enodes) 1546937843.961 * * [misc]simplify: iters left: 5 (144 enodes) 1546937844.036 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937844.037 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937844.037 * * * * [misc]progress: [ 557 / 5901 ] simplifiying candidate # 1546937844.037 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937844.037 * * [misc]simplify: iters left: 6 (47 enodes) 1546937844.046 * * [misc]simplify: iters left: 5 (124 enodes) 1546937844.071 * * [misc]simplify: iters left: 4 (442 enodes) 1546937844.434 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937844.434 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937844.434 * * * * [misc]progress: [ 558 / 5901 ] simplifiying candidate # 1546937844.435 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937844.441 * * [misc]simplify: iters left: 6 (52 enodes) 1546937844.459 * * [misc]simplify: iters left: 5 (138 enodes) 1546937844.494 * * [misc]simplify: iters left: 4 (466 enodes) 1546937844.769 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937844.769 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937844.769 * * * * [misc]progress: [ 559 / 5901 ] simplifiying candidate # 1546937844.770 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937844.770 * * [misc]simplify: iters left: 6 (47 enodes) 1546937844.778 * * [misc]simplify: iters left: 5 (124 enodes) 1546937844.806 * * [misc]simplify: iters left: 4 (433 enodes) 1546937845.067 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1))))) 1546937845.067 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937845.067 * * * * [misc]progress: [ 560 / 5901 ] simplifiying candidate # 1546937845.067 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937845.068 * * [misc]simplify: iters left: 6 (52 enodes) 1546937845.077 * * [misc]simplify: iters left: 5 (138 enodes) 1546937845.104 * * [misc]simplify: iters left: 4 (466 enodes) 1546937845.363 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937845.363 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937845.363 * * * * [misc]progress: [ 561 / 5901 ] simplifiying candidate # 1546937845.364 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937845.364 * * [misc]simplify: iters left: 6 (47 enodes) 1546937845.372 * * [misc]simplify: iters left: 5 (124 enodes) 1546937845.397 * * [misc]simplify: iters left: 4 (433 enodes) 1546937845.683 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1))))) 1546937845.683 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937845.684 * * * * [misc]progress: [ 562 / 5901 ] simplifiying candidate # 1546937845.684 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937845.684 * * [misc]simplify: iters left: 6 (52 enodes) 1546937845.694 * * [misc]simplify: iters left: 5 (137 enodes) 1546937845.744 * * [misc]simplify: iters left: 4 (496 enodes) 1546937846.119 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))))))) 1546937846.120 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937846.120 * * * * [misc]progress: [ 563 / 5901 ] simplifiying candidate # 1546937846.120 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937846.120 * * [misc]simplify: iters left: 6 (53 enodes) 1546937846.130 * * [misc]simplify: iters left: 5 (144 enodes) 1546937846.184 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937846.184 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937846.184 * * * * [misc]progress: [ 564 / 5901 ] simplifiying candidate # 1546937846.184 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937846.185 * * [misc]simplify: iters left: 6 (53 enodes) 1546937846.196 * * [misc]simplify: iters left: 5 (144 enodes) 1546937846.238 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937846.238 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937846.238 * * * * [misc]progress: [ 565 / 5901 ] simplifiying candidate # 1546937846.239 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937846.239 * * [misc]simplify: iters left: 6 (47 enodes) 1546937846.247 * * [misc]simplify: iters left: 5 (124 enodes) 1546937846.287 * * [misc]simplify: iters left: 4 (444 enodes) 1546937846.618 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937846.618 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937846.618 * * * * [misc]progress: [ 566 / 5901 ] simplifiying candidate # 1546937846.619 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937846.619 * * [misc]simplify: iters left: 6 (52 enodes) 1546937846.632 * * [misc]simplify: iters left: 5 (138 enodes) 1546937846.659 * * [misc]simplify: iters left: 4 (468 enodes) 1546937846.992 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937846.992 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937846.992 * * * * [misc]progress: [ 567 / 5901 ] simplifiying candidate # 1546937846.992 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937846.992 * * [misc]simplify: iters left: 6 (47 enodes) 1546937847.001 * * [misc]simplify: iters left: 5 (124 enodes) 1546937847.029 * * [misc]simplify: iters left: 4 (435 enodes) 1546937847.322 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1))))) 1546937847.322 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937847.322 * * * * [misc]progress: [ 568 / 5901 ] simplifiying candidate # 1546937847.323 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937847.323 * * [misc]simplify: iters left: 6 (52 enodes) 1546937847.332 * * [misc]simplify: iters left: 5 (138 enodes) 1546937847.365 * * [misc]simplify: iters left: 4 (468 enodes) 1546937847.655 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937847.655 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937847.656 * * * * [misc]progress: [ 569 / 5901 ] simplifiying candidate # 1546937847.656 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937847.656 * * [misc]simplify: iters left: 6 (47 enodes) 1546937847.669 * * [misc]simplify: iters left: 5 (124 enodes) 1546937847.716 * * [misc]simplify: iters left: 4 (435 enodes) 1546937848.037 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937848.037 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937848.037 * * * * [misc]progress: [ 570 / 5901 ] simplifiying candidate # 1546937848.037 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937848.038 * * [misc]simplify: iters left: 6 (52 enodes) 1546937848.047 * * [misc]simplify: iters left: 5 (138 enodes) 1546937848.093 * * [misc]simplify: iters left: 4 (495 enodes) 1546937848.472 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) 1546937848.472 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937848.472 * * * * [misc]progress: [ 571 / 5901 ] simplifiying candidate # 1546937848.472 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937848.472 * * [misc]simplify: iters left: 6 (53 enodes) 1546937848.482 * * [misc]simplify: iters left: 5 (145 enodes) 1546937848.554 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937848.554 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937848.555 * * * * [misc]progress: [ 572 / 5901 ] simplifiying candidate # 1546937848.555 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937848.556 * * [misc]simplify: iters left: 6 (53 enodes) 1546937848.574 * * [misc]simplify: iters left: 5 (145 enodes) 1546937848.656 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937848.656 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937848.656 * * * * [misc]progress: [ 573 / 5901 ] simplifiying candidate # 1546937848.656 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937848.657 * * [misc]simplify: iters left: 6 (47 enodes) 1546937848.674 * * [misc]simplify: iters left: 5 (125 enodes) 1546937848.715 * * [misc]simplify: iters left: 4 (443 enodes) 1546937849.003 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937849.003 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937849.003 * * * * [misc]progress: [ 574 / 5901 ] simplifiying candidate # 1546937849.003 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937849.004 * * [misc]simplify: iters left: 6 (52 enodes) 1546937849.016 * * [misc]simplify: iters left: 5 (139 enodes) 1546937849.043 * * [misc]simplify: iters left: 4 (467 enodes) 1546937849.416 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937849.417 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937849.417 * * * * [misc]progress: [ 575 / 5901 ] simplifiying candidate # 1546937849.417 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937849.418 * * [misc]simplify: iters left: 6 (47 enodes) 1546937849.433 * * [misc]simplify: iters left: 5 (125 enodes) 1546937849.490 * * [misc]simplify: iters left: 4 (434 enodes) 1546937849.796 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937849.796 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937849.796 * * * * [misc]progress: [ 576 / 5901 ] simplifiying candidate # 1546937849.797 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937849.797 * * [misc]simplify: iters left: 6 (52 enodes) 1546937849.806 * * [misc]simplify: iters left: 5 (139 enodes) 1546937849.835 * * [misc]simplify: iters left: 4 (467 enodes) 1546937850.113 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937850.113 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937850.114 * * * * [misc]progress: [ 577 / 5901 ] simplifiying candidate # 1546937850.114 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937850.114 * * [misc]simplify: iters left: 6 (47 enodes) 1546937850.122 * * [misc]simplify: iters left: 5 (125 enodes) 1546937850.167 * * [misc]simplify: iters left: 4 (434 enodes) 1546937850.448 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937850.448 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937850.448 * * * * [misc]progress: [ 578 / 5901 ] simplifiying candidate # 1546937850.449 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937850.449 * * [misc]simplify: iters left: 6 (52 enodes) 1546937850.465 * * [misc]simplify: iters left: 5 (138 enodes) 1546937850.524 * * [misc]simplify: iters left: 4 (497 enodes) 1546937850.967 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))))) 1546937850.967 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937850.967 * * * * [misc]progress: [ 579 / 5901 ] simplifiying candidate # 1546937850.967 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937850.968 * * [misc]simplify: iters left: 6 (53 enodes) 1546937850.980 * * [misc]simplify: iters left: 5 (145 enodes) 1546937851.059 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937851.059 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937851.059 * * * * [misc]progress: [ 580 / 5901 ] simplifiying candidate # 1546937851.060 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937851.060 * * [misc]simplify: iters left: 6 (53 enodes) 1546937851.079 * * [misc]simplify: iters left: 5 (145 enodes) 1546937851.156 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937851.156 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937851.156 * * * * [misc]progress: [ 581 / 5901 ] simplifiying candidate # 1546937851.157 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937851.157 * * [misc]simplify: iters left: 6 (47 enodes) 1546937851.176 * * [misc]simplify: iters left: 5 (125 enodes) 1546937851.223 * * [misc]simplify: iters left: 4 (445 enodes) 1546937851.600 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937851.600 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937851.601 * * * * [misc]progress: [ 582 / 5901 ] simplifiying candidate # 1546937851.601 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937851.602 * * [misc]simplify: iters left: 6 (52 enodes) 1546937851.621 * * [misc]simplify: iters left: 5 (139 enodes) 1546937851.664 * * [misc]simplify: iters left: 4 (469 enodes) 1546937851.950 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937851.950 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937851.950 * * * * [misc]progress: [ 583 / 5901 ] simplifiying candidate # 1546937851.950 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937851.951 * * [misc]simplify: iters left: 6 (47 enodes) 1546937851.959 * * [misc]simplify: iters left: 5 (125 enodes) 1546937851.989 * * [misc]simplify: iters left: 4 (436 enodes) 1546937852.314 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937852.314 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937852.314 * * * * [misc]progress: [ 584 / 5901 ] simplifiying candidate # 1546937852.314 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937852.315 * * [misc]simplify: iters left: 6 (52 enodes) 1546937852.334 * * [misc]simplify: iters left: 5 (139 enodes) 1546937852.387 * * [misc]simplify: iters left: 4 (469 enodes) 1546937852.717 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937852.717 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937852.717 * * * * [misc]progress: [ 585 / 5901 ] simplifiying candidate # 1546937852.718 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937852.718 * * [misc]simplify: iters left: 6 (47 enodes) 1546937852.734 * * [misc]simplify: iters left: 5 (125 enodes) 1546937852.771 * * [misc]simplify: iters left: 4 (436 enodes) 1546937853.063 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937853.063 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937853.063 * * * * [misc]progress: [ 586 / 5901 ] simplifiying candidate # 1546937853.064 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937853.064 * * [misc]simplify: iters left: 6 (47 enodes) 1546937853.073 * * [misc]simplify: iters left: 5 (124 enodes) 1546937853.116 * * [misc]simplify: iters left: 4 (440 enodes) 1546937853.500 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937853.501 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937853.501 * * * * [misc]progress: [ 587 / 5901 ] simplifiying candidate # 1546937853.501 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937853.502 * * [misc]simplify: iters left: 6 (48 enodes) 1546937853.518 * * [misc]simplify: iters left: 5 (131 enodes) 1546937853.555 * * [misc]simplify: iters left: 4 (471 enodes) 1546937853.910 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) 1546937853.910 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937853.911 * * * * [misc]progress: [ 588 / 5901 ] simplifiying candidate # 1546937853.911 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937853.912 * * [misc]simplify: iters left: 6 (48 enodes) 1546937853.927 * * [misc]simplify: iters left: 5 (131 enodes) 1546937853.968 * * [misc]simplify: iters left: 4 (469 enodes) 1546937854.389 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) 1546937854.389 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937854.389 * * * * [misc]progress: [ 589 / 5901 ] simplifiying candidate # 1546937854.390 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937854.390 * * [misc]simplify: iters left: 6 (42 enodes) 1546937854.405 * * [misc]simplify: iters left: 5 (111 enodes) 1546937854.449 * * [misc]simplify: iters left: 4 (388 enodes) 1546937854.713 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) 1546937854.713 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937854.713 * * * * [misc]progress: [ 590 / 5901 ] simplifiying candidate # 1546937854.713 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937854.713 * * [misc]simplify: iters left: 6 (47 enodes) 1546937854.722 * * [misc]simplify: iters left: 5 (125 enodes) 1546937854.749 * * [misc]simplify: iters left: 4 (412 enodes) 1546937855.012 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937855.012 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937855.012 * * * * [misc]progress: [ 591 / 5901 ] simplifiying candidate # 1546937855.012 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937855.013 * * [misc]simplify: iters left: 6 (42 enodes) 1546937855.028 * * [misc]simplify: iters left: 5 (111 enodes) 1546937855.073 * * [misc]simplify: iters left: 4 (379 enodes) 1546937855.304 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937855.304 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937855.304 * * * * [misc]progress: [ 592 / 5901 ] simplifiying candidate # 1546937855.304 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937855.305 * * [misc]simplify: iters left: 6 (47 enodes) 1546937855.313 * * [misc]simplify: iters left: 5 (125 enodes) 1546937855.341 * * [misc]simplify: iters left: 4 (412 enodes) 1546937855.620 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937855.620 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937855.620 * * * * [misc]progress: [ 593 / 5901 ] simplifiying candidate # 1546937855.620 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937855.621 * * [misc]simplify: iters left: 6 (42 enodes) 1546937855.636 * * [misc]simplify: iters left: 5 (111 enodes) 1546937855.684 * * [misc]simplify: iters left: 4 (379 enodes) 1546937855.951 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) 1546937855.951 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937855.951 * * * * [misc]progress: [ 594 / 5901 ] simplifiying candidate # 1546937855.952 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937855.952 * * [misc]simplify: iters left: 6 (43 enodes) 1546937855.968 * * [misc]simplify: iters left: 5 (106 enodes) 1546937856.014 * * [misc]simplify: iters left: 4 (360 enodes) 1546937856.270 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) 1546937856.270 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937856.271 * * * * [misc]progress: [ 595 / 5901 ] simplifiying candidate # 1546937856.271 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937856.272 * * [misc]simplify: iters left: 6 (44 enodes) 1546937856.291 * * [misc]simplify: iters left: 5 (113 enodes) 1546937856.334 * * [misc]simplify: iters left: 4 (391 enodes) 1546937856.638 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) 1546937856.638 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937856.638 * * * * [misc]progress: [ 596 / 5901 ] simplifiying candidate # 1546937856.639 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937856.639 * * [misc]simplify: iters left: 6 (44 enodes) 1546937856.655 * * [misc]simplify: iters left: 5 (113 enodes) 1546937856.679 * * [misc]simplify: iters left: 4 (389 enodes) 1546937856.909 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) 1546937856.910 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937856.910 * * * * [misc]progress: [ 597 / 5901 ] simplifiying candidate # 1546937856.910 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937856.911 * * [misc]simplify: iters left: 6 (38 enodes) 1546937856.924 * * [misc]simplify: iters left: 5 (93 enodes) 1546937856.960 * * [misc]simplify: iters left: 4 (308 enodes) 1546937857.145 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) 1546937857.145 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937857.145 * * * * [misc]progress: [ 598 / 5901 ] simplifiying candidate # 1546937857.146 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937857.146 * * [misc]simplify: iters left: 6 (43 enodes) 1546937857.161 * * [misc]simplify: iters left: 5 (107 enodes) 1546937857.205 * * [misc]simplify: iters left: 4 (326 enodes) 1546937857.363 * [exit]simplify: Simplified to (sqrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) 1546937857.363 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937857.363 * * * * [misc]progress: [ 599 / 5901 ] simplifiying candidate # 1546937857.363 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937857.364 * * [misc]simplify: iters left: 6 (38 enodes) 1546937857.373 * * [misc]simplify: iters left: 5 (93 enodes) 1546937857.407 * * [misc]simplify: iters left: 4 (293 enodes) 1546937857.600 * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) 1546937857.600 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937857.600 * * * * [misc]progress: [ 600 / 5901 ] simplifiying candidate # 1546937857.600 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937857.600 * * [misc]simplify: iters left: 6 (43 enodes) 1546937857.612 * * [misc]simplify: iters left: 5 (107 enodes) 1546937857.642 * * [misc]simplify: iters left: 4 (326 enodes) 1546937857.855 * [exit]simplify: Simplified to (sqrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) 1546937857.855 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937857.856 * * * * [misc]progress: [ 601 / 5901 ] simplifiying candidate # 1546937857.856 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937857.857 * * [misc]simplify: iters left: 6 (38 enodes) 1546937857.865 * * [misc]simplify: iters left: 5 (93 enodes) 1546937857.885 * * [misc]simplify: iters left: 4 (293 enodes) 1546937858.032 * [exit]simplify: Simplified to (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) 1546937858.032 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937858.032 * * * * [misc]progress: [ 602 / 5901 ] simplifiying candidate # 1546937858.033 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937858.033 * * [misc]simplify: iters left: 6 (47 enodes) 1546937858.042 * * [misc]simplify: iters left: 5 (122 enodes) 1546937858.069 * * [misc]simplify: iters left: 4 (412 enodes) 1546937858.434 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937858.434 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937858.434 * * * * [misc]progress: [ 603 / 5901 ] simplifiying candidate # 1546937858.434 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937858.435 * * [misc]simplify: iters left: 6 (48 enodes) 1546937858.443 * * [misc]simplify: iters left: 5 (129 enodes) 1546937858.470 * * [misc]simplify: iters left: 4 (443 enodes) 1546937858.813 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 1546937858.813 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937858.813 * * * * [misc]progress: [ 604 / 5901 ] simplifiying candidate # 1546937858.813 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937858.813 * * [misc]simplify: iters left: 6 (48 enodes) 1546937858.822 * * [misc]simplify: iters left: 5 (129 enodes) 1546937858.856 * * [misc]simplify: iters left: 4 (441 enodes) 1546937859.162 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 1546937859.162 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937859.162 * * * * [misc]progress: [ 605 / 5901 ] simplifiying candidate # 1546937859.162 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937859.163 * * [misc]simplify: iters left: 6 (42 enodes) 1546937859.182 * * [misc]simplify: iters left: 5 (109 enodes) 1546937859.222 * * [misc]simplify: iters left: 4 (353 enodes) 1546937859.447 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) 1546937859.447 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937859.448 * * * * [misc]progress: [ 606 / 5901 ] simplifiying candidate # 1546937859.448 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937859.448 * * [misc]simplify: iters left: 6 (47 enodes) 1546937859.457 * * [misc]simplify: iters left: 5 (123 enodes) 1546937859.499 * * [misc]simplify: iters left: 4 (382 enodes) 1546937860.396 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937860.396 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937860.396 * * * * [misc]progress: [ 607 / 5901 ] simplifiying candidate # 1546937860.397 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937860.397 * * [misc]simplify: iters left: 6 (42 enodes) 1546937860.405 * * [misc]simplify: iters left: 5 (110 enodes) 1546937860.440 * * [misc]simplify: iters left: 4 (341 enodes) 1546937860.646 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (+ phi2 phi1) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) 1546937860.646 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (+ phi2 phi1) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937860.646 * * * * [misc]progress: [ 608 / 5901 ] simplifiying candidate # 1546937860.646 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937860.647 * * [misc]simplify: iters left: 6 (47 enodes) 1546937860.663 * * [misc]simplify: iters left: 5 (123 enodes) 1546937860.690 * * [misc]simplify: iters left: 4 (382 enodes) 1546937860.932 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937860.932 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937860.932 * * * * [misc]progress: [ 609 / 5901 ] simplifiying candidate # 1546937860.932 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937860.932 * * [misc]simplify: iters left: 6 (42 enodes) 1546937860.943 * * [misc]simplify: iters left: 5 (110 enodes) 1546937860.964 * * [misc]simplify: iters left: 4 (341 enodes) 1546937861.174 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (+ phi2 phi1) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) 1546937861.174 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (+ phi2 phi1) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937861.174 * * * * [misc]progress: [ 610 / 5901 ] simplifiying candidate # 1546937861.174 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937861.175 * * [misc]simplify: iters left: 6 (47 enodes) 1546937861.189 * * [misc]simplify: iters left: 5 (123 enodes) 1546937861.214 * * [misc]simplify: iters left: 4 (408 enodes) 1546937861.575 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) 1546937861.575 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937861.575 * * * * [misc]progress: [ 611 / 5901 ] simplifiying candidate # 1546937861.576 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937861.576 * * [misc]simplify: iters left: 6 (48 enodes) 1546937861.585 * * [misc]simplify: iters left: 5 (130 enodes) 1546937861.610 * * [misc]simplify: iters left: 4 (439 enodes) 1546937862.018 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))))) 1546937862.018 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937862.018 * * * * [misc]progress: [ 612 / 5901 ] simplifiying candidate # 1546937862.018 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937862.018 * * [misc]simplify: iters left: 6 (48 enodes) 1546937862.027 * * [misc]simplify: iters left: 5 (130 enodes) 1546937862.052 * * [misc]simplify: iters left: 4 (437 enodes) 1546937862.317 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))))) 1546937862.317 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937862.317 * * * * [misc]progress: [ 613 / 5901 ] simplifiying candidate # 1546937862.317 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937862.318 * * [misc]simplify: iters left: 6 (42 enodes) 1546937862.333 * * [misc]simplify: iters left: 5 (110 enodes) 1546937862.375 * * [misc]simplify: iters left: 4 (356 enodes) 1546937862.626 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) 1546937862.626 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937862.626 * * * * [misc]progress: [ 614 / 5901 ] simplifiying candidate # 1546937862.627 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937862.627 * * [misc]simplify: iters left: 6 (47 enodes) 1546937862.644 * * [misc]simplify: iters left: 5 (124 enodes) 1546937862.683 * * [misc]simplify: iters left: 4 (380 enodes) 1546937862.922 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937862.922 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937862.922 * * * * [misc]progress: [ 615 / 5901 ] simplifiying candidate # 1546937862.923 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937862.923 * * [misc]simplify: iters left: 6 (42 enodes) 1546937862.930 * * [misc]simplify: iters left: 5 (110 enodes) 1546937862.964 * * [misc]simplify: iters left: 4 (347 enodes) 1546937863.214 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) 1546937863.214 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937863.214 * * * * [misc]progress: [ 616 / 5901 ] simplifiying candidate # 1546937863.215 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937863.215 * * [misc]simplify: iters left: 6 (47 enodes) 1546937863.231 * * [misc]simplify: iters left: 5 (124 enodes) 1546937863.263 * * [misc]simplify: iters left: 4 (380 enodes) 1546937863.483 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937863.483 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937863.484 * * * * [misc]progress: [ 617 / 5901 ] simplifiying candidate # 1546937863.484 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937863.484 * * [misc]simplify: iters left: 6 (42 enodes) 1546937863.492 * * [misc]simplify: iters left: 5 (110 enodes) 1546937863.533 * * [misc]simplify: iters left: 4 (347 enodes) 1546937863.739 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) 1546937863.740 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937863.740 * * * * [misc]progress: [ 618 / 5901 ] simplifiying candidate # 1546937863.740 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937863.741 * * [misc]simplify: iters left: 6 (48 enodes) 1546937863.757 * * [misc]simplify: iters left: 5 (122 enodes) 1546937863.790 * * [misc]simplify: iters left: 4 (419 enodes) 1546937864.110 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937864.110 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937864.110 * * * * [misc]progress: [ 619 / 5901 ] simplifiying candidate # 1546937864.110 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937864.111 * * [misc]simplify: iters left: 6 (49 enodes) 1546937864.119 * * [misc]simplify: iters left: 5 (129 enodes) 1546937864.152 * * [misc]simplify: iters left: 4 (450 enodes) 1546937864.604 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) 1546937864.604 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937864.605 * * * * [misc]progress: [ 620 / 5901 ] simplifiying candidate # 1546937864.605 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937864.605 * * [misc]simplify: iters left: 6 (49 enodes) 1546937864.614 * * [misc]simplify: iters left: 5 (129 enodes) 1546937864.661 * * [misc]simplify: iters left: 4 (448 enodes) 1546937865.053 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) 1546937865.053 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937865.053 * * * * [misc]progress: [ 621 / 5901 ] simplifiying candidate # 1546937865.054 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937865.055 * * [misc]simplify: iters left: 6 (43 enodes) 1546937865.071 * * [misc]simplify: iters left: 5 (109 enodes) 1546937865.115 * * [misc]simplify: iters left: 4 (367 enodes) 1546937865.381 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 1546937865.381 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937865.382 * * * * [misc]progress: [ 622 / 5901 ] simplifiying candidate # 1546937865.382 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937865.382 * * [misc]simplify: iters left: 6 (48 enodes) 1546937865.391 * * [misc]simplify: iters left: 5 (123 enodes) 1546937865.438 * * [misc]simplify: iters left: 4 (391 enodes) 1546937865.673 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937865.673 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937865.674 * * * * [misc]progress: [ 623 / 5901 ] simplifiying candidate # 1546937865.674 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937865.674 * * [misc]simplify: iters left: 6 (43 enodes) 1546937865.688 * * [misc]simplify: iters left: 5 (109 enodes) 1546937865.726 * * [misc]simplify: iters left: 4 (358 enodes) 1546937865.910 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546937865.910 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937865.910 * * * * [misc]progress: [ 624 / 5901 ] simplifiying candidate # 1546937865.911 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937865.911 * * [misc]simplify: iters left: 6 (48 enodes) 1546937865.926 * * [misc]simplify: iters left: 5 (123 enodes) 1546937865.972 * * [misc]simplify: iters left: 4 (391 enodes) 1546937866.214 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937866.214 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937866.214 * * * * [misc]progress: [ 625 / 5901 ] simplifiying candidate # 1546937866.214 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937866.214 * * [misc]simplify: iters left: 6 (43 enodes) 1546937866.222 * * [misc]simplify: iters left: 5 (109 enodes) 1546937866.253 * * [misc]simplify: iters left: 4 (358 enodes) 1546937866.494 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937866.494 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937866.494 * * * * [misc]progress: [ 626 / 5901 ] simplifiying candidate # 1546937866.494 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937866.495 * * [misc]simplify: iters left: 6 (48 enodes) 1546937866.511 * * [misc]simplify: iters left: 5 (121 enodes) 1546937866.547 * * [misc]simplify: iters left: 4 (420 enodes) 1546937866.887 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) 1546937866.887 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937866.887 * * * * [misc]progress: [ 627 / 5901 ] simplifiying candidate # 1546937866.887 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937866.888 * * [misc]simplify: iters left: 6 (49 enodes) 1546937866.897 * * [misc]simplify: iters left: 5 (128 enodes) 1546937866.922 * * [misc]simplify: iters left: 4 (451 enodes) 1546937867.269 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))))) 1546937867.270 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937867.270 * * * * [misc]progress: [ 628 / 5901 ] simplifiying candidate # 1546937867.270 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937867.270 * * [misc]simplify: iters left: 6 (49 enodes) 1546937867.279 * * [misc]simplify: iters left: 5 (128 enodes) 1546937867.314 * * [misc]simplify: iters left: 4 (449 enodes) 1546937867.675 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))))))) 1546937867.675 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937867.676 * * * * [misc]progress: [ 629 / 5901 ] simplifiying candidate # 1546937867.676 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937867.676 * * [misc]simplify: iters left: 6 (43 enodes) 1546937867.688 * * [misc]simplify: iters left: 5 (108 enodes) 1546937867.715 * * [misc]simplify: iters left: 4 (368 enodes) 1546937868.047 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 1546937868.048 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937868.048 * * * * [misc]progress: [ 630 / 5901 ] simplifiying candidate # 1546937868.048 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937868.049 * * [misc]simplify: iters left: 6 (48 enodes) 1546937868.065 * * [misc]simplify: iters left: 5 (122 enodes) 1546937868.088 * * [misc]simplify: iters left: 4 (392 enodes) 1546937868.361 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937868.361 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937868.361 * * * * [misc]progress: [ 631 / 5901 ] simplifiying candidate # 1546937868.361 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937868.362 * * [misc]simplify: iters left: 6 (43 enodes) 1546937868.376 * * [misc]simplify: iters left: 5 (108 enodes) 1546937868.398 * * [misc]simplify: iters left: 4 (359 enodes) 1546937868.591 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937868.592 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (- phi1 phi2)))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937868.592 * * * * [misc]progress: [ 632 / 5901 ] simplifiying candidate # 1546937868.592 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937868.592 * * [misc]simplify: iters left: 6 (48 enodes) 1546937868.601 * * [misc]simplify: iters left: 5 (122 enodes) 1546937868.629 * * [misc]simplify: iters left: 4 (392 enodes) 1546937868.868 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937868.869 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937868.870 * * * * [misc]progress: [ 633 / 5901 ] simplifiying candidate # 1546937868.870 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937868.871 * * [misc]simplify: iters left: 6 (43 enodes) 1546937868.886 * * [misc]simplify: iters left: 5 (108 enodes) 1546937868.923 * * [misc]simplify: iters left: 4 (359 enodes) 1546937869.125 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937869.125 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937869.126 * * * * [misc]progress: [ 634 / 5901 ] simplifiying candidate # 1546937869.126 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937869.126 * * [misc]simplify: iters left: 6 (48 enodes) 1546937869.135 * * [misc]simplify: iters left: 5 (122 enodes) 1546937869.159 * * [misc]simplify: iters left: 4 (419 enodes) 1546937869.452 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937869.452 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937869.453 * * * * [misc]progress: [ 635 / 5901 ] simplifiying candidate # 1546937869.453 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937869.454 * * [misc]simplify: iters left: 6 (49 enodes) 1546937869.475 * * [misc]simplify: iters left: 5 (129 enodes) 1546937869.524 * * [misc]simplify: iters left: 4 (450 enodes) 1546937869.883 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) 1546937869.883 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937869.883 * * * * [misc]progress: [ 636 / 5901 ] simplifiying candidate # 1546937869.884 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937869.885 * * [misc]simplify: iters left: 6 (49 enodes) 1546937869.902 * * [misc]simplify: iters left: 5 (129 enodes) 1546937869.953 * * [misc]simplify: iters left: 4 (448 enodes) 1546937870.313 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) 1546937870.313 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937870.313 * * * * [misc]progress: [ 637 / 5901 ] simplifiying candidate # 1546937870.313 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937870.314 * * [misc]simplify: iters left: 6 (43 enodes) 1546937870.327 * * [misc]simplify: iters left: 5 (109 enodes) 1546937870.353 * * [misc]simplify: iters left: 4 (367 enodes) 1546937870.587 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 1546937870.587 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937870.587 * * * * [misc]progress: [ 638 / 5901 ] simplifiying candidate # 1546937870.587 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937870.588 * * [misc]simplify: iters left: 6 (48 enodes) 1546937870.596 * * [misc]simplify: iters left: 5 (123 enodes) 1546937870.621 * * [misc]simplify: iters left: 4 (391 enodes) 1546937870.844 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937870.844 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (- phi1 phi2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937870.844 * * * * [misc]progress: [ 639 / 5901 ] simplifiying candidate # 1546937870.844 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937870.845 * * [misc]simplify: iters left: 6 (43 enodes) 1546937870.852 * * [misc]simplify: iters left: 5 (109 enodes) 1546937870.886 * * [misc]simplify: iters left: 4 (358 enodes) 1546937871.111 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937871.111 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937871.111 * * * * [misc]progress: [ 640 / 5901 ] simplifiying candidate # 1546937871.112 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937871.112 * * [misc]simplify: iters left: 6 (48 enodes) 1546937871.130 * * [misc]simplify: iters left: 5 (123 enodes) 1546937871.175 * * [misc]simplify: iters left: 4 (391 enodes) 1546937871.477 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937871.477 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937871.477 * * * * [misc]progress: [ 641 / 5901 ] simplifiying candidate # 1546937871.478 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937871.478 * * [misc]simplify: iters left: 6 (43 enodes) 1546937871.486 * * [misc]simplify: iters left: 5 (109 enodes) 1546937871.511 * * [misc]simplify: iters left: 4 (358 enodes) 1546937871.735 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937871.735 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937871.735 * * * * [misc]progress: [ 642 / 5901 ] simplifiying candidate # 1546937871.736 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937871.736 * * [misc]simplify: iters left: 6 (48 enodes) 1546937871.747 * * [misc]simplify: iters left: 5 (122 enodes) 1546937871.785 * * [misc]simplify: iters left: 4 (421 enodes) 1546937872.148 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937872.148 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937872.148 * * * * [misc]progress: [ 643 / 5901 ] simplifiying candidate # 1546937872.148 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937872.149 * * [misc]simplify: iters left: 6 (49 enodes) 1546937872.161 * * [misc]simplify: iters left: 5 (129 enodes) 1546937872.189 * * [misc]simplify: iters left: 4 (452 enodes) 1546937872.595 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) 1546937872.595 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937872.595 * * * * [misc]progress: [ 644 / 5901 ] simplifiying candidate # 1546937872.596 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937872.596 * * [misc]simplify: iters left: 6 (49 enodes) 1546937872.608 * * [misc]simplify: iters left: 5 (129 enodes) 1546937872.634 * * [misc]simplify: iters left: 4 (450 enodes) 1546937872.971 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))))))) 1546937872.971 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937872.972 * * * * [misc]progress: [ 645 / 5901 ] simplifiying candidate # 1546937872.972 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937872.973 * * [misc]simplify: iters left: 6 (43 enodes) 1546937872.982 * * [misc]simplify: iters left: 5 (109 enodes) 1546937873.003 * * [misc]simplify: iters left: 4 (369 enodes) 1546937873.272 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 1546937873.272 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937873.272 * * * * [misc]progress: [ 646 / 5901 ] simplifiying candidate # 1546937873.273 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937873.273 * * [misc]simplify: iters left: 6 (48 enodes) 1546937873.290 * * [misc]simplify: iters left: 5 (123 enodes) 1546937873.335 * * [misc]simplify: iters left: 4 (393 enodes) 1546937873.584 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937873.584 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937873.584 * * * * [misc]progress: [ 647 / 5901 ] simplifiying candidate # 1546937873.585 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937873.585 * * [misc]simplify: iters left: 6 (43 enodes) 1546937873.593 * * [misc]simplify: iters left: 5 (109 enodes) 1546937873.615 * * [misc]simplify: iters left: 4 (360 enodes) 1546937873.850 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937873.850 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- phi1 phi2) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937873.850 * * * * [misc]progress: [ 648 / 5901 ] simplifiying candidate # 1546937873.851 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937873.851 * * [misc]simplify: iters left: 6 (48 enodes) 1546937873.859 * * [misc]simplify: iters left: 5 (123 enodes) 1546937873.883 * * [misc]simplify: iters left: 4 (393 enodes) 1546937874.153 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937874.153 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937874.153 * * * * [misc]progress: [ 649 / 5901 ] simplifiying candidate # 1546937874.153 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937874.154 * * [misc]simplify: iters left: 6 (43 enodes) 1546937874.169 * * [misc]simplify: iters left: 5 (109 enodes) 1546937874.199 * * [misc]simplify: iters left: 4 (360 enodes) 1546937874.484 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937874.484 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937874.484 * * * * [misc]progress: [ 650 / 5901 ] simplifiying candidate # 1546937874.485 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937874.485 * * [misc]simplify: iters left: 6 (51 enodes) 1546937874.504 * * [misc]simplify: iters left: 5 (137 enodes) 1546937874.556 * * [misc]simplify: iters left: 4 (472 enodes) 1546937874.892 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937874.893 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937874.893 * * * * [misc]progress: [ 651 / 5901 ] simplifiying candidate # 1546937874.893 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937874.893 * * [misc]simplify: iters left: 6 (52 enodes) 1546937874.903 * * [misc]simplify: iters left: 5 (144 enodes) 1546937874.943 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937874.943 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937874.943 * * * * [misc]progress: [ 652 / 5901 ] simplifiying candidate # 1546937874.943 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937874.944 * * [misc]simplify: iters left: 6 (52 enodes) 1546937874.954 * * [misc]simplify: iters left: 5 (144 enodes) 1546937874.995 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937874.996 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937874.996 * * * * [misc]progress: [ 653 / 5901 ] simplifiying candidate # 1546937874.997 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937874.997 * * [misc]simplify: iters left: 6 (46 enodes) 1546937875.015 * * [misc]simplify: iters left: 5 (124 enodes) 1546937875.050 * * [misc]simplify: iters left: 4 (420 enodes) 1546937875.325 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937875.325 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937875.325 * * * * [misc]progress: [ 654 / 5901 ] simplifiying candidate # 1546937875.326 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937875.326 * * [misc]simplify: iters left: 6 (51 enodes) 1546937875.345 * * [misc]simplify: iters left: 5 (138 enodes) 1546937875.378 * * [misc]simplify: iters left: 4 (443 enodes) 1546937875.662 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937875.663 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937875.663 * * * * [misc]progress: [ 655 / 5901 ] simplifiying candidate # 1546937875.663 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937875.663 * * [misc]simplify: iters left: 6 (46 enodes) 1546937875.672 * * [misc]simplify: iters left: 5 (124 enodes) 1546937875.703 * * [misc]simplify: iters left: 4 (408 enodes) 1546937875.967 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937875.967 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937875.967 * * * * [misc]progress: [ 656 / 5901 ] simplifiying candidate # 1546937875.968 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937875.969 * * [misc]simplify: iters left: 6 (51 enodes) 1546937875.986 * * [misc]simplify: iters left: 5 (138 enodes) 1546937876.033 * * [misc]simplify: iters left: 4 (443 enodes) 1546937876.337 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937876.337 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937876.337 * * * * [misc]progress: [ 657 / 5901 ] simplifiying candidate # 1546937876.338 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937876.338 * * [misc]simplify: iters left: 6 (46 enodes) 1546937876.355 * * [misc]simplify: iters left: 5 (124 enodes) 1546937876.400 * * [misc]simplify: iters left: 4 (408 enodes) 1546937876.672 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937876.672 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937876.672 * * * * [misc]progress: [ 658 / 5901 ] simplifiying candidate # 1546937876.672 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937876.673 * * [misc]simplify: iters left: 6 (47 enodes) 1546937876.682 * * [misc]simplify: iters left: 5 (122 enodes) 1546937876.711 * * [misc]simplify: iters left: 4 (408 enodes) 1546937877.004 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) 1546937877.005 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937877.005 * * * * [misc]progress: [ 659 / 5901 ] simplifiying candidate # 1546937877.005 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937877.005 * * [misc]simplify: iters left: 6 (48 enodes) 1546937877.014 * * [misc]simplify: iters left: 5 (129 enodes) 1546937877.050 * * [misc]simplify: iters left: 4 (439 enodes) 1546937877.335 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 1546937877.335 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937877.335 * * * * [misc]progress: [ 660 / 5901 ] simplifiying candidate # 1546937877.335 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937877.336 * * [misc]simplify: iters left: 6 (48 enodes) 1546937877.353 * * [misc]simplify: iters left: 5 (129 enodes) 1546937877.382 * * [misc]simplify: iters left: 4 (437 enodes) 1546937877.672 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 1546937877.672 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937877.672 * * * * [misc]progress: [ 661 / 5901 ] simplifiying candidate # 1546937877.672 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937877.673 * * [misc]simplify: iters left: 6 (42 enodes) 1546937877.680 * * [misc]simplify: iters left: 5 (111 enodes) 1546937877.707 * * [misc]simplify: iters left: 4 (351 enodes) 1546937877.950 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) 1546937877.950 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937877.950 * * * * [misc]progress: [ 662 / 5901 ] simplifiying candidate # 1546937877.950 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937877.951 * * [misc]simplify: iters left: 6 (47 enodes) 1546937877.965 * * [misc]simplify: iters left: 5 (125 enodes) 1546937877.989 * * [misc]simplify: iters left: 4 (386 enodes) 1546937878.194 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) 1546937878.194 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937878.194 * * * * [misc]progress: [ 663 / 5901 ] simplifiying candidate # 1546937878.194 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937878.195 * * [misc]simplify: iters left: 6 (42 enodes) 1546937878.203 * * [misc]simplify: iters left: 5 (111 enodes) 1546937878.226 * * [misc]simplify: iters left: 4 (355 enodes) 1546937878.413 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ phi2 phi1) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) 1546937878.413 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ phi2 phi1) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937878.413 * * * * [misc]progress: [ 664 / 5901 ] simplifiying candidate # 1546937878.414 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937878.414 * * [misc]simplify: iters left: 6 (47 enodes) 1546937878.431 * * [misc]simplify: iters left: 5 (125 enodes) 1546937878.471 * * [misc]simplify: iters left: 4 (386 enodes) 1546937878.699 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) 1546937878.699 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937878.700 * * * * [misc]progress: [ 665 / 5901 ] simplifiying candidate # 1546937878.700 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937878.701 * * [misc]simplify: iters left: 6 (42 enodes) 1546937878.715 * * [misc]simplify: iters left: 5 (111 enodes) 1546937878.741 * * [misc]simplify: iters left: 4 (355 enodes) 1546937878.990 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ phi2 phi1) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) 1546937878.990 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (+ phi2 phi1) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937878.990 * * * * [misc]progress: [ 666 / 5901 ] simplifiying candidate # 1546937878.991 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937878.991 * * [misc]simplify: iters left: 6 (47 enodes) 1546937879.008 * * [misc]simplify: iters left: 5 (124 enodes) 1546937879.052 * * [misc]simplify: iters left: 4 (403 enodes) 1546937879.373 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) 1546937879.373 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937879.373 * * * * [misc]progress: [ 667 / 5901 ] simplifiying candidate # 1546937879.374 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937879.374 * * [misc]simplify: iters left: 6 (48 enodes) 1546937879.391 * * [misc]simplify: iters left: 5 (131 enodes) 1546937879.439 * * [misc]simplify: iters left: 4 (433 enodes) 1546937879.882 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) 1546937879.882 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937879.882 * * * * [misc]progress: [ 668 / 5901 ] simplifiying candidate # 1546937879.883 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937879.883 * * [misc]simplify: iters left: 6 (48 enodes) 1546937879.900 * * [misc]simplify: iters left: 5 (131 enodes) 1546937879.948 * * [misc]simplify: iters left: 4 (431 enodes) 1546937880.272 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) 1546937880.272 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937880.273 * * * * [misc]progress: [ 669 / 5901 ] simplifiying candidate # 1546937880.273 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937880.274 * * [misc]simplify: iters left: 6 (42 enodes) 1546937880.293 * * [misc]simplify: iters left: 5 (111 enodes) 1546937880.334 * * [misc]simplify: iters left: 4 (354 enodes) 1546937880.578 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) 1546937880.578 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ phi2 phi1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937880.578 * * * * [misc]progress: [ 670 / 5901 ] simplifiying candidate # 1546937880.579 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937880.579 * * [misc]simplify: iters left: 6 (47 enodes) 1546937880.587 * * [misc]simplify: iters left: 5 (125 enodes) 1546937880.632 * * [misc]simplify: iters left: 4 (381 enodes) 1546937880.877 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) 1546937880.877 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937880.877 * * * * [misc]progress: [ 671 / 5901 ] simplifiying candidate # 1546937880.877 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937880.878 * * [misc]simplify: iters left: 6 (42 enodes) 1546937880.892 * * [misc]simplify: iters left: 5 (111 enodes) 1546937880.931 * * [misc]simplify: iters left: 4 (334 enodes) 1546937881.182 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (+ phi2 phi1) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) 1546937881.182 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (* (+ phi2 phi1) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937881.182 * * * * [misc]progress: [ 672 / 5901 ] simplifiying candidate # 1546937881.182 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937881.183 * * [misc]simplify: iters left: 6 (47 enodes) 1546937881.191 * * [misc]simplify: iters left: 5 (125 enodes) 1546937881.232 * * [misc]simplify: iters left: 4 (381 enodes) 1546937881.485 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) 1546937881.485 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937881.485 * * * * [misc]progress: [ 673 / 5901 ] simplifiying candidate # 1546937881.485 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937881.485 * * [misc]simplify: iters left: 6 (42 enodes) 1546937881.493 * * [misc]simplify: iters left: 5 (111 enodes) 1546937881.512 * * [misc]simplify: iters left: 4 (334 enodes) 1546937881.728 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))) (* (+ phi2 phi1) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) 1546937881.728 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))) (* (+ phi2 phi1) (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937881.728 * * * * [misc]progress: [ 674 / 5901 ] simplifiying candidate # 1546937881.729 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937881.729 * * [misc]simplify: iters left: 6 (51 enodes) 1546937881.750 * * [misc]simplify: iters left: 5 (137 enodes) 1546937881.804 * * [misc]simplify: iters left: 4 (441 enodes) 1546937882.244 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937882.244 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937882.245 * * * * [misc]progress: [ 675 / 5901 ] simplifiying candidate # 1546937882.245 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937882.246 * * [misc]simplify: iters left: 6 (52 enodes) 1546937882.266 * * [misc]simplify: iters left: 5 (144 enodes) 1546937882.297 * * [misc]simplify: iters left: 4 (473 enodes) 1546937882.635 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) 1546937882.636 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937882.636 * * * * [misc]progress: [ 676 / 5901 ] simplifiying candidate # 1546937882.636 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937882.637 * * [misc]simplify: iters left: 6 (52 enodes) 1546937882.653 * * [misc]simplify: iters left: 5 (144 enodes) 1546937882.682 * * [misc]simplify: iters left: 4 (471 enodes) 1546937883.013 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) 1546937883.013 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937883.014 * * * * [misc]progress: [ 677 / 5901 ] simplifiying candidate # 1546937883.014 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937883.015 * * [misc]simplify: iters left: 6 (46 enodes) 1546937883.031 * * [misc]simplify: iters left: 5 (124 enodes) 1546937883.077 * * [misc]simplify: iters left: 4 (388 enodes) 1546937883.327 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937883.327 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937883.328 * * * * [misc]progress: [ 678 / 5901 ] simplifiying candidate # 1546937883.328 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937883.329 * * [misc]simplify: iters left: 6 (51 enodes) 1546937883.347 * * [misc]simplify: iters left: 5 (138 enodes) 1546937883.376 * * [misc]simplify: iters left: 4 (412 enodes) 1546937883.615 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937883.615 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937883.616 * * * * [misc]progress: [ 679 / 5901 ] simplifiying candidate # 1546937883.616 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937883.616 * * [misc]simplify: iters left: 6 (46 enodes) 1546937883.624 * * [misc]simplify: iters left: 5 (124 enodes) 1546937883.648 * * [misc]simplify: iters left: 4 (377 enodes) 1546937883.851 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937883.851 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937883.852 * * * * [misc]progress: [ 680 / 5901 ] simplifiying candidate # 1546937883.852 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937883.852 * * [misc]simplify: iters left: 6 (51 enodes) 1546937883.861 * * [misc]simplify: iters left: 5 (138 enodes) 1546937883.887 * * [misc]simplify: iters left: 4 (412 enodes) 1546937884.167 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937884.167 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937884.167 * * * * [misc]progress: [ 681 / 5901 ] simplifiying candidate # 1546937884.167 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937884.168 * * [misc]simplify: iters left: 6 (46 enodes) 1546937884.184 * * [misc]simplify: iters left: 5 (124 enodes) 1546937884.225 * * [misc]simplify: iters left: 4 (377 enodes) 1546937884.452 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937884.452 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937884.452 * * * * [misc]progress: [ 682 / 5901 ] simplifiying candidate # 1546937884.452 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937884.453 * * [misc]simplify: iters left: 6 (52 enodes) 1546937884.471 * * [misc]simplify: iters left: 5 (135 enodes) 1546937884.525 * * [misc]simplify: iters left: 4 (439 enodes) 1546937884.852 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) 1546937884.852 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937884.853 * * * * [misc]progress: [ 683 / 5901 ] simplifiying candidate # 1546937884.853 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937884.869 * * [misc]simplify: iters left: 6 (53 enodes) 1546937884.889 * * [misc]simplify: iters left: 5 (142 enodes) 1546937884.946 * * [misc]simplify: iters left: 4 (469 enodes) 1546937885.354 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937885.354 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937885.354 * * * * [misc]progress: [ 684 / 5901 ] simplifiying candidate # 1546937885.354 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937885.354 * * [misc]simplify: iters left: 6 (53 enodes) 1546937885.373 * * [misc]simplify: iters left: 5 (142 enodes) 1546937885.427 * * [misc]simplify: iters left: 4 (467 enodes) 1546937885.805 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937885.806 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937885.806 * * * * [misc]progress: [ 685 / 5901 ] simplifiying candidate # 1546937885.806 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937885.807 * * [misc]simplify: iters left: 6 (47 enodes) 1546937885.823 * * [misc]simplify: iters left: 5 (122 enodes) 1546937885.869 * * [misc]simplify: iters left: 4 (394 enodes) 1546937886.116 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937886.116 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937886.116 * * * * [misc]progress: [ 686 / 5901 ] simplifiying candidate # 1546937886.116 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937886.116 * * [misc]simplify: iters left: 6 (52 enodes) 1546937886.132 * * [misc]simplify: iters left: 5 (136 enodes) 1546937886.182 * * [misc]simplify: iters left: 4 (414 enodes) 1546937886.976 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937886.976 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937886.976 * * * * [misc]progress: [ 687 / 5901 ] simplifiying candidate # 1546937886.977 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937886.977 * * [misc]simplify: iters left: 6 (47 enodes) 1546937886.986 * * [misc]simplify: iters left: 5 (122 enodes) 1546937887.016 * * [misc]simplify: iters left: 4 (382 enodes) 1546937887.240 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546937887.240 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937887.240 * * * * [misc]progress: [ 688 / 5901 ] simplifiying candidate # 1546937887.241 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937887.241 * * [misc]simplify: iters left: 6 (52 enodes) 1546937887.250 * * [misc]simplify: iters left: 5 (136 enodes) 1546937887.281 * * [misc]simplify: iters left: 4 (414 enodes) 1546937887.566 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937887.566 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937887.567 * * * * [misc]progress: [ 689 / 5901 ] simplifiying candidate # 1546937887.567 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937887.568 * * [misc]simplify: iters left: 6 (47 enodes) 1546937887.584 * * [misc]simplify: iters left: 5 (122 enodes) 1546937887.618 * * [misc]simplify: iters left: 4 (382 enodes) 1546937887.824 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546937887.824 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937887.824 * * * * [misc]progress: [ 690 / 5901 ] simplifiying candidate # 1546937887.824 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937887.825 * * [misc]simplify: iters left: 6 (52 enodes) 1546937887.834 * * [misc]simplify: iters left: 5 (135 enodes) 1546937887.871 * * [misc]simplify: iters left: 4 (441 enodes) 1546937888.300 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) 1546937888.300 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937888.300 * * * * [misc]progress: [ 691 / 5901 ] simplifiying candidate # 1546937888.301 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937888.301 * * [misc]simplify: iters left: 6 (53 enodes) 1546937888.325 * * [misc]simplify: iters left: 5 (142 enodes) 1546937888.378 * * [misc]simplify: iters left: 4 (471 enodes) 1546937888.793 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) 1546937888.793 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937888.794 * * * * [misc]progress: [ 692 / 5901 ] simplifiying candidate # 1546937888.794 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937888.795 * * [misc]simplify: iters left: 6 (53 enodes) 1546937888.811 * * [misc]simplify: iters left: 5 (142 enodes) 1546937888.856 * * [misc]simplify: iters left: 4 (469 enodes) 1546937889.239 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) 1546937889.240 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937889.240 * * * * [misc]progress: [ 693 / 5901 ] simplifiying candidate # 1546937889.241 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937889.241 * * [misc]simplify: iters left: 6 (47 enodes) 1546937889.257 * * [misc]simplify: iters left: 5 (122 enodes) 1546937889.307 * * [misc]simplify: iters left: 4 (396 enodes) 1546937889.614 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))))) 1546937889.614 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937889.615 * * * * [misc]progress: [ 694 / 5901 ] simplifiying candidate # 1546937889.615 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937889.616 * * [misc]simplify: iters left: 6 (52 enodes) 1546937889.634 * * [misc]simplify: iters left: 5 (136 enodes) 1546937889.669 * * [misc]simplify: iters left: 4 (416 enodes) 1546937889.957 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937889.957 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937889.957 * * * * [misc]progress: [ 695 / 5901 ] simplifiying candidate # 1546937889.958 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937889.958 * * [misc]simplify: iters left: 6 (47 enodes) 1546937889.974 * * [misc]simplify: iters left: 5 (122 enodes) 1546937889.997 * * [misc]simplify: iters left: 4 (384 enodes) 1546937890.242 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937890.242 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937890.243 * * * * [misc]progress: [ 696 / 5901 ] simplifiying candidate # 1546937890.243 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937890.243 * * [misc]simplify: iters left: 6 (52 enodes) 1546937890.253 * * [misc]simplify: iters left: 5 (136 enodes) 1546937890.279 * * [misc]simplify: iters left: 4 (416 enodes) 1546937890.534 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937890.534 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937890.535 * * * * [misc]progress: [ 697 / 5901 ] simplifiying candidate # 1546937890.535 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937890.535 * * [misc]simplify: iters left: 6 (47 enodes) 1546937890.544 * * [misc]simplify: iters left: 5 (122 enodes) 1546937890.582 * * [misc]simplify: iters left: 4 (384 enodes) 1546937890.809 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937890.809 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937890.809 * * * * [misc]progress: [ 698 / 5901 ] simplifiying candidate # 1546937890.809 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937890.810 * * [misc]simplify: iters left: 6 (52 enodes) 1546937890.819 * * [misc]simplify: iters left: 5 (136 enodes) 1546937890.858 * * [misc]simplify: iters left: 4 (440 enodes) 1546937891.210 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 1546937891.210 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937891.211 * * * * [misc]progress: [ 699 / 5901 ] simplifiying candidate # 1546937891.211 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937891.212 * * [misc]simplify: iters left: 6 (53 enodes) 1546937891.230 * * [misc]simplify: iters left: 5 (143 enodes) 1546937891.285 * * [misc]simplify: iters left: 4 (470 enodes) 1546937891.627 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937891.627 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937891.627 * * * * [misc]progress: [ 700 / 5901 ] simplifiying candidate # 1546937891.627 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937891.628 * * [misc]simplify: iters left: 6 (53 enodes) 1546937891.637 * * [misc]simplify: iters left: 5 (143 enodes) 1546937891.680 * * [misc]simplify: iters left: 4 (468 enodes) 1546937892.021 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) 1546937892.021 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937892.021 * * * * [misc]progress: [ 701 / 5901 ] simplifiying candidate # 1546937892.022 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937892.022 * * [misc]simplify: iters left: 6 (47 enodes) 1546937892.039 * * [misc]simplify: iters left: 5 (123 enodes) 1546937892.081 * * [misc]simplify: iters left: 4 (395 enodes) 1546937892.347 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546937892.347 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937892.347 * * * * [misc]progress: [ 702 / 5901 ] simplifiying candidate # 1546937892.348 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937892.348 * * [misc]simplify: iters left: 6 (52 enodes) 1546937892.357 * * [misc]simplify: iters left: 5 (137 enodes) 1546937892.387 * * [misc]simplify: iters left: 4 (415 enodes) 1546937892.702 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937892.702 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937892.702 * * * * [misc]progress: [ 703 / 5901 ] simplifiying candidate # 1546937892.702 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937892.703 * * [misc]simplify: iters left: 6 (47 enodes) 1546937892.724 * * [misc]simplify: iters left: 5 (123 enodes) 1546937892.749 * * [misc]simplify: iters left: 4 (383 enodes) 1546937892.974 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546937892.974 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937892.974 * * * * [misc]progress: [ 704 / 5901 ] simplifiying candidate # 1546937892.975 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937892.975 * * [misc]simplify: iters left: 6 (52 enodes) 1546937892.988 * * [misc]simplify: iters left: 5 (137 enodes) 1546937893.026 * * [misc]simplify: iters left: 4 (415 enodes) 1546937893.263 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 1546937893.263 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937893.263 * * * * [misc]progress: [ 705 / 5901 ] simplifiying candidate # 1546937893.263 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937893.264 * * [misc]simplify: iters left: 6 (47 enodes) 1546937893.281 * * [misc]simplify: iters left: 5 (123 enodes) 1546937893.319 * * [misc]simplify: iters left: 4 (383 enodes) 1546937893.602 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546937893.602 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937893.602 * * * * [misc]progress: [ 706 / 5901 ] simplifiying candidate # 1546937893.603 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937893.603 * * [misc]simplify: iters left: 6 (52 enodes) 1546937893.612 * * [misc]simplify: iters left: 5 (136 enodes) 1546937893.651 * * [misc]simplify: iters left: 4 (442 enodes) 1546937894.004 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 1546937894.004 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937894.004 * * * * [misc]progress: [ 707 / 5901 ] simplifiying candidate # 1546937894.005 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937894.006 * * [misc]simplify: iters left: 6 (53 enodes) 1546937894.025 * * [misc]simplify: iters left: 5 (143 enodes) 1546937894.053 * * [misc]simplify: iters left: 4 (472 enodes) 1546937894.425 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937894.425 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937894.427 * * * * [misc]progress: [ 708 / 5901 ] simplifiying candidate # 1546937894.427 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937894.427 * * [misc]simplify: iters left: 6 (53 enodes) 1546937894.441 * * [misc]simplify: iters left: 5 (143 enodes) 1546937894.499 * * [misc]simplify: iters left: 4 (470 enodes) 1546937894.853 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937894.853 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937894.854 * * * * [misc]progress: [ 709 / 5901 ] simplifiying candidate # 1546937894.854 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937894.855 * * [misc]simplify: iters left: 6 (47 enodes) 1546937894.872 * * [misc]simplify: iters left: 5 (123 enodes) 1546937894.921 * * [misc]simplify: iters left: 4 (397 enodes) 1546937895.235 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546937895.235 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937895.236 * * * * [misc]progress: [ 710 / 5901 ] simplifiying candidate # 1546937895.236 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937895.236 * * [misc]simplify: iters left: 6 (52 enodes) 1546937895.245 * * [misc]simplify: iters left: 5 (137 enodes) 1546937895.271 * * [misc]simplify: iters left: 4 (417 enodes) 1546937895.570 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937895.570 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937895.570 * * * * [misc]progress: [ 711 / 5901 ] simplifiying candidate # 1546937895.571 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937895.571 * * [misc]simplify: iters left: 6 (47 enodes) 1546937895.588 * * [misc]simplify: iters left: 5 (123 enodes) 1546937895.614 * * [misc]simplify: iters left: 4 (385 enodes) 1546937895.827 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))))) 1546937895.827 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937895.827 * * * * [misc]progress: [ 712 / 5901 ] simplifiying candidate # 1546937895.827 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937895.828 * * [misc]simplify: iters left: 6 (52 enodes) 1546937895.842 * * [misc]simplify: iters left: 5 (137 enodes) 1546937895.894 * * [misc]simplify: iters left: 4 (417 enodes) 1546937896.184 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937896.184 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda2 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937896.184 * * * * [misc]progress: [ 713 / 5901 ] simplifiying candidate # 1546937896.184 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937896.185 * * [misc]simplify: iters left: 6 (47 enodes) 1546937896.193 * * [misc]simplify: iters left: 5 (123 enodes) 1546937896.222 * * [misc]simplify: iters left: 4 (385 enodes) 1546937896.531 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))))) 1546937896.532 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937896.532 * * * * [misc]progress: [ 714 / 5901 ] simplifiying candidate # 1546937896.532 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937896.532 * * [misc]simplify: iters left: 6 (51 enodes) 1546937896.541 * * [misc]simplify: iters left: 5 (139 enodes) 1546937896.570 * * [misc]simplify: iters left: 4 (486 enodes) 1546937896.982 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937896.982 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937896.982 * * * * [misc]progress: [ 715 / 5901 ] simplifiying candidate # 1546937896.983 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937896.983 * * [misc]simplify: iters left: 6 (52 enodes) 1546937896.993 * * [misc]simplify: iters left: 5 (146 enodes) 1546937897.035 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937897.035 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937897.035 * * * * [misc]progress: [ 716 / 5901 ] simplifiying candidate # 1546937897.035 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937897.036 * * [misc]simplify: iters left: 6 (52 enodes) 1546937897.045 * * [misc]simplify: iters left: 5 (146 enodes) 1546937897.108 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937897.108 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937897.108 * * * * [misc]progress: [ 717 / 5901 ] simplifiying candidate # 1546937897.108 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937897.108 * * [misc]simplify: iters left: 6 (46 enodes) 1546937897.117 * * [misc]simplify: iters left: 5 (126 enodes) 1546937897.146 * * [misc]simplify: iters left: 4 (434 enodes) 1546937897.493 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937897.493 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937897.494 * * * * [misc]progress: [ 718 / 5901 ] simplifiying candidate # 1546937897.494 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937897.494 * * [misc]simplify: iters left: 6 (51 enodes) 1546937897.503 * * [misc]simplify: iters left: 5 (140 enodes) 1546937897.551 * * [misc]simplify: iters left: 4 (458 enodes) 1546937897.855 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937897.855 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937897.855 * * * * [misc]progress: [ 719 / 5901 ] simplifiying candidate # 1546937897.856 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937897.856 * * [misc]simplify: iters left: 6 (46 enodes) 1546937897.864 * * [misc]simplify: iters left: 5 (126 enodes) 1546937897.889 * * [misc]simplify: iters left: 4 (425 enodes) 1546937898.154 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937898.154 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937898.154 * * * * [misc]progress: [ 720 / 5901 ] simplifiying candidate # 1546937898.155 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937898.155 * * [misc]simplify: iters left: 6 (51 enodes) 1546937898.180 * * [misc]simplify: iters left: 5 (140 enodes) 1546937898.224 * * [misc]simplify: iters left: 4 (458 enodes) 1546937898.561 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937898.561 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937898.562 * * * * [misc]progress: [ 721 / 5901 ] simplifiying candidate # 1546937898.562 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937898.563 * * [misc]simplify: iters left: 6 (46 enodes) 1546937898.578 * * [misc]simplify: iters left: 5 (126 enodes) 1546937898.631 * * [misc]simplify: iters left: 4 (425 enodes) 1546937898.986 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937898.987 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937898.987 * * * * [misc]progress: [ 722 / 5901 ] simplifiying candidate # 1546937898.987 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937898.988 * * [misc]simplify: iters left: 6 (47 enodes) 1546937899.005 * * [misc]simplify: iters left: 5 (121 enodes) 1546937899.029 * * [misc]simplify: iters left: 4 (398 enodes) 1546937899.253 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937899.253 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937899.253 * * * * [misc]progress: [ 723 / 5901 ] simplifiying candidate # 1546937899.253 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937899.254 * * [misc]simplify: iters left: 6 (48 enodes) 1546937899.266 * * [misc]simplify: iters left: 5 (128 enodes) 1546937899.304 * * [misc]simplify: iters left: 4 (429 enodes) 1546937899.672 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))))) 1546937899.673 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937899.674 * * * * [misc]progress: [ 724 / 5901 ] simplifiying candidate # 1546937899.674 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937899.675 * * [misc]simplify: iters left: 6 (48 enodes) 1546937899.692 * * [misc]simplify: iters left: 5 (128 enodes) 1546937899.741 * * [misc]simplify: iters left: 4 (427 enodes) 1546937900.081 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) 1546937900.081 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937900.081 * * * * [misc]progress: [ 725 / 5901 ] simplifiying candidate # 1546937900.081 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937900.082 * * [misc]simplify: iters left: 6 (42 enodes) 1546937900.089 * * [misc]simplify: iters left: 5 (109 enodes) 1546937900.120 * * [misc]simplify: iters left: 4 (348 enodes) 1546937900.278 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) 1546937900.278 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937900.278 * * * * [misc]progress: [ 726 / 5901 ] simplifiying candidate # 1546937900.279 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937900.279 * * [misc]simplify: iters left: 6 (47 enodes) 1546937900.295 * * [misc]simplify: iters left: 5 (123 enodes) 1546937900.341 * * [misc]simplify: iters left: 4 (366 enodes) 1546937900.534 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937900.534 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937900.534 * * * * [misc]progress: [ 727 / 5901 ] simplifiying candidate # 1546937900.534 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937900.535 * * [misc]simplify: iters left: 6 (42 enodes) 1546937900.542 * * [misc]simplify: iters left: 5 (110 enodes) 1546937900.578 * * [misc]simplify: iters left: 4 (335 enodes) 1546937900.835 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ phi2 phi1))))) 1546937900.835 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937900.835 * * * * [misc]progress: [ 728 / 5901 ] simplifiying candidate # 1546937900.836 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937900.836 * * [misc]simplify: iters left: 6 (47 enodes) 1546937900.853 * * [misc]simplify: iters left: 5 (123 enodes) 1546937900.902 * * [misc]simplify: iters left: 4 (366 enodes) 1546937901.159 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937901.159 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937901.159 * * * * [misc]progress: [ 729 / 5901 ] simplifiying candidate # 1546937901.159 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937901.160 * * [misc]simplify: iters left: 6 (42 enodes) 1546937901.170 * * [misc]simplify: iters left: 5 (110 enodes) 1546937901.196 * * [misc]simplify: iters left: 4 (335 enodes) 1546937901.384 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ phi2 phi1))))) 1546937901.384 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937901.384 * * * * [misc]progress: [ 730 / 5901 ] simplifiying candidate # 1546937901.385 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937901.385 * * [misc]simplify: iters left: 6 (51 enodes) 1546937901.405 * * [misc]simplify: iters left: 5 (135 enodes) 1546937901.434 * * [misc]simplify: iters left: 4 (431 enodes) 1546937901.744 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937901.744 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937901.745 * * * * [misc]progress: [ 731 / 5901 ] simplifiying candidate # 1546937901.745 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937901.745 * * [misc]simplify: iters left: 6 (52 enodes) 1546937901.755 * * [misc]simplify: iters left: 5 (142 enodes) 1546937901.799 * * [misc]simplify: iters left: 4 (462 enodes) 1546937902.145 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937902.145 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937902.145 * * * * [misc]progress: [ 732 / 5901 ] simplifiying candidate # 1546937902.145 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937902.145 * * [misc]simplify: iters left: 6 (52 enodes) 1546937902.159 * * [misc]simplify: iters left: 5 (142 enodes) 1546937902.186 * * [misc]simplify: iters left: 4 (460 enodes) 1546937902.500 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937902.500 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937902.501 * * * * [misc]progress: [ 733 / 5901 ] simplifiying candidate # 1546937902.501 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937902.502 * * [misc]simplify: iters left: 6 (46 enodes) 1546937902.526 * * [misc]simplify: iters left: 5 (124 enodes) 1546937902.573 * * [misc]simplify: iters left: 4 (384 enodes) 1546937902.854 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937902.854 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (+ phi2 phi1) (- phi1 phi2)))) (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937902.855 * * * * [misc]progress: [ 734 / 5901 ] simplifiying candidate # 1546937902.855 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937902.856 * * [misc]simplify: iters left: 6 (51 enodes) 1546937902.879 * * [misc]simplify: iters left: 5 (137 enodes) 1546937902.929 * * [misc]simplify: iters left: 4 (400 enodes) 1546937903.143 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937903.143 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937903.144 * * * * [misc]progress: [ 735 / 5901 ] simplifiying candidate # 1546937903.144 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937903.144 * * [misc]simplify: iters left: 6 (46 enodes) 1546937903.165 * * [misc]simplify: iters left: 5 (123 enodes) 1546937903.191 * * [misc]simplify: iters left: 4 (374 enodes) 1546937903.476 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937903.476 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937903.476 * * * * [misc]progress: [ 736 / 5901 ] simplifiying candidate # 1546937903.476 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937903.477 * * [misc]simplify: iters left: 6 (51 enodes) 1546937903.500 * * [misc]simplify: iters left: 5 (137 enodes) 1546937903.550 * * [misc]simplify: iters left: 4 (400 enodes) 1546937903.815 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937903.815 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937903.815 * * * * [misc]progress: [ 737 / 5901 ] simplifiying candidate # 1546937903.816 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937903.816 * * [misc]simplify: iters left: 6 (46 enodes) 1546937903.835 * * [misc]simplify: iters left: 5 (123 enodes) 1546937903.862 * * [misc]simplify: iters left: 4 (374 enodes) 1546937904.101 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937904.101 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (+ phi2 phi1) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937904.101 * * * * [misc]progress: [ 738 / 5901 ] simplifiying candidate # 1546937904.101 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937904.101 * * [misc]simplify: iters left: 6 (47 enodes) 1546937904.113 * * [misc]simplify: iters left: 5 (125 enodes) 1546937904.137 * * [misc]simplify: iters left: 4 (412 enodes) 1546937904.496 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937904.496 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)) (+ (* phi2 (+ phi2 phi1)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937904.496 * * * * [misc]progress: [ 739 / 5901 ] simplifiying candidate # 1546937904.496 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937904.497 * * [misc]simplify: iters left: 6 (48 enodes) 1546937904.514 * * [misc]simplify: iters left: 5 (132 enodes) 1546937904.568 * * [misc]simplify: iters left: 4 (443 enodes) 1546937904.976 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) 1546937904.976 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937904.976 * * * * [misc]progress: [ 740 / 5901 ] simplifiying candidate # 1546937904.977 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937904.978 * * [misc]simplify: iters left: 6 (48 enodes) 1546937904.994 * * [misc]simplify: iters left: 5 (132 enodes) 1546937905.051 * * [misc]simplify: iters left: 4 (441 enodes) 1546937905.460 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) 1546937905.460 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937905.461 * * * * [misc]progress: [ 741 / 5901 ] simplifiying candidate # 1546937905.461 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937905.462 * * [misc]simplify: iters left: 6 (42 enodes) 1546937905.476 * * [misc]simplify: iters left: 5 (112 enodes) 1546937905.515 * * [misc]simplify: iters left: 4 (360 enodes) 1546937905.731 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) 1546937905.731 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937905.731 * * * * [misc]progress: [ 742 / 5901 ] simplifiying candidate # 1546937905.732 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937905.732 * * [misc]simplify: iters left: 6 (47 enodes) 1546937905.744 * * [misc]simplify: iters left: 5 (126 enodes) 1546937905.790 * * [misc]simplify: iters left: 4 (384 enodes) 1546937906.069 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937906.069 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937906.070 * * * * [misc]progress: [ 743 / 5901 ] simplifiying candidate # 1546937906.070 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937906.071 * * [misc]simplify: iters left: 6 (42 enodes) 1546937906.087 * * [misc]simplify: iters left: 5 (112 enodes) 1546937906.130 * * [misc]simplify: iters left: 4 (351 enodes) 1546937906.325 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937906.325 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937906.326 * * * * [misc]progress: [ 744 / 5901 ] simplifiying candidate # 1546937906.326 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937906.326 * * [misc]simplify: iters left: 6 (47 enodes) 1546937906.340 * * [misc]simplify: iters left: 5 (126 enodes) 1546937906.381 * * [misc]simplify: iters left: 4 (384 enodes) 1546937906.654 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937906.654 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937906.654 * * * * [misc]progress: [ 745 / 5901 ] simplifiying candidate # 1546937906.654 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937906.655 * * [misc]simplify: iters left: 6 (42 enodes) 1546937906.669 * * [misc]simplify: iters left: 5 (112 enodes) 1546937906.713 * * [misc]simplify: iters left: 4 (351 enodes) 1546937906.939 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937906.939 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937906.940 * * * * [misc]progress: [ 746 / 5901 ] simplifiying candidate # 1546937906.940 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937906.940 * * [misc]simplify: iters left: 6 (52 enodes) 1546937906.951 * * [misc]simplify: iters left: 5 (137 enodes) 1546937906.990 * * [misc]simplify: iters left: 4 (461 enodes) 1546937907.394 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 1546937907.394 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937907.394 * * * * [misc]progress: [ 747 / 5901 ] simplifiying candidate # 1546937907.395 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937907.395 * * [misc]simplify: iters left: 6 (53 enodes) 1546937907.411 * * [misc]simplify: iters left: 5 (144 enodes) 1546937907.441 * * [misc]simplify: iters left: 4 (492 enodes) 1546937907.776 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937907.776 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937907.776 * * * * [misc]progress: [ 748 / 5901 ] simplifiying candidate # 1546937907.776 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937907.777 * * [misc]simplify: iters left: 6 (53 enodes) 1546937907.795 * * [misc]simplify: iters left: 5 (144 enodes) 1546937907.825 * * [misc]simplify: iters left: 4 (490 enodes) 1546937908.238 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937908.238 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937908.238 * * * * [misc]progress: [ 749 / 5901 ] simplifiying candidate # 1546937908.238 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937908.238 * * [misc]simplify: iters left: 6 (47 enodes) 1546937908.251 * * [misc]simplify: iters left: 5 (124 enodes) 1546937908.276 * * [misc]simplify: iters left: 4 (409 enodes) 1546937908.530 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546937908.530 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937908.530 * * * * [misc]progress: [ 750 / 5901 ] simplifiying candidate # 1546937908.531 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937908.531 * * [misc]simplify: iters left: 6 (52 enodes) 1546937908.541 * * [misc]simplify: iters left: 5 (138 enodes) 1546937908.593 * * [misc]simplify: iters left: 4 (433 enodes) 1546937908.892 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937908.893 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937908.893 * * * * [misc]progress: [ 751 / 5901 ] simplifiying candidate # 1546937908.893 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937908.893 * * [misc]simplify: iters left: 6 (47 enodes) 1546937908.902 * * [misc]simplify: iters left: 5 (124 enodes) 1546937908.929 * * [misc]simplify: iters left: 4 (400 enodes) 1546937909.169 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937909.169 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937909.169 * * * * [misc]progress: [ 752 / 5901 ] simplifiying candidate # 1546937909.170 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937909.170 * * [misc]simplify: iters left: 6 (52 enodes) 1546937909.188 * * [misc]simplify: iters left: 5 (138 enodes) 1546937909.219 * * [misc]simplify: iters left: 4 (433 enodes) 1546937909.491 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) 1546937909.492 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937909.492 * * * * [misc]progress: [ 753 / 5901 ] simplifiying candidate # 1546937909.492 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937909.492 * * [misc]simplify: iters left: 6 (47 enodes) 1546937909.501 * * [misc]simplify: iters left: 5 (124 enodes) 1546937909.525 * * [misc]simplify: iters left: 4 (400 enodes) 1546937909.725 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937909.725 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937909.725 * * * * [misc]progress: [ 754 / 5901 ] simplifiying candidate # 1546937909.726 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937909.727 * * [misc]simplify: iters left: 6 (52 enodes) 1546937909.740 * * [misc]simplify: iters left: 5 (136 enodes) 1546937909.771 * * [misc]simplify: iters left: 4 (462 enodes) 1546937910.143 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 1546937910.143 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937910.143 * * * * [misc]progress: [ 755 / 5901 ] simplifiying candidate # 1546937910.143 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937910.144 * * [misc]simplify: iters left: 6 (53 enodes) 1546937910.162 * * [misc]simplify: iters left: 5 (143 enodes) 1546937910.211 * * [misc]simplify: iters left: 4 (493 enodes) 1546937910.590 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937910.590 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937910.590 * * * * [misc]progress: [ 756 / 5901 ] simplifiying candidate # 1546937910.590 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937910.591 * * [misc]simplify: iters left: 6 (53 enodes) 1546937910.600 * * [misc]simplify: iters left: 5 (143 enodes) 1546937910.659 * * [misc]simplify: iters left: 4 (491 enodes) 1546937911.068 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937911.068 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937911.068 * * * * [misc]progress: [ 757 / 5901 ] simplifiying candidate # 1546937911.069 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937911.069 * * [misc]simplify: iters left: 6 (47 enodes) 1546937911.078 * * [misc]simplify: iters left: 5 (123 enodes) 1546937911.123 * * [misc]simplify: iters left: 4 (410 enodes) 1546937911.985 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))))) 1546937911.985 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937911.985 * * * * [misc]progress: [ 758 / 5901 ] simplifiying candidate # 1546937911.986 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937911.986 * * [misc]simplify: iters left: 6 (52 enodes) 1546937911.995 * * [misc]simplify: iters left: 5 (137 enodes) 1546937912.047 * * [misc]simplify: iters left: 4 (434 enodes) 1546937912.408 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937912.408 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937912.408 * * * * [misc]progress: [ 759 / 5901 ] simplifiying candidate # 1546937912.408 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937912.408 * * [misc]simplify: iters left: 6 (47 enodes) 1546937912.417 * * [misc]simplify: iters left: 5 (123 enodes) 1546937912.448 * * [misc]simplify: iters left: 4 (401 enodes) 1546937912.695 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937912.695 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937912.695 * * * * [misc]progress: [ 760 / 5901 ] simplifiying candidate # 1546937912.696 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937912.696 * * [misc]simplify: iters left: 6 (52 enodes) 1546937912.713 * * [misc]simplify: iters left: 5 (137 enodes) 1546937912.739 * * [misc]simplify: iters left: 4 (434 enodes) 1546937913.054 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937913.054 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937913.054 * * * * [misc]progress: [ 761 / 5901 ] simplifiying candidate # 1546937913.054 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937913.055 * * [misc]simplify: iters left: 6 (47 enodes) 1546937913.071 * * [misc]simplify: iters left: 5 (123 enodes) 1546937913.118 * * [misc]simplify: iters left: 4 (401 enodes) 1546937913.368 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937913.369 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937913.369 * * * * [misc]progress: [ 762 / 5901 ] simplifiying candidate # 1546937913.369 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937913.370 * * [misc]simplify: iters left: 6 (52 enodes) 1546937913.388 * * [misc]simplify: iters left: 5 (137 enodes) 1546937913.438 * * [misc]simplify: iters left: 4 (461 enodes) 1546937913.784 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 1546937913.784 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937913.784 * * * * [misc]progress: [ 763 / 5901 ] simplifiying candidate # 1546937913.785 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937913.785 * * [misc]simplify: iters left: 6 (53 enodes) 1546937913.803 * * [misc]simplify: iters left: 5 (144 enodes) 1546937913.856 * * [misc]simplify: iters left: 4 (492 enodes) 1546937914.256 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937914.257 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937914.257 * * * * [misc]progress: [ 764 / 5901 ] simplifiying candidate # 1546937914.257 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937914.257 * * [misc]simplify: iters left: 6 (53 enodes) 1546937914.267 * * [misc]simplify: iters left: 5 (144 enodes) 1546937914.310 * * [misc]simplify: iters left: 4 (490 enodes) 1546937914.662 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937914.662 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937914.662 * * * * [misc]progress: [ 765 / 5901 ] simplifiying candidate # 1546937914.663 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937914.663 * * [misc]simplify: iters left: 6 (47 enodes) 1546937914.672 * * [misc]simplify: iters left: 5 (124 enodes) 1546937914.713 * * [misc]simplify: iters left: 4 (409 enodes) 1546937914.987 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937914.987 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937914.987 * * * * [misc]progress: [ 766 / 5901 ] simplifiying candidate # 1546937914.988 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937914.988 * * [misc]simplify: iters left: 6 (52 enodes) 1546937915.004 * * [misc]simplify: iters left: 5 (138 enodes) 1546937915.030 * * [misc]simplify: iters left: 4 (433 enodes) 1546937915.296 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937915.296 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937915.297 * * * * [misc]progress: [ 767 / 5901 ] simplifiying candidate # 1546937915.298 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937915.298 * * [misc]simplify: iters left: 6 (47 enodes) 1546937915.306 * * [misc]simplify: iters left: 5 (124 enodes) 1546937915.331 * * [misc]simplify: iters left: 4 (400 enodes) 1546937915.609 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937915.609 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937915.609 * * * * [misc]progress: [ 768 / 5901 ] simplifiying candidate # 1546937915.610 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937915.610 * * [misc]simplify: iters left: 6 (52 enodes) 1546937915.619 * * [misc]simplify: iters left: 5 (138 enodes) 1546937915.648 * * [misc]simplify: iters left: 4 (433 enodes) 1546937915.917 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937915.917 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937915.917 * * * * [misc]progress: [ 769 / 5901 ] simplifiying candidate # 1546937915.917 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937915.918 * * [misc]simplify: iters left: 6 (47 enodes) 1546937915.926 * * [misc]simplify: iters left: 5 (124 enodes) 1546937915.954 * * [misc]simplify: iters left: 4 (400 enodes) 1546937916.201 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937916.201 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937916.201 * * * * [misc]progress: [ 770 / 5901 ] simplifiying candidate # 1546937916.201 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937916.201 * * [misc]simplify: iters left: 6 (52 enodes) 1546937916.222 * * [misc]simplify: iters left: 5 (137 enodes) 1546937916.276 * * [misc]simplify: iters left: 4 (463 enodes) 1546937916.696 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 1546937916.697 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937916.697 * * * * [misc]progress: [ 771 / 5901 ] simplifiying candidate # 1546937916.697 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937916.697 * * [misc]simplify: iters left: 6 (53 enodes) 1546937916.707 * * [misc]simplify: iters left: 5 (144 enodes) 1546937916.749 * * [misc]simplify: iters left: 4 (494 enodes) 1546937917.199 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937917.199 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937917.199 * * * * [misc]progress: [ 772 / 5901 ] simplifiying candidate # 1546937917.200 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937917.200 * * [misc]simplify: iters left: 6 (53 enodes) 1546937917.219 * * [misc]simplify: iters left: 5 (144 enodes) 1546937917.275 * * [misc]simplify: iters left: 4 (492 enodes) 1546937917.676 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937917.676 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937917.676 * * * * [misc]progress: [ 773 / 5901 ] simplifiying candidate # 1546937917.676 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937917.677 * * [misc]simplify: iters left: 6 (47 enodes) 1546937917.692 * * [misc]simplify: iters left: 5 (124 enodes) 1546937917.742 * * [misc]simplify: iters left: 4 (411 enodes) 1546937918.041 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937918.041 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937918.041 * * * * [misc]progress: [ 774 / 5901 ] simplifiying candidate # 1546937918.041 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937918.042 * * [misc]simplify: iters left: 6 (52 enodes) 1546937918.060 * * [misc]simplify: iters left: 5 (138 enodes) 1546937918.111 * * [misc]simplify: iters left: 4 (435 enodes) 1546937918.423 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937918.423 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937918.423 * * * * [misc]progress: [ 775 / 5901 ] simplifiying candidate # 1546937918.423 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937918.424 * * [misc]simplify: iters left: 6 (47 enodes) 1546937918.440 * * [misc]simplify: iters left: 5 (124 enodes) 1546937918.472 * * [misc]simplify: iters left: 4 (402 enodes) 1546937918.728 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937918.728 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937918.728 * * * * [misc]progress: [ 776 / 5901 ] simplifiying candidate # 1546937918.729 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937918.729 * * [misc]simplify: iters left: 6 (52 enodes) 1546937918.738 * * [misc]simplify: iters left: 5 (138 enodes) 1546937918.792 * * [misc]simplify: iters left: 4 (435 enodes) 1546937919.104 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937919.105 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937919.105 * * * * [misc]progress: [ 777 / 5901 ] simplifiying candidate # 1546937919.105 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937919.106 * * [misc]simplify: iters left: 6 (47 enodes) 1546937919.118 * * [misc]simplify: iters left: 5 (124 enodes) 1546937919.143 * * [misc]simplify: iters left: 4 (402 enodes) 1546937919.327 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937919.327 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937919.327 * * * * [misc]progress: [ 778 / 5901 ] simplifiying candidate # 1546937919.328 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937919.328 * * [misc]simplify: iters left: 6 (52 enodes) 1546937919.337 * * [misc]simplify: iters left: 5 (137 enodes) 1546937919.380 * * [misc]simplify: iters left: 4 (494 enodes) 1546937919.908 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937919.908 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937919.908 * * * * [misc]progress: [ 779 / 5901 ] simplifiying candidate # 1546937919.909 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937919.909 * * [misc]simplify: iters left: 6 (53 enodes) 1546937919.928 * * [misc]simplify: iters left: 5 (144 enodes) 1546937920.004 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937920.004 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937920.005 * * * * [misc]progress: [ 780 / 5901 ] simplifiying candidate # 1546937920.005 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937920.006 * * [misc]simplify: iters left: 6 (53 enodes) 1546937920.024 * * [misc]simplify: iters left: 5 (144 enodes) 1546937920.087 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546937920.087 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937920.088 * * * * [misc]progress: [ 781 / 5901 ] simplifiying candidate # 1546937920.088 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937920.088 * * [misc]simplify: iters left: 6 (47 enodes) 1546937920.097 * * [misc]simplify: iters left: 5 (124 enodes) 1546937920.128 * * [misc]simplify: iters left: 4 (442 enodes) 1546937920.429 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937920.430 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937920.431 * * * * [misc]progress: [ 782 / 5901 ] simplifiying candidate # 1546937920.431 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937920.432 * * [misc]simplify: iters left: 6 (52 enodes) 1546937920.448 * * [misc]simplify: iters left: 5 (138 enodes) 1546937920.494 * * [misc]simplify: iters left: 4 (466 enodes) 1546937920.888 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (- phi1 phi2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937920.888 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (- phi1 phi2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937920.888 * * * * [misc]progress: [ 783 / 5901 ] simplifiying candidate # 1546937920.888 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937920.889 * * [misc]simplify: iters left: 6 (47 enodes) 1546937920.905 * * [misc]simplify: iters left: 5 (124 enodes) 1546937920.942 * * [misc]simplify: iters left: 4 (433 enodes) 1546937921.235 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546937921.235 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937921.235 * * * * [misc]progress: [ 784 / 5901 ] simplifiying candidate # 1546937921.235 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937921.236 * * [misc]simplify: iters left: 6 (52 enodes) 1546937921.253 * * [misc]simplify: iters left: 5 (138 enodes) 1546937921.287 * * [misc]simplify: iters left: 4 (466 enodes) 1546937921.608 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937921.608 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937921.608 * * * * [misc]progress: [ 785 / 5901 ] simplifiying candidate # 1546937921.609 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937921.609 * * [misc]simplify: iters left: 6 (47 enodes) 1546937921.621 * * [misc]simplify: iters left: 5 (124 enodes) 1546937921.647 * * [misc]simplify: iters left: 4 (433 enodes) 1546937921.962 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546937921.962 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937921.962 * * * * [misc]progress: [ 786 / 5901 ] simplifiying candidate # 1546937921.962 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937921.962 * * [misc]simplify: iters left: 6 (48 enodes) 1546937921.974 * * [misc]simplify: iters left: 5 (121 enodes) 1546937922.020 * * [misc]simplify: iters left: 4 (411 enodes) 1546937922.329 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937922.330 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937922.330 * * * * [misc]progress: [ 787 / 5901 ] simplifiying candidate # 1546937922.330 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937922.331 * * [misc]simplify: iters left: 6 (49 enodes) 1546937922.346 * * [misc]simplify: iters left: 5 (128 enodes) 1546937922.375 * * [misc]simplify: iters left: 4 (442 enodes) 1546937922.638 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) 1546937922.638 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937922.638 * * * * [misc]progress: [ 788 / 5901 ] simplifiying candidate # 1546937922.639 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937922.639 * * [misc]simplify: iters left: 6 (49 enodes) 1546937922.656 * * [misc]simplify: iters left: 5 (128 enodes) 1546937922.690 * * [misc]simplify: iters left: 4 (440 enodes) 1546937923.034 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) 1546937923.034 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937923.034 * * * * [misc]progress: [ 789 / 5901 ] simplifiying candidate # 1546937923.035 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937923.035 * * [misc]simplify: iters left: 6 (43 enodes) 1546937923.042 * * [misc]simplify: iters left: 5 (107 enodes) 1546937923.066 * * [misc]simplify: iters left: 4 (357 enodes) 1546937923.285 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 1546937923.285 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937923.286 * * * * [misc]progress: [ 790 / 5901 ] simplifiying candidate # 1546937923.286 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937923.286 * * [misc]simplify: iters left: 6 (48 enodes) 1546937923.297 * * [misc]simplify: iters left: 5 (121 enodes) 1546937923.338 * * [misc]simplify: iters left: 4 (375 enodes) 1546937923.623 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937923.623 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937923.624 * * * * [misc]progress: [ 791 / 5901 ] simplifiying candidate # 1546937923.624 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937923.625 * * [misc]simplify: iters left: 6 (43 enodes) 1546937923.641 * * [misc]simplify: iters left: 5 (107 enodes) 1546937923.668 * * [misc]simplify: iters left: 4 (342 enodes) 1546937923.869 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) 1546937923.870 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937923.870 * * * * [misc]progress: [ 792 / 5901 ] simplifiying candidate # 1546937923.870 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937923.870 * * [misc]simplify: iters left: 6 (48 enodes) 1546937923.879 * * [misc]simplify: iters left: 5 (121 enodes) 1546937923.910 * * [misc]simplify: iters left: 4 (375 enodes) 1546937924.152 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937924.152 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937924.152 * * * * [misc]progress: [ 793 / 5901 ] simplifiying candidate # 1546937924.152 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937924.153 * * [misc]simplify: iters left: 6 (43 enodes) 1546937924.163 * * [misc]simplify: iters left: 5 (107 enodes) 1546937924.198 * * [misc]simplify: iters left: 4 (342 enodes) 1546937924.392 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) 1546937924.392 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937924.393 * * * * [misc]progress: [ 794 / 5901 ] simplifiying candidate # 1546937924.393 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937924.394 * * [misc]simplify: iters left: 6 (52 enodes) 1546937924.412 * * [misc]simplify: iters left: 5 (135 enodes) 1546937924.444 * * [misc]simplify: iters left: 4 (447 enodes) 1546937924.860 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) 1546937924.861 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937924.861 * * * * [misc]progress: [ 795 / 5901 ] simplifiying candidate # 1546937924.861 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937924.861 * * [misc]simplify: iters left: 6 (53 enodes) 1546937924.875 * * [misc]simplify: iters left: 5 (142 enodes) 1546937924.902 * * [misc]simplify: iters left: 4 (480 enodes) 1546937925.286 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937925.286 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (+ lambda2 lambda1) (cos (/ (+ phi2 phi1) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937925.286 * * * * [misc]progress: [ 796 / 5901 ] simplifiying candidate # 1546937925.286 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937925.286 * * [misc]simplify: iters left: 6 (53 enodes) 1546937925.297 * * [misc]simplify: iters left: 5 (142 enodes) 1546937925.337 * * [misc]simplify: iters left: 4 (478 enodes) 1546937925.791 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937925.791 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937925.791 * * * * [misc]progress: [ 797 / 5901 ] simplifiying candidate # 1546937925.791 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937925.791 * * [misc]simplify: iters left: 6 (47 enodes) 1546937925.801 * * [misc]simplify: iters left: 5 (121 enodes) 1546937925.825 * * [misc]simplify: iters left: 4 (397 enodes) 1546937926.054 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937926.054 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937926.054 * * * * [misc]progress: [ 798 / 5901 ] simplifiying candidate # 1546937926.055 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937926.056 * * [misc]simplify: iters left: 6 (52 enodes) 1546937926.074 * * [misc]simplify: iters left: 5 (135 enodes) 1546937926.124 * * [misc]simplify: iters left: 4 (415 enodes) 1546937926.384 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937926.385 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937926.385 * * * * [misc]progress: [ 799 / 5901 ] simplifiying candidate # 1546937926.385 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937926.385 * * [misc]simplify: iters left: 6 (47 enodes) 1546937926.396 * * [misc]simplify: iters left: 5 (122 enodes) 1546937926.428 * * [misc]simplify: iters left: 4 (388 enodes) 1546937926.660 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) 1546937926.660 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937926.661 * * * * [misc]progress: [ 800 / 5901 ] simplifiying candidate # 1546937926.661 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937926.662 * * [misc]simplify: iters left: 6 (52 enodes) 1546937926.680 * * [misc]simplify: iters left: 5 (135 enodes) 1546937926.716 * * [misc]simplify: iters left: 4 (415 enodes) 1546937926.952 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937926.952 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937926.952 * * * * [misc]progress: [ 801 / 5901 ] simplifiying candidate # 1546937926.952 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937926.953 * * [misc]simplify: iters left: 6 (47 enodes) 1546937926.963 * * [misc]simplify: iters left: 5 (122 enodes) 1546937926.993 * * [misc]simplify: iters left: 4 (388 enodes) 1546937927.246 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) 1546937927.246 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937927.246 * * * * [misc]progress: [ 802 / 5901 ] simplifiying candidate # 1546937927.246 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937927.247 * * [misc]simplify: iters left: 6 (52 enodes) 1546937927.256 * * [misc]simplify: iters left: 5 (137 enodes) 1546937927.296 * * [misc]simplify: iters left: 4 (461 enodes) 1546937927.605 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 1546937927.606 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937927.606 * * * * [misc]progress: [ 803 / 5901 ] simplifiying candidate # 1546937927.606 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937927.607 * * [misc]simplify: iters left: 6 (53 enodes) 1546937927.625 * * [misc]simplify: iters left: 5 (144 enodes) 1546937927.668 * * [misc]simplify: iters left: 4 (492 enodes) 1546937928.018 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937928.018 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937928.019 * * * * [misc]progress: [ 804 / 5901 ] simplifiying candidate # 1546937928.019 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937928.020 * * [misc]simplify: iters left: 6 (53 enodes) 1546937928.042 * * [misc]simplify: iters left: 5 (144 enodes) 1546937928.087 * * [misc]simplify: iters left: 4 (490 enodes) 1546937928.461 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937928.462 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937928.462 * * * * [misc]progress: [ 805 / 5901 ] simplifiying candidate # 1546937928.462 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937928.462 * * [misc]simplify: iters left: 6 (47 enodes) 1546937928.470 * * [misc]simplify: iters left: 5 (124 enodes) 1546937928.496 * * [misc]simplify: iters left: 4 (409 enodes) 1546937928.760 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937928.761 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937928.761 * * * * [misc]progress: [ 806 / 5901 ] simplifiying candidate # 1546937928.761 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937928.761 * * [misc]simplify: iters left: 6 (52 enodes) 1546937928.770 * * [misc]simplify: iters left: 5 (138 enodes) 1546937928.825 * * [misc]simplify: iters left: 4 (433 enodes) 1546937929.129 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546937929.129 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937929.129 * * * * [misc]progress: [ 807 / 5901 ] simplifiying candidate # 1546937929.129 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937929.130 * * [misc]simplify: iters left: 6 (47 enodes) 1546937929.146 * * [misc]simplify: iters left: 5 (124 enodes) 1546937929.186 * * [misc]simplify: iters left: 4 (400 enodes) 1546937929.430 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) 1546937929.430 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937929.431 * * * * [misc]progress: [ 808 / 5901 ] simplifiying candidate # 1546937929.431 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937929.432 * * [misc]simplify: iters left: 6 (52 enodes) 1546937929.441 * * [misc]simplify: iters left: 5 (138 enodes) 1546937929.475 * * [misc]simplify: iters left: 4 (433 enodes) 1546937929.796 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546937929.796 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937929.797 * * * * [misc]progress: [ 809 / 5901 ] simplifiying candidate # 1546937929.797 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937929.798 * * [misc]simplify: iters left: 6 (47 enodes) 1546937929.814 * * [misc]simplify: iters left: 5 (124 enodes) 1546937929.866 * * [misc]simplify: iters left: 4 (400 enodes) 1546937930.125 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) 1546937930.125 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937930.125 * * * * [misc]progress: [ 810 / 5901 ] simplifiying candidate # 1546937930.125 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937930.126 * * [misc]simplify: iters left: 6 (48 enodes) 1546937930.134 * * [misc]simplify: iters left: 5 (124 enodes) 1546937930.166 * * [misc]simplify: iters left: 4 (423 enodes) 1546937930.547 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 1546937930.549 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937930.549 * * * * [misc]progress: [ 811 / 5901 ] simplifiying candidate # 1546937930.549 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937930.550 * * [misc]simplify: iters left: 6 (49 enodes) 1546937930.567 * * [misc]simplify: iters left: 5 (131 enodes) 1546937930.621 * * [misc]simplify: iters left: 4 (454 enodes) 1546937930.943 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 1546937930.943 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937930.943 * * * * [misc]progress: [ 812 / 5901 ] simplifiying candidate # 1546937930.944 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937930.944 * * [misc]simplify: iters left: 6 (49 enodes) 1546937930.954 * * [misc]simplify: iters left: 5 (131 enodes) 1546937930.988 * * [misc]simplify: iters left: 4 (452 enodes) 1546937931.339 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2)))))) 1546937931.339 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (- phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937931.339 * * * * [misc]progress: [ 813 / 5901 ] simplifiying candidate # 1546937931.339 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937931.339 * * [misc]simplify: iters left: 6 (43 enodes) 1546937931.347 * * [misc]simplify: iters left: 5 (111 enodes) 1546937931.380 * * [misc]simplify: iters left: 4 (371 enodes) 1546937931.594 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) 1546937931.594 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937931.594 * * * * [misc]progress: [ 814 / 5901 ] simplifiying candidate # 1546937931.594 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937931.595 * * [misc]simplify: iters left: 6 (48 enodes) 1546937931.603 * * [misc]simplify: iters left: 5 (125 enodes) 1546937931.649 * * [misc]simplify: iters left: 4 (395 enodes) 1546937931.940 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937931.940 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937931.941 * * * * [misc]progress: [ 815 / 5901 ] simplifiying candidate # 1546937931.941 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937931.941 * * [misc]simplify: iters left: 6 (43 enodes) 1546937931.952 * * [misc]simplify: iters left: 5 (111 enodes) 1546937931.979 * * [misc]simplify: iters left: 4 (362 enodes) 1546937932.198 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937932.198 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937932.198 * * * * [misc]progress: [ 816 / 5901 ] simplifiying candidate # 1546937932.199 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937932.200 * * [misc]simplify: iters left: 6 (48 enodes) 1546937932.218 * * [misc]simplify: iters left: 5 (125 enodes) 1546937932.247 * * [misc]simplify: iters left: 4 (395 enodes) 1546937932.476 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937932.476 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937932.476 * * * * [misc]progress: [ 817 / 5901 ] simplifiying candidate # 1546937932.476 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937932.477 * * [misc]simplify: iters left: 6 (43 enodes) 1546937932.492 * * [misc]simplify: iters left: 5 (111 enodes) 1546937932.526 * * [misc]simplify: iters left: 4 (362 enodes) 1546937932.735 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937932.735 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937932.735 * * * * [misc]progress: [ 818 / 5901 ] simplifiying candidate # 1546937932.735 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937932.736 * * [misc]simplify: iters left: 6 (51 enodes) 1546937932.745 * * [misc]simplify: iters left: 5 (131 enodes) 1546937932.794 * * [misc]simplify: iters left: 4 (459 enodes) 1546937933.186 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) 1546937933.187 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937933.187 * * * * [misc]progress: [ 819 / 5901 ] simplifiying candidate # 1546937933.187 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937933.188 * * [misc]simplify: iters left: 6 (52 enodes) 1546937933.206 * * [misc]simplify: iters left: 5 (138 enodes) 1546937933.253 * * [misc]simplify: iters left: 4 (490 enodes) 1546937933.676 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) 1546937933.677 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937933.677 * * * * [misc]progress: [ 820 / 5901 ] simplifiying candidate # 1546937933.677 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937933.677 * * [misc]simplify: iters left: 6 (52 enodes) 1546937933.687 * * [misc]simplify: iters left: 5 (138 enodes) 1546937933.723 * * [misc]simplify: iters left: 4 (488 enodes) 1546937934.121 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937934.121 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937934.121 * * * * [misc]progress: [ 821 / 5901 ] simplifiying candidate # 1546937934.121 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937934.122 * * [misc]simplify: iters left: 6 (46 enodes) 1546937934.132 * * [misc]simplify: iters left: 5 (118 enodes) 1546937934.162 * * [misc]simplify: iters left: 4 (407 enodes) 1546937934.475 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) 1546937934.475 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937934.475 * * * * [misc]progress: [ 822 / 5901 ] simplifiying candidate # 1546937934.475 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937934.476 * * [misc]simplify: iters left: 6 (51 enodes) 1546937934.494 * * [misc]simplify: iters left: 5 (132 enodes) 1546937934.521 * * [misc]simplify: iters left: 4 (431 enodes) 1546937934.887 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 1546937934.887 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937934.887 * * * * [misc]progress: [ 823 / 5901 ] simplifiying candidate # 1546937934.888 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937934.888 * * [misc]simplify: iters left: 6 (46 enodes) 1546937934.904 * * [misc]simplify: iters left: 5 (118 enodes) 1546937934.951 * * [misc]simplify: iters left: 4 (398 enodes) 1546937935.302 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (* (* (- phi1 phi2) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) 1546937935.302 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (+ phi2 phi1) (* (* (- phi1 phi2) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937935.302 * * * * [misc]progress: [ 824 / 5901 ] simplifiying candidate # 1546937935.302 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937935.303 * * [misc]simplify: iters left: 6 (51 enodes) 1546937935.315 * * [misc]simplify: iters left: 5 (132 enodes) 1546937935.340 * * [misc]simplify: iters left: 4 (431 enodes) 1546937935.649 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 1546937935.649 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937935.650 * * * * [misc]progress: [ 825 / 5901 ] simplifiying candidate # 1546937935.650 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937935.651 * * [misc]simplify: iters left: 6 (46 enodes) 1546937935.666 * * [misc]simplify: iters left: 5 (118 enodes) 1546937935.726 * * [misc]simplify: iters left: 4 (398 enodes) 1546937936.051 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) 1546937936.051 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937936.051 * * * * [misc]progress: [ 826 / 5901 ] simplifiying candidate # 1546937936.052 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937936.052 * * [misc]simplify: iters left: 6 (50 enodes) 1546937936.074 * * [misc]simplify: iters left: 5 (129 enodes) 1546937936.121 * * [misc]simplify: iters left: 4 (446 enodes) 1546937936.500 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 1546937936.500 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937936.500 * * * * [misc]progress: [ 827 / 5901 ] simplifiying candidate # 1546937936.500 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937936.501 * * [misc]simplify: iters left: 6 (51 enodes) 1546937936.517 * * [misc]simplify: iters left: 5 (136 enodes) 1546937936.548 * * [misc]simplify: iters left: 4 (477 enodes) 1546937937.572 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937937.572 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937937.572 * * * * [misc]progress: [ 828 / 5901 ] simplifiying candidate # 1546937937.573 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937937.573 * * [misc]simplify: iters left: 6 (51 enodes) 1546937937.582 * * [misc]simplify: iters left: 5 (136 enodes) 1546937937.626 * * [misc]simplify: iters left: 4 (475 enodes) 1546937938.020 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937938.020 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937938.020 * * * * [misc]progress: [ 829 / 5901 ] simplifiying candidate # 1546937938.021 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937938.021 * * [misc]simplify: iters left: 6 (45 enodes) 1546937938.041 * * [misc]simplify: iters left: 5 (116 enodes) 1546937938.074 * * [misc]simplify: iters left: 4 (394 enodes) 1546937938.355 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 1546937938.355 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937938.356 * * * * [misc]progress: [ 830 / 5901 ] simplifiying candidate # 1546937938.356 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937938.357 * * [misc]simplify: iters left: 6 (50 enodes) 1546937938.374 * * [misc]simplify: iters left: 5 (130 enodes) 1546937938.421 * * [misc]simplify: iters left: 4 (425 enodes) 1546937938.665 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937938.666 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937938.666 * * * * [misc]progress: [ 831 / 5901 ] simplifiying candidate # 1546937938.666 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937938.667 * * [misc]simplify: iters left: 6 (45 enodes) 1546937938.684 * * [misc]simplify: iters left: 5 (116 enodes) 1546937938.725 * * [misc]simplify: iters left: 4 (392 enodes) 1546937938.961 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) 1546937938.961 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937938.961 * * * * [misc]progress: [ 832 / 5901 ] simplifiying candidate # 1546937938.962 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937938.962 * * [misc]simplify: iters left: 6 (50 enodes) 1546937938.974 * * [misc]simplify: iters left: 5 (130 enodes) 1546937939.015 * * [misc]simplify: iters left: 4 (425 enodes) 1546937939.309 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937939.309 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937939.309 * * * * [misc]progress: [ 833 / 5901 ] simplifiying candidate # 1546937939.309 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937939.309 * * [misc]simplify: iters left: 6 (45 enodes) 1546937939.317 * * [misc]simplify: iters left: 5 (116 enodes) 1546937939.357 * * [misc]simplify: iters left: 4 (392 enodes) 1546937939.642 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))))) 1546937939.642 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937939.643 * * * * [misc]progress: [ 834 / 5901 ] simplifiying candidate # 1546937939.643 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937939.643 * * [misc]simplify: iters left: 6 (51 enodes) 1546937939.653 * * [misc]simplify: iters left: 5 (132 enodes) 1546937939.685 * * [misc]simplify: iters left: 4 (460 enodes) 1546937940.016 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937940.016 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937940.016 * * * * [misc]progress: [ 835 / 5901 ] simplifiying candidate # 1546937940.017 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937940.018 * * [misc]simplify: iters left: 6 (52 enodes) 1546937940.037 * * [misc]simplify: iters left: 5 (139 enodes) 1546937940.087 * * [misc]simplify: iters left: 4 (491 enodes) 1546937940.526 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937940.526 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937940.526 * * * * [misc]progress: [ 836 / 5901 ] simplifiying candidate # 1546937940.526 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937940.527 * * [misc]simplify: iters left: 6 (52 enodes) 1546937940.545 * * [misc]simplify: iters left: 5 (139 enodes) 1546937940.596 * * [misc]simplify: iters left: 4 (489 enodes) 1546937941.063 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) 1546937941.063 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937941.063 * * * * [misc]progress: [ 837 / 5901 ] simplifiying candidate # 1546937941.064 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937941.064 * * [misc]simplify: iters left: 6 (46 enodes) 1546937941.080 * * [misc]simplify: iters left: 5 (119 enodes) 1546937941.111 * * [misc]simplify: iters left: 4 (408 enodes) 1546937941.360 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) 1546937941.360 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937941.360 * * * * [misc]progress: [ 838 / 5901 ] simplifiying candidate # 1546937941.361 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937941.361 * * [misc]simplify: iters left: 6 (51 enodes) 1546937941.379 * * [misc]simplify: iters left: 5 (133 enodes) 1546937941.428 * * [misc]simplify: iters left: 4 (432 enodes) 1546937941.725 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 1546937941.725 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937941.726 * * * * [misc]progress: [ 839 / 5901 ] simplifiying candidate # 1546937941.726 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937941.726 * * [misc]simplify: iters left: 6 (46 enodes) 1546937941.734 * * [misc]simplify: iters left: 5 (119 enodes) 1546937941.767 * * [misc]simplify: iters left: 4 (399 enodes) 1546937942.071 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937942.071 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937942.071 * * * * [misc]progress: [ 840 / 5901 ] simplifiying candidate # 1546937942.072 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937942.072 * * [misc]simplify: iters left: 6 (51 enodes) 1546937942.081 * * [misc]simplify: iters left: 5 (133 enodes) 1546937942.116 * * [misc]simplify: iters left: 4 (432 enodes) 1546937942.443 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) 1546937942.443 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937942.443 * * * * [misc]progress: [ 841 / 5901 ] simplifiying candidate # 1546937942.444 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937942.444 * * [misc]simplify: iters left: 6 (46 enodes) 1546937942.460 * * [misc]simplify: iters left: 5 (119 enodes) 1546937942.504 * * [misc]simplify: iters left: 4 (399 enodes) 1546937942.775 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 1546937942.776 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937942.776 * * * * [misc]progress: [ 842 / 5901 ] simplifiying candidate # 1546937942.776 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937942.777 * * [misc]simplify: iters left: 6 (52 enodes) 1546937942.795 * * [misc]simplify: iters left: 5 (137 enodes) 1546937942.849 * * [misc]simplify: iters left: 4 (496 enodes) 1546937943.336 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) 1546937943.336 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937943.337 * * * * [misc]progress: [ 843 / 5901 ] simplifiying candidate # 1546937943.337 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937943.337 * * [misc]simplify: iters left: 6 (53 enodes) 1546937943.351 * * [misc]simplify: iters left: 5 (144 enodes) 1546937943.408 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 1546937943.408 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937943.409 * * * * [misc]progress: [ 844 / 5901 ] simplifiying candidate # 1546937943.409 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937943.409 * * [misc]simplify: iters left: 6 (53 enodes) 1546937943.418 * * [misc]simplify: iters left: 5 (144 enodes) 1546937943.493 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937943.493 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937943.493 * * * * [misc]progress: [ 845 / 5901 ] simplifiying candidate # 1546937943.493 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937943.494 * * [misc]simplify: iters left: 6 (47 enodes) 1546937943.505 * * [misc]simplify: iters left: 5 (124 enodes) 1546937943.532 * * [misc]simplify: iters left: 4 (444 enodes) 1546937943.875 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937943.875 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937943.876 * * * * [misc]progress: [ 846 / 5901 ] simplifiying candidate # 1546937943.876 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937943.877 * * [misc]simplify: iters left: 6 (52 enodes) 1546937943.894 * * [misc]simplify: iters left: 5 (138 enodes) 1546937943.946 * * [misc]simplify: iters left: 4 (468 enodes) 1546937944.278 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937944.278 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937944.278 * * * * [misc]progress: [ 847 / 5901 ] simplifiying candidate # 1546937944.279 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937944.279 * * [misc]simplify: iters left: 6 (47 enodes) 1546937944.295 * * [misc]simplify: iters left: 5 (124 enodes) 1546937944.333 * * [misc]simplify: iters left: 4 (435 enodes) 1546937944.687 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937944.688 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937944.688 * * * * [misc]progress: [ 848 / 5901 ] simplifiying candidate # 1546937944.688 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937944.689 * * [misc]simplify: iters left: 6 (52 enodes) 1546937944.707 * * [misc]simplify: iters left: 5 (138 enodes) 1546937944.764 * * [misc]simplify: iters left: 4 (468 enodes) 1546937945.136 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) 1546937945.136 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937945.137 * * * * [misc]progress: [ 849 / 5901 ] simplifiying candidate # 1546937945.137 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937945.138 * * [misc]simplify: iters left: 6 (47 enodes) 1546937945.154 * * [misc]simplify: iters left: 5 (124 enodes) 1546937945.207 * * [misc]simplify: iters left: 4 (435 enodes) 1546937945.502 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937945.502 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937945.503 * * * * [misc]progress: [ 850 / 5901 ] simplifiying candidate # 1546937945.503 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937945.504 * * [misc]simplify: iters left: 6 (48 enodes) 1546937945.514 * * [misc]simplify: iters left: 5 (120 enodes) 1546937945.538 * * [misc]simplify: iters left: 4 (412 enodes) 1546937945.847 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937945.847 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937945.847 * * * * [misc]progress: [ 851 / 5901 ] simplifiying candidate # 1546937945.847 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937945.848 * * [misc]simplify: iters left: 6 (49 enodes) 1546937945.856 * * [misc]simplify: iters left: 5 (127 enodes) 1546937945.881 * * [misc]simplify: iters left: 4 (443 enodes) 1546937946.260 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) 1546937946.261 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937946.261 * * * * [misc]progress: [ 852 / 5901 ] simplifiying candidate # 1546937946.261 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937946.262 * * [misc]simplify: iters left: 6 (49 enodes) 1546937946.279 * * [misc]simplify: iters left: 5 (127 enodes) 1546937946.326 * * [misc]simplify: iters left: 4 (441 enodes) 1546937946.738 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) 1546937946.739 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937946.739 * * * * [misc]progress: [ 853 / 5901 ] simplifiying candidate # 1546937946.739 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937946.739 * * [misc]simplify: iters left: 6 (43 enodes) 1546937946.747 * * [misc]simplify: iters left: 5 (106 enodes) 1546937946.770 * * [misc]simplify: iters left: 4 (358 enodes) 1546937947.005 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))))) 1546937947.005 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1)))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (- phi1 phi2) (+ phi2 phi1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937947.005 * * * * [misc]progress: [ 854 / 5901 ] simplifiying candidate # 1546937947.006 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937947.006 * * [misc]simplify: iters left: 6 (48 enodes) 1546937947.021 * * [misc]simplify: iters left: 5 (120 enodes) 1546937947.063 * * [misc]simplify: iters left: 4 (376 enodes) 1546937947.280 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937947.281 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937947.281 * * * * [misc]progress: [ 855 / 5901 ] simplifiying candidate # 1546937947.281 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937947.281 * * [misc]simplify: iters left: 6 (43 enodes) 1546937947.290 * * [misc]simplify: iters left: 5 (106 enodes) 1546937947.332 * * [misc]simplify: iters left: 4 (343 enodes) 1546937947.549 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937947.550 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937947.550 * * * * [misc]progress: [ 856 / 5901 ] simplifiying candidate # 1546937947.550 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937947.550 * * [misc]simplify: iters left: 6 (48 enodes) 1546937947.559 * * [misc]simplify: iters left: 5 (120 enodes) 1546937947.588 * * [misc]simplify: iters left: 4 (376 enodes) 1546937947.787 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937947.787 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (cbrt (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937947.787 * * * * [misc]progress: [ 857 / 5901 ] simplifiying candidate # 1546937947.787 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937947.788 * * [misc]simplify: iters left: 6 (43 enodes) 1546937947.798 * * [misc]simplify: iters left: 5 (106 enodes) 1546937947.818 * * [misc]simplify: iters left: 4 (343 enodes) 1546937947.994 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937947.994 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937947.994 * * * * [misc]progress: [ 858 / 5901 ] simplifiying candidate # 1546937947.995 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937947.995 * * [misc]simplify: iters left: 6 (52 enodes) 1546937948.008 * * [misc]simplify: iters left: 5 (135 enodes) 1546937948.033 * * [misc]simplify: iters left: 4 (449 enodes) 1546937948.408 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 1546937948.408 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937948.409 * * * * [misc]progress: [ 859 / 5901 ] simplifiying candidate # 1546937948.409 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937948.409 * * [misc]simplify: iters left: 6 (53 enodes) 1546937948.419 * * [misc]simplify: iters left: 5 (142 enodes) 1546937948.450 * * [misc]simplify: iters left: 4 (480 enodes) 1546937948.941 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 1546937948.941 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937948.941 * * * * [misc]progress: [ 860 / 5901 ] simplifiying candidate # 1546937948.941 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937948.942 * * [misc]simplify: iters left: 6 (53 enodes) 1546937948.951 * * [misc]simplify: iters left: 5 (142 enodes) 1546937948.978 * * [misc]simplify: iters left: 4 (478 enodes) 1546937949.471 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937949.471 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937949.471 * * * * [misc]progress: [ 861 / 5901 ] simplifiying candidate # 1546937949.472 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937949.472 * * [misc]simplify: iters left: 6 (47 enodes) 1546937949.480 * * [misc]simplify: iters left: 5 (121 enodes) 1546937949.508 * * [misc]simplify: iters left: 4 (399 enodes) 1546937949.800 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937949.800 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937949.800 * * * * [misc]progress: [ 862 / 5901 ] simplifiying candidate # 1546937949.801 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937949.801 * * [misc]simplify: iters left: 6 (52 enodes) 1546937949.811 * * [misc]simplify: iters left: 5 (135 enodes) 1546937949.845 * * [misc]simplify: iters left: 4 (417 enodes) 1546937950.167 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546937950.167 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937950.167 * * * * [misc]progress: [ 863 / 5901 ] simplifiying candidate # 1546937950.168 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937950.168 * * [misc]simplify: iters left: 6 (47 enodes) 1546937950.185 * * [misc]simplify: iters left: 5 (122 enodes) 1546937950.228 * * [misc]simplify: iters left: 4 (390 enodes) 1546937950.486 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937950.486 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937950.486 * * * * [misc]progress: [ 864 / 5901 ] simplifiying candidate # 1546937950.487 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937950.487 * * [misc]simplify: iters left: 6 (52 enodes) 1546937950.497 * * [misc]simplify: iters left: 5 (135 enodes) 1546937950.522 * * [misc]simplify: iters left: 4 (417 enodes) 1546937950.835 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546937950.835 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937950.835 * * * * [misc]progress: [ 865 / 5901 ] simplifiying candidate # 1546937950.836 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937950.837 * * [misc]simplify: iters left: 6 (47 enodes) 1546937950.859 * * [misc]simplify: iters left: 5 (122 enodes) 1546937950.901 * * [misc]simplify: iters left: 4 (390 enodes) 1546937951.198 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937951.198 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937951.198 * * * * [misc]progress: [ 866 / 5901 ] simplifiying candidate # 1546937951.199 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937951.200 * * [misc]simplify: iters left: 6 (52 enodes) 1546937951.211 * * [misc]simplify: iters left: 5 (136 enodes) 1546937951.239 * * [misc]simplify: iters left: 4 (462 enodes) 1546937951.627 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 1546937951.627 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (- (pow phi1 3) (pow phi2 3)))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937951.627 * * * * [misc]progress: [ 867 / 5901 ] simplifiying candidate # 1546937951.628 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937951.628 * * [misc]simplify: iters left: 6 (53 enodes) 1546937951.648 * * [misc]simplify: iters left: 5 (143 enodes) 1546937951.704 * * [misc]simplify: iters left: 4 (493 enodes) 1546937952.158 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937952.158 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937952.158 * * * * [misc]progress: [ 868 / 5901 ] simplifiying candidate # 1546937952.158 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937952.158 * * [misc]simplify: iters left: 6 (53 enodes) 1546937952.172 * * [misc]simplify: iters left: 5 (143 enodes) 1546937952.204 * * [misc]simplify: iters left: 4 (491 enodes) 1546937952.591 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937952.591 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937952.591 * * * * [misc]progress: [ 869 / 5901 ] simplifiying candidate # 1546937952.591 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937952.592 * * [misc]simplify: iters left: 6 (47 enodes) 1546937952.608 * * [misc]simplify: iters left: 5 (123 enodes) 1546937952.655 * * [misc]simplify: iters left: 4 (410 enodes) 1546937952.986 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937952.986 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937952.987 * * * * [misc]progress: [ 870 / 5901 ] simplifiying candidate # 1546937952.987 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937952.987 * * [misc]simplify: iters left: 6 (52 enodes) 1546937952.996 * * [misc]simplify: iters left: 5 (137 enodes) 1546937953.032 * * [misc]simplify: iters left: 4 (434 enodes) 1546937953.295 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 1546937953.295 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937953.296 * * * * [misc]progress: [ 871 / 5901 ] simplifiying candidate # 1546937953.296 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937953.297 * * [misc]simplify: iters left: 6 (47 enodes) 1546937953.317 * * [misc]simplify: iters left: 5 (123 enodes) 1546937953.363 * * [misc]simplify: iters left: 4 (401 enodes) 1546937953.644 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937953.644 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937953.644 * * * * [misc]progress: [ 872 / 5901 ] simplifiying candidate # 1546937953.645 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937953.645 * * [misc]simplify: iters left: 6 (52 enodes) 1546937953.664 * * [misc]simplify: iters left: 5 (137 enodes) 1546937953.696 * * [misc]simplify: iters left: 4 (434 enodes) 1546937953.939 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) 1546937953.939 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))))) (* (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937953.939 * * * * [misc]progress: [ 873 / 5901 ] simplifiying candidate # 1546937953.940 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937953.940 * * [misc]simplify: iters left: 6 (47 enodes) 1546937953.952 * * [misc]simplify: iters left: 5 (123 enodes) 1546937953.976 * * [misc]simplify: iters left: 4 (401 enodes) 1546937954.216 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937954.217 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937954.217 * * * * [misc]progress: [ 874 / 5901 ] simplifiying candidate # 1546937954.217 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937954.218 * * [misc]simplify: iters left: 6 (51 enodes) 1546937954.234 * * [misc]simplify: iters left: 5 (131 enodes) 1546937954.287 * * [misc]simplify: iters left: 4 (459 enodes) 1546937954.643 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) 1546937954.644 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937954.644 * * * * [misc]progress: [ 875 / 5901 ] simplifiying candidate # 1546937954.644 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937954.644 * * [misc]simplify: iters left: 6 (52 enodes) 1546937954.653 * * [misc]simplify: iters left: 5 (138 enodes) 1546937954.689 * * [misc]simplify: iters left: 4 (490 enodes) 1546937955.111 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) 1546937955.111 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937955.111 * * * * [misc]progress: [ 876 / 5901 ] simplifiying candidate # 1546937955.111 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937955.112 * * [misc]simplify: iters left: 6 (52 enodes) 1546937955.121 * * [misc]simplify: iters left: 5 (138 enodes) 1546937955.147 * * [misc]simplify: iters left: 4 (488 enodes) 1546937955.590 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))))))) 1546937955.590 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937955.590 * * * * [misc]progress: [ 877 / 5901 ] simplifiying candidate # 1546937955.590 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937955.590 * * [misc]simplify: iters left: 6 (46 enodes) 1546937955.598 * * [misc]simplify: iters left: 5 (118 enodes) 1546937955.621 * * [misc]simplify: iters left: 4 (407 enodes) 1546937955.864 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))))) 1546937955.864 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937955.864 * * * * [misc]progress: [ 878 / 5901 ] simplifiying candidate # 1546937955.864 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937955.864 * * [misc]simplify: iters left: 6 (51 enodes) 1546937955.873 * * [misc]simplify: iters left: 5 (132 enodes) 1546937955.901 * * [misc]simplify: iters left: 4 (431 enodes) 1546937956.190 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) 1546937956.190 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937956.190 * * * * [misc]progress: [ 879 / 5901 ] simplifiying candidate # 1546937956.190 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937956.190 * * [misc]simplify: iters left: 6 (46 enodes) 1546937956.198 * * [misc]simplify: iters left: 5 (118 enodes) 1546937956.228 * * [misc]simplify: iters left: 4 (398 enodes) 1546937956.465 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) 1546937956.466 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937956.467 * * * * [misc]progress: [ 880 / 5901 ] simplifiying candidate # 1546937956.467 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937956.467 * * [misc]simplify: iters left: 6 (51 enodes) 1546937956.476 * * [misc]simplify: iters left: 5 (132 enodes) 1546937956.505 * * [misc]simplify: iters left: 4 (431 enodes) 1546937956.802 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) 1546937956.802 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937956.802 * * * * [misc]progress: [ 881 / 5901 ] simplifiying candidate # 1546937956.802 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937956.802 * * [misc]simplify: iters left: 6 (46 enodes) 1546937956.810 * * [misc]simplify: iters left: 5 (118 enodes) 1546937956.841 * * [misc]simplify: iters left: 4 (398 enodes) 1546937957.092 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) 1546937957.093 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937957.093 * * * * [misc]progress: [ 882 / 5901 ] simplifiying candidate # 1546937957.093 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937957.093 * * [misc]simplify: iters left: 6 (48 enodes) 1546937957.102 * * [misc]simplify: iters left: 5 (123 enodes) 1546937957.136 * * [misc]simplify: iters left: 4 (424 enodes) 1546937957.488 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937957.488 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937957.488 * * * * [misc]progress: [ 883 / 5901 ] simplifiying candidate # 1546937957.488 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937957.488 * * [misc]simplify: iters left: 6 (49 enodes) 1546937957.499 * * [misc]simplify: iters left: 5 (130 enodes) 1546937957.541 * * [misc]simplify: iters left: 4 (455 enodes) 1546937957.933 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) 1546937957.933 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937957.934 * * * * [misc]progress: [ 884 / 5901 ] simplifiying candidate # 1546937957.934 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937957.935 * * [misc]simplify: iters left: 6 (49 enodes) 1546937957.946 * * [misc]simplify: iters left: 5 (130 enodes) 1546937957.981 * * [misc]simplify: iters left: 4 (453 enodes) 1546937958.307 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) 1546937958.307 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937958.308 * * * * [misc]progress: [ 885 / 5901 ] simplifiying candidate # 1546937958.308 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937958.308 * * [misc]simplify: iters left: 6 (43 enodes) 1546937958.323 * * [misc]simplify: iters left: 5 (110 enodes) 1546937958.358 * * [misc]simplify: iters left: 4 (372 enodes) 1546937958.567 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) 1546937958.567 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937958.567 * * * * [misc]progress: [ 886 / 5901 ] simplifiying candidate # 1546937958.567 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937958.568 * * [misc]simplify: iters left: 6 (48 enodes) 1546937958.583 * * [misc]simplify: iters left: 5 (124 enodes) 1546937958.610 * * [misc]simplify: iters left: 4 (396 enodes) 1546937958.916 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 1546937958.916 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937958.916 * * * * [misc]progress: [ 887 / 5901 ] simplifiying candidate # 1546937958.917 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937958.917 * * [misc]simplify: iters left: 6 (43 enodes) 1546937958.931 * * [misc]simplify: iters left: 5 (110 enodes) 1546937958.960 * * [misc]simplify: iters left: 4 (363 enodes) 1546937959.163 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))))) 1546937959.163 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937959.163 * * * * [misc]progress: [ 888 / 5901 ] simplifiying candidate # 1546937959.164 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937959.164 * * [misc]simplify: iters left: 6 (48 enodes) 1546937959.181 * * [misc]simplify: iters left: 5 (124 enodes) 1546937959.232 * * [misc]simplify: iters left: 4 (396 enodes) 1546937959.518 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 1546937959.518 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 (+ lambda2 lambda1)) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937959.519 * * * * [misc]progress: [ 889 / 5901 ] simplifiying candidate # 1546937959.519 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937959.519 * * [misc]simplify: iters left: 6 (43 enodes) 1546937959.534 * * [misc]simplify: iters left: 5 (110 enodes) 1546937959.578 * * [misc]simplify: iters left: 4 (363 enodes) 1546937959.803 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))))) 1546937959.803 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937959.803 * * * * [misc]progress: [ 890 / 5901 ] simplifiying candidate # 1546937959.804 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937959.804 * * [misc]simplify: iters left: 6 (51 enodes) 1546937959.813 * * [misc]simplify: iters left: 5 (131 enodes) 1546937959.861 * * [misc]simplify: iters left: 4 (459 enodes) 1546937960.233 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) 1546937960.233 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937960.233 * * * * [misc]progress: [ 891 / 5901 ] simplifiying candidate # 1546937960.234 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937960.234 * * [misc]simplify: iters left: 6 (52 enodes) 1546937960.252 * * [misc]simplify: iters left: 5 (138 enodes) 1546937960.307 * * [misc]simplify: iters left: 4 (490 enodes) 1546937960.701 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1)))))))) 1546937960.702 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937960.702 * * * * [misc]progress: [ 892 / 5901 ] simplifiying candidate # 1546937960.702 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937960.702 * * [misc]simplify: iters left: 6 (52 enodes) 1546937960.719 * * [misc]simplify: iters left: 5 (138 enodes) 1546937960.763 * * [misc]simplify: iters left: 4 (488 enodes) 1546937961.159 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 1546937961.160 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937961.160 * * * * [misc]progress: [ 893 / 5901 ] simplifiying candidate # 1546937961.160 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937961.161 * * [misc]simplify: iters left: 6 (46 enodes) 1546937961.178 * * [misc]simplify: iters left: 5 (118 enodes) 1546937961.202 * * [misc]simplify: iters left: 4 (407 enodes) 1546937961.459 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937961.459 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937961.459 * * * * [misc]progress: [ 894 / 5901 ] simplifiying candidate # 1546937961.460 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937961.460 * * [misc]simplify: iters left: 6 (51 enodes) 1546937961.469 * * [misc]simplify: iters left: 5 (132 enodes) 1546937961.496 * * [misc]simplify: iters left: 4 (431 enodes) 1546937961.933 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) 1546937961.934 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937961.934 * * * * [misc]progress: [ 895 / 5901 ] simplifiying candidate # 1546937961.934 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937961.935 * * [misc]simplify: iters left: 6 (46 enodes) 1546937961.950 * * [misc]simplify: iters left: 5 (118 enodes) 1546937961.995 * * [misc]simplify: iters left: 4 (398 enodes) 1546937962.770 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) 1546937962.770 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937962.770 * * * * [misc]progress: [ 896 / 5901 ] simplifiying candidate # 1546937962.771 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937962.771 * * [misc]simplify: iters left: 6 (51 enodes) 1546937962.789 * * [misc]simplify: iters left: 5 (132 enodes) 1546937962.837 * * [misc]simplify: iters left: 4 (431 enodes) 1546937963.159 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) 1546937963.159 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937963.160 * * * * [misc]progress: [ 897 / 5901 ] simplifiying candidate # 1546937963.160 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937963.160 * * [misc]simplify: iters left: 6 (46 enodes) 1546937963.175 * * [misc]simplify: iters left: 5 (118 enodes) 1546937963.217 * * [misc]simplify: iters left: 4 (398 enodes) 1546937963.581 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) 1546937963.581 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937963.582 * * * * [misc]progress: [ 898 / 5901 ] simplifiying candidate # 1546937963.582 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937963.583 * * [misc]simplify: iters left: 6 (50 enodes) 1546937963.596 * * [misc]simplify: iters left: 5 (128 enodes) 1546937963.620 * * [misc]simplify: iters left: 4 (447 enodes) 1546937963.950 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) 1546937963.950 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937963.950 * * * * [misc]progress: [ 899 / 5901 ] simplifiying candidate # 1546937963.950 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937963.951 * * [misc]simplify: iters left: 6 (51 enodes) 1546937963.969 * * [misc]simplify: iters left: 5 (135 enodes) 1546937964.024 * * [misc]simplify: iters left: 4 (478 enodes) 1546937964.430 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 1546937964.430 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937964.430 * * * * [misc]progress: [ 900 / 5901 ] simplifiying candidate # 1546937964.430 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937964.431 * * [misc]simplify: iters left: 6 (51 enodes) 1546937964.441 * * [misc]simplify: iters left: 5 (135 enodes) 1546937964.496 * * [misc]simplify: iters left: 4 (476 enodes) 1546937964.917 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937964.917 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937964.917 * * * * [misc]progress: [ 901 / 5901 ] simplifiying candidate # 1546937964.918 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937964.918 * * [misc]simplify: iters left: 6 (45 enodes) 1546937964.926 * * [misc]simplify: iters left: 5 (115 enodes) 1546937964.949 * * [misc]simplify: iters left: 4 (395 enodes) 1546937965.280 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) 1546937965.280 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937965.280 * * * * [misc]progress: [ 902 / 5901 ] simplifiying candidate # 1546937965.281 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937965.281 * * [misc]simplify: iters left: 6 (50 enodes) 1546937965.298 * * [misc]simplify: iters left: 5 (129 enodes) 1546937965.325 * * [misc]simplify: iters left: 4 (426 enodes) 1546937965.620 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 1546937965.621 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937965.621 * * * * [misc]progress: [ 903 / 5901 ] simplifiying candidate # 1546937965.621 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937965.622 * * [misc]simplify: iters left: 6 (45 enodes) 1546937965.637 * * [misc]simplify: iters left: 5 (115 enodes) 1546937965.680 * * [misc]simplify: iters left: 4 (393 enodes) 1546937965.921 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) 1546937965.921 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937965.921 * * * * [misc]progress: [ 904 / 5901 ] simplifiying candidate # 1546937965.922 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937965.922 * * [misc]simplify: iters left: 6 (50 enodes) 1546937965.945 * * [misc]simplify: iters left: 5 (129 enodes) 1546937965.991 * * [misc]simplify: iters left: 4 (426 enodes) 1546937966.287 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 1546937966.287 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937966.288 * * * * [misc]progress: [ 905 / 5901 ] simplifiying candidate # 1546937966.288 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937966.288 * * [misc]simplify: iters left: 6 (45 enodes) 1546937966.301 * * [misc]simplify: iters left: 5 (115 enodes) 1546937966.343 * * [misc]simplify: iters left: 4 (393 enodes) 1546937966.626 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) 1546937966.627 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937966.627 * * * * [misc]progress: [ 906 / 5901 ] simplifiying candidate # 1546937966.627 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937966.627 * * [misc]simplify: iters left: 6 (52 enodes) 1546937966.636 * * [misc]simplify: iters left: 5 (138 enodes) 1546937966.689 * * [misc]simplify: iters left: 4 (495 enodes) 1546937967.106 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937967.106 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937967.106 * * * * [misc]progress: [ 907 / 5901 ] simplifiying candidate # 1546937967.107 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937967.107 * * [misc]simplify: iters left: 6 (53 enodes) 1546937967.117 * * [misc]simplify: iters left: 5 (145 enodes) 1546937967.169 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937967.169 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937967.169 * * * * [misc]progress: [ 908 / 5901 ] simplifiying candidate # 1546937967.170 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937967.170 * * [misc]simplify: iters left: 6 (53 enodes) 1546937967.187 * * [misc]simplify: iters left: 5 (145 enodes) 1546937967.227 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546937967.227 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937967.227 * * * * [misc]progress: [ 909 / 5901 ] simplifiying candidate # 1546937967.228 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937967.228 * * [misc]simplify: iters left: 6 (47 enodes) 1546937967.238 * * [misc]simplify: iters left: 5 (125 enodes) 1546937967.264 * * [misc]simplify: iters left: 4 (443 enodes) 1546937967.599 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937967.599 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937967.599 * * * * [misc]progress: [ 910 / 5901 ] simplifiying candidate # 1546937967.600 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937967.600 * * [misc]simplify: iters left: 6 (52 enodes) 1546937967.619 * * [misc]simplify: iters left: 5 (139 enodes) 1546937967.678 * * [misc]simplify: iters left: 4 (467 enodes) 1546937967.975 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937967.975 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937967.976 * * * * [misc]progress: [ 911 / 5901 ] simplifiying candidate # 1546937967.976 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937967.976 * * [misc]simplify: iters left: 6 (47 enodes) 1546937967.984 * * [misc]simplify: iters left: 5 (125 enodes) 1546937968.014 * * [misc]simplify: iters left: 4 (434 enodes) 1546937968.333 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937968.333 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937968.333 * * * * [misc]progress: [ 912 / 5901 ] simplifiying candidate # 1546937968.333 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937968.334 * * [misc]simplify: iters left: 6 (52 enodes) 1546937968.352 * * [misc]simplify: iters left: 5 (139 enodes) 1546937968.380 * * [misc]simplify: iters left: 4 (467 enodes) 1546937968.706 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937968.706 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937968.706 * * * * [misc]progress: [ 913 / 5901 ] simplifiying candidate # 1546937968.707 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937968.707 * * [misc]simplify: iters left: 6 (47 enodes) 1546937968.715 * * [misc]simplify: iters left: 5 (125 enodes) 1546937968.743 * * [misc]simplify: iters left: 4 (434 enodes) 1546937969.027 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) 1546937969.027 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937969.028 * * * * [misc]progress: [ 914 / 5901 ] simplifiying candidate # 1546937969.028 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937969.028 * * [misc]simplify: iters left: 6 (48 enodes) 1546937969.037 * * [misc]simplify: iters left: 5 (121 enodes) 1546937969.060 * * [misc]simplify: iters left: 4 (411 enodes) 1546937969.341 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546937969.341 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937969.341 * * * * [misc]progress: [ 915 / 5901 ] simplifiying candidate # 1546937969.342 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937969.342 * * [misc]simplify: iters left: 6 (49 enodes) 1546937969.359 * * [misc]simplify: iters left: 5 (128 enodes) 1546937969.407 * * [misc]simplify: iters left: 4 (442 enodes) 1546937969.757 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) 1546937969.757 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937969.757 * * * * [misc]progress: [ 916 / 5901 ] simplifiying candidate # 1546937969.758 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937969.758 * * [misc]simplify: iters left: 6 (49 enodes) 1546937969.776 * * [misc]simplify: iters left: 5 (128 enodes) 1546937969.808 * * [misc]simplify: iters left: 4 (440 enodes) 1546937970.094 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) 1546937970.094 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937970.095 * * * * [misc]progress: [ 917 / 5901 ] simplifiying candidate # 1546937970.095 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937970.095 * * [misc]simplify: iters left: 6 (43 enodes) 1546937970.109 * * [misc]simplify: iters left: 5 (107 enodes) 1546937970.131 * * [misc]simplify: iters left: 4 (357 enodes) 1546937970.358 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 1546937970.359 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937970.359 * * * * [misc]progress: [ 918 / 5901 ] simplifiying candidate # 1546937970.359 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937970.360 * * [misc]simplify: iters left: 6 (48 enodes) 1546937970.381 * * [misc]simplify: iters left: 5 (121 enodes) 1546937970.425 * * [misc]simplify: iters left: 4 (375 enodes) 1546937970.685 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937970.685 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937970.685 * * * * [misc]progress: [ 919 / 5901 ] simplifiying candidate # 1546937970.685 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937970.686 * * [misc]simplify: iters left: 6 (43 enodes) 1546937970.699 * * [misc]simplify: iters left: 5 (107 enodes) 1546937970.733 * * [misc]simplify: iters left: 4 (342 enodes) 1546937970.939 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) 1546937970.939 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937970.939 * * * * [misc]progress: [ 920 / 5901 ] simplifiying candidate # 1546937970.940 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937970.940 * * [misc]simplify: iters left: 6 (48 enodes) 1546937970.957 * * [misc]simplify: iters left: 5 (121 enodes) 1546937971.001 * * [misc]simplify: iters left: 4 (375 enodes) 1546937971.258 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937971.259 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937971.259 * * * * [misc]progress: [ 921 / 5901 ] simplifiying candidate # 1546937971.259 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937971.260 * * [misc]simplify: iters left: 6 (43 enodes) 1546937971.275 * * [misc]simplify: iters left: 5 (107 enodes) 1546937971.314 * * [misc]simplify: iters left: 4 (342 enodes) 1546937971.527 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) 1546937971.528 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937971.528 * * * * [misc]progress: [ 922 / 5901 ] simplifiying candidate # 1546937971.528 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937971.528 * * [misc]simplify: iters left: 6 (52 enodes) 1546937971.541 * * [misc]simplify: iters left: 5 (136 enodes) 1546937971.566 * * [misc]simplify: iters left: 4 (448 enodes) 1546937971.945 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 1546937971.946 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937971.946 * * * * [misc]progress: [ 923 / 5901 ] simplifiying candidate # 1546937971.946 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937971.947 * * [misc]simplify: iters left: 6 (53 enodes) 1546937971.965 * * [misc]simplify: iters left: 5 (143 enodes) 1546937972.017 * * [misc]simplify: iters left: 4 (481 enodes) 1546937972.487 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937972.487 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937972.487 * * * * [misc]progress: [ 924 / 5901 ] simplifiying candidate # 1546937972.488 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937972.488 * * [misc]simplify: iters left: 6 (53 enodes) 1546937972.507 * * [misc]simplify: iters left: 5 (143 enodes) 1546937972.561 * * [misc]simplify: iters left: 4 (479 enodes) 1546937973.015 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) 1546937973.015 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937973.015 * * * * [misc]progress: [ 925 / 5901 ] simplifiying candidate # 1546937973.016 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937973.016 * * [misc]simplify: iters left: 6 (47 enodes) 1546937973.033 * * [misc]simplify: iters left: 5 (122 enodes) 1546937973.083 * * [misc]simplify: iters left: 4 (398 enodes) 1546937973.339 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546937973.339 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (- (* phi1 phi1) (* phi2 phi2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937973.339 * * * * [misc]progress: [ 926 / 5901 ] simplifiying candidate # 1546937973.342 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937973.343 * * [misc]simplify: iters left: 6 (52 enodes) 1546937973.358 * * [misc]simplify: iters left: 5 (136 enodes) 1546937973.383 * * [misc]simplify: iters left: 4 (416 enodes) 1546937973.660 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 1546937973.660 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937973.660 * * * * [misc]progress: [ 927 / 5901 ] simplifiying candidate # 1546937973.661 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937973.661 * * [misc]simplify: iters left: 6 (47 enodes) 1546937973.677 * * [misc]simplify: iters left: 5 (123 enodes) 1546937973.721 * * [misc]simplify: iters left: 4 (389 enodes) 1546937973.998 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937973.998 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937973.998 * * * * [misc]progress: [ 928 / 5901 ] simplifiying candidate # 1546937973.998 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937973.999 * * [misc]simplify: iters left: 6 (52 enodes) 1546937974.017 * * [misc]simplify: iters left: 5 (136 enodes) 1546937974.071 * * [misc]simplify: iters left: 4 (416 enodes) 1546937974.378 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 1546937974.378 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937974.378 * * * * [misc]progress: [ 929 / 5901 ] simplifiying candidate # 1546937974.378 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937974.379 * * [misc]simplify: iters left: 6 (47 enodes) 1546937974.393 * * [misc]simplify: iters left: 5 (123 enodes) 1546937974.417 * * [misc]simplify: iters left: 4 (389 enodes) 1546937974.656 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937974.656 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937974.656 * * * * [misc]progress: [ 930 / 5901 ] simplifiying candidate # 1546937974.656 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937974.657 * * [misc]simplify: iters left: 6 (52 enodes) 1546937974.674 * * [misc]simplify: iters left: 5 (137 enodes) 1546937974.707 * * [misc]simplify: iters left: 4 (461 enodes) 1546937975.081 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 1546937975.081 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937975.081 * * * * [misc]progress: [ 931 / 5901 ] simplifiying candidate # 1546937975.082 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937975.082 * * [misc]simplify: iters left: 6 (53 enodes) 1546937975.100 * * [misc]simplify: iters left: 5 (144 enodes) 1546937975.156 * * [misc]simplify: iters left: 4 (492 enodes) 1546937975.613 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 1546937975.613 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937975.613 * * * * [misc]progress: [ 932 / 5901 ] simplifiying candidate # 1546937975.614 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937975.614 * * [misc]simplify: iters left: 6 (53 enodes) 1546937975.633 * * [misc]simplify: iters left: 5 (144 enodes) 1546937975.673 * * [misc]simplify: iters left: 4 (490 enodes) 1546937976.088 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937976.088 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937976.088 * * * * [misc]progress: [ 933 / 5901 ] simplifiying candidate # 1546937976.089 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937976.089 * * [misc]simplify: iters left: 6 (47 enodes) 1546937976.098 * * [misc]simplify: iters left: 5 (124 enodes) 1546937976.124 * * [misc]simplify: iters left: 4 (409 enodes) 1546937976.367 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937976.367 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937976.367 * * * * [misc]progress: [ 934 / 5901 ] simplifiying candidate # 1546937976.368 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937976.369 * * [misc]simplify: iters left: 6 (52 enodes) 1546937976.392 * * [misc]simplify: iters left: 5 (138 enodes) 1546937976.446 * * [misc]simplify: iters left: 4 (433 enodes) 1546937976.681 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546937976.681 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937976.681 * * * * [misc]progress: [ 935 / 5901 ] simplifiying candidate # 1546937976.682 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937976.682 * * [misc]simplify: iters left: 6 (47 enodes) 1546937976.690 * * [misc]simplify: iters left: 5 (124 enodes) 1546937976.731 * * [misc]simplify: iters left: 4 (400 enodes) 1546937976.979 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) 1546937976.980 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937976.980 * * * * [misc]progress: [ 936 / 5901 ] simplifiying candidate # 1546937976.981 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937976.981 * * [misc]simplify: iters left: 6 (52 enodes) 1546937976.999 * * [misc]simplify: iters left: 5 (138 enodes) 1546937977.049 * * [misc]simplify: iters left: 4 (433 enodes) 1546937977.368 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546937977.368 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937977.368 * * * * [misc]progress: [ 937 / 5901 ] simplifiying candidate # 1546937977.368 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937977.368 * * [misc]simplify: iters left: 6 (47 enodes) 1546937977.377 * * [misc]simplify: iters left: 5 (124 enodes) 1546937977.411 * * [misc]simplify: iters left: 4 (400 enodes) 1546937977.658 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937977.659 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1)))))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937977.659 * * * * [misc]progress: [ 938 / 5901 ] simplifiying candidate # 1546937977.659 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937977.660 * * [misc]simplify: iters left: 6 (50 enodes) 1546937977.668 * * [misc]simplify: iters left: 5 (129 enodes) 1546937977.700 * * [misc]simplify: iters left: 4 (446 enodes) 1546937978.058 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937978.058 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937978.058 * * * * [misc]progress: [ 939 / 5901 ] simplifiying candidate # 1546937978.058 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937978.059 * * [misc]simplify: iters left: 6 (51 enodes) 1546937978.077 * * [misc]simplify: iters left: 5 (136 enodes) 1546937978.128 * * [misc]simplify: iters left: 4 (477 enodes) 1546937978.562 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) 1546937978.563 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937978.563 * * * * [misc]progress: [ 940 / 5901 ] simplifiying candidate # 1546937978.563 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937978.564 * * [misc]simplify: iters left: 6 (51 enodes) 1546937978.581 * * [misc]simplify: iters left: 5 (136 enodes) 1546937978.612 * * [misc]simplify: iters left: 4 (475 enodes) 1546937979.059 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937979.059 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937979.060 * * * * [misc]progress: [ 941 / 5901 ] simplifiying candidate # 1546937979.060 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937979.061 * * [misc]simplify: iters left: 6 (45 enodes) 1546937979.073 * * [misc]simplify: iters left: 5 (116 enodes) 1546937979.095 * * [misc]simplify: iters left: 4 (394 enodes) 1546937979.362 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 1546937979.362 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937979.362 * * * * [misc]progress: [ 942 / 5901 ] simplifiying candidate # 1546937979.362 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937979.363 * * [misc]simplify: iters left: 6 (50 enodes) 1546937979.372 * * [misc]simplify: iters left: 5 (130 enodes) 1546937979.416 * * [misc]simplify: iters left: 4 (425 enodes) 1546937979.682 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546937979.683 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937979.683 * * * * [misc]progress: [ 943 / 5901 ] simplifiying candidate # 1546937979.683 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937979.684 * * [misc]simplify: iters left: 6 (45 enodes) 1546937979.692 * * [misc]simplify: iters left: 5 (116 enodes) 1546937979.719 * * [misc]simplify: iters left: 4 (392 enodes) 1546937979.990 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) 1546937979.990 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937979.990 * * * * [misc]progress: [ 944 / 5901 ] simplifiying candidate # 1546937979.991 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937979.991 * * [misc]simplify: iters left: 6 (50 enodes) 1546937980.010 * * [misc]simplify: iters left: 5 (130 enodes) 1546937980.035 * * [misc]simplify: iters left: 4 (425 enodes) 1546937980.293 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546937980.294 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937980.294 * * * * [misc]progress: [ 945 / 5901 ] simplifiying candidate # 1546937980.294 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937980.295 * * [misc]simplify: iters left: 6 (45 enodes) 1546937980.310 * * [misc]simplify: iters left: 5 (116 enodes) 1546937980.353 * * [misc]simplify: iters left: 4 (392 enodes) 1546937980.635 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))))) 1546937980.635 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937980.635 * * * * [misc]progress: [ 946 / 5901 ] simplifiying candidate # 1546937980.635 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937980.635 * * [misc]simplify: iters left: 6 (51 enodes) 1546937980.644 * * [misc]simplify: iters left: 5 (131 enodes) 1546937980.684 * * [misc]simplify: iters left: 4 (459 enodes) 1546937981.098 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) 1546937981.099 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937981.099 * * * * [misc]progress: [ 947 / 5901 ] simplifiying candidate # 1546937981.099 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937981.100 * * [misc]simplify: iters left: 6 (52 enodes) 1546937981.116 * * [misc]simplify: iters left: 5 (138 enodes) 1546937981.161 * * [misc]simplify: iters left: 4 (490 enodes) 1546937981.566 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) 1546937981.566 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (cbrt (+ lambda2 lambda1)) (+ phi2 phi1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937981.567 * * * * [misc]progress: [ 948 / 5901 ] simplifiying candidate # 1546937981.567 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937981.568 * * [misc]simplify: iters left: 6 (52 enodes) 1546937981.586 * * [misc]simplify: iters left: 5 (138 enodes) 1546937981.637 * * [misc]simplify: iters left: 4 (488 enodes) 1546937982.109 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 1546937982.109 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937982.109 * * * * [misc]progress: [ 949 / 5901 ] simplifiying candidate # 1546937982.109 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937982.110 * * [misc]simplify: iters left: 6 (46 enodes) 1546937982.130 * * [misc]simplify: iters left: 5 (118 enodes) 1546937982.173 * * [misc]simplify: iters left: 4 (407 enodes) 1546937982.475 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) 1546937982.475 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (* (+ phi2 phi1) (- phi1 phi2)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937982.475 * * * * [misc]progress: [ 950 / 5901 ] simplifiying candidate # 1546937982.476 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937982.476 * * [misc]simplify: iters left: 6 (51 enodes) 1546937982.494 * * [misc]simplify: iters left: 5 (132 enodes) 1546937982.544 * * [misc]simplify: iters left: 4 (431 enodes) 1546937982.835 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) 1546937982.835 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937982.835 * * * * [misc]progress: [ 951 / 5901 ] simplifiying candidate # 1546937982.835 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937982.836 * * [misc]simplify: iters left: 6 (46 enodes) 1546937982.848 * * [misc]simplify: iters left: 5 (118 enodes) 1546937982.881 * * [misc]simplify: iters left: 4 (398 enodes) 1546937983.147 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) 1546937983.147 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1))) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937983.147 * * * * [misc]progress: [ 952 / 5901 ] simplifiying candidate # 1546937983.147 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937983.148 * * [misc]simplify: iters left: 6 (51 enodes) 1546937983.162 * * [misc]simplify: iters left: 5 (132 enodes) 1546937983.211 * * [misc]simplify: iters left: 4 (431 enodes) 1546937983.506 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) 1546937983.506 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937983.507 * * * * [misc]progress: [ 953 / 5901 ] simplifiying candidate # 1546937983.507 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937983.507 * * [misc]simplify: iters left: 6 (46 enodes) 1546937983.518 * * [misc]simplify: iters left: 5 (118 enodes) 1546937983.541 * * [misc]simplify: iters left: 4 (398 enodes) 1546937983.819 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) 1546937983.819 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937983.819 * * * * [misc]progress: [ 954 / 5901 ] simplifiying candidate # 1546937983.819 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937983.820 * * [misc]simplify: iters left: 6 (48 enodes) 1546937983.833 * * [misc]simplify: iters left: 5 (124 enodes) 1546937983.857 * * [misc]simplify: iters left: 4 (423 enodes) 1546937984.188 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 1546937984.188 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937984.188 * * * * [misc]progress: [ 955 / 5901 ] simplifiying candidate # 1546937984.188 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937984.189 * * [misc]simplify: iters left: 6 (49 enodes) 1546937984.197 * * [misc]simplify: iters left: 5 (131 enodes) 1546937984.232 * * [misc]simplify: iters left: 4 (454 enodes) 1546937984.546 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 1546937984.546 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937984.547 * * * * [misc]progress: [ 956 / 5901 ] simplifiying candidate # 1546937984.547 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937984.547 * * [misc]simplify: iters left: 6 (49 enodes) 1546937984.556 * * [misc]simplify: iters left: 5 (131 enodes) 1546937984.591 * * [misc]simplify: iters left: 4 (452 enodes) 1546937985.022 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) 1546937985.022 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937985.023 * * * * [misc]progress: [ 957 / 5901 ] simplifiying candidate # 1546937985.023 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937985.023 * * [misc]simplify: iters left: 6 (43 enodes) 1546937985.031 * * [misc]simplify: iters left: 5 (111 enodes) 1546937985.055 * * [misc]simplify: iters left: 4 (371 enodes) 1546937985.310 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) 1546937985.310 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937985.310 * * * * [misc]progress: [ 958 / 5901 ] simplifiying candidate # 1546937985.311 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937985.311 * * [misc]simplify: iters left: 6 (48 enodes) 1546937985.327 * * [misc]simplify: iters left: 5 (125 enodes) 1546937985.354 * * [misc]simplify: iters left: 4 (395 enodes) 1546937985.593 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937985.593 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937985.593 * * * * [misc]progress: [ 959 / 5901 ] simplifiying candidate # 1546937985.594 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937985.594 * * [misc]simplify: iters left: 6 (43 enodes) 1546937985.609 * * [misc]simplify: iters left: 5 (111 enodes) 1546937985.630 * * [misc]simplify: iters left: 4 (362 enodes) 1546937985.844 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937985.844 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937985.844 * * * * [misc]progress: [ 960 / 5901 ] simplifiying candidate # 1546937985.845 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937985.845 * * [misc]simplify: iters left: 6 (48 enodes) 1546937985.861 * * [misc]simplify: iters left: 5 (125 enodes) 1546937985.910 * * [misc]simplify: iters left: 4 (395 enodes) 1546937986.171 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937986.171 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937986.171 * * * * [misc]progress: [ 961 / 5901 ] simplifiying candidate # 1546937986.171 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937986.172 * * [misc]simplify: iters left: 6 (43 enodes) 1546937986.186 * * [misc]simplify: iters left: 5 (111 enodes) 1546937986.211 * * [misc]simplify: iters left: 4 (362 enodes) 1546937986.448 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937986.448 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546937986.449 * * * * [misc]progress: [ 962 / 5901 ] simplifiying candidate # 1546937986.449 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937986.450 * * [misc]simplify: iters left: 6 (51 enodes) 1546937986.467 * * [misc]simplify: iters left: 5 (131 enodes) 1546937986.526 * * [misc]simplify: iters left: 4 (459 enodes) 1546937986.898 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937986.899 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937986.899 * * * * [misc]progress: [ 963 / 5901 ] simplifiying candidate # 1546937986.899 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937986.900 * * [misc]simplify: iters left: 6 (52 enodes) 1546937986.917 * * [misc]simplify: iters left: 5 (138 enodes) 1546937986.944 * * [misc]simplify: iters left: 4 (490 enodes) 1546937987.314 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) 1546937987.314 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937987.314 * * * * [misc]progress: [ 964 / 5901 ] simplifiying candidate # 1546937987.314 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937987.314 * * [misc]simplify: iters left: 6 (52 enodes) 1546937987.324 * * [misc]simplify: iters left: 5 (138 enodes) 1546937987.365 * * [misc]simplify: iters left: 4 (488 enodes) 1546937988.314 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937988.314 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi2 phi1)) (cbrt (+ lambda2 lambda1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937988.314 * * * * [misc]progress: [ 965 / 5901 ] simplifiying candidate # 1546937988.314 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937988.315 * * [misc]simplify: iters left: 6 (46 enodes) 1546937988.324 * * [misc]simplify: iters left: 5 (118 enodes) 1546937988.353 * * [misc]simplify: iters left: 4 (407 enodes) 1546937988.647 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) 1546937988.647 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937988.648 * * * * [misc]progress: [ 966 / 5901 ] simplifiying candidate # 1546937988.648 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937988.649 * * [misc]simplify: iters left: 6 (51 enodes) 1546937988.667 * * [misc]simplify: iters left: 5 (132 enodes) 1546937988.716 * * [misc]simplify: iters left: 4 (431 enodes) 1546937989.103 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) 1546937989.103 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937989.103 * * * * [misc]progress: [ 967 / 5901 ] simplifiying candidate # 1546937989.104 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937989.104 * * [misc]simplify: iters left: 6 (46 enodes) 1546937989.112 * * [misc]simplify: iters left: 5 (118 enodes) 1546937989.156 * * [misc]simplify: iters left: 4 (398 enodes) 1546937989.459 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) 1546937989.459 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937989.459 * * * * [misc]progress: [ 968 / 5901 ] simplifiying candidate # 1546937989.459 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937989.460 * * [misc]simplify: iters left: 6 (51 enodes) 1546937989.470 * * [misc]simplify: iters left: 5 (132 enodes) 1546937989.500 * * [misc]simplify: iters left: 4 (431 enodes) 1546937989.798 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) 1546937989.799 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (* (cbrt (+ lambda2 lambda1)) (- phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937989.799 * * * * [misc]progress: [ 969 / 5901 ] simplifiying candidate # 1546937989.799 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937989.800 * * [misc]simplify: iters left: 6 (46 enodes) 1546937989.815 * * [misc]simplify: iters left: 5 (118 enodes) 1546937989.850 * * [misc]simplify: iters left: 4 (398 enodes) 1546937990.121 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) 1546937990.121 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546937990.121 * * * * [misc]progress: [ 970 / 5901 ] simplifiying candidate # 1546937990.122 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937990.122 * * [misc]simplify: iters left: 6 (52 enodes) 1546937990.152 * * [misc]simplify: iters left: 5 (138 enodes) 1546937990.205 * * [misc]simplify: iters left: 4 (497 enodes) 1546937990.667 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546937990.667 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937990.667 * * * * [misc]progress: [ 971 / 5901 ] simplifiying candidate # 1546937990.668 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937990.668 * * [misc]simplify: iters left: 6 (53 enodes) 1546937990.687 * * [misc]simplify: iters left: 5 (145 enodes) 1546937990.765 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546937990.765 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937990.766 * * * * [misc]progress: [ 972 / 5901 ] simplifiying candidate # 1546937990.766 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937990.766 * * [misc]simplify: iters left: 6 (53 enodes) 1546937990.776 * * [misc]simplify: iters left: 5 (145 enodes) 1546937990.837 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))))))) 1546937990.837 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937990.837 * * * * [misc]progress: [ 973 / 5901 ] simplifiying candidate # 1546937990.838 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937990.838 * * [misc]simplify: iters left: 6 (47 enodes) 1546937990.853 * * [misc]simplify: iters left: 5 (125 enodes) 1546937990.902 * * [misc]simplify: iters left: 4 (445 enodes) 1546937991.271 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546937991.271 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937991.271 * * * * [misc]progress: [ 974 / 5901 ] simplifiying candidate # 1546937991.271 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937991.272 * * [misc]simplify: iters left: 6 (52 enodes) 1546937991.285 * * [misc]simplify: iters left: 5 (139 enodes) 1546937991.325 * * [misc]simplify: iters left: 4 (469 enodes) 1546937991.615 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937991.615 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937991.616 * * * * [misc]progress: [ 975 / 5901 ] simplifiying candidate # 1546937991.616 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937991.616 * * [misc]simplify: iters left: 6 (47 enodes) 1546937991.624 * * [misc]simplify: iters left: 5 (125 enodes) 1546937991.652 * * [misc]simplify: iters left: 4 (436 enodes) 1546937991.979 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) 1546937991.979 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937991.979 * * * * [misc]progress: [ 976 / 5901 ] simplifiying candidate # 1546937991.979 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937991.980 * * [misc]simplify: iters left: 6 (52 enodes) 1546937991.989 * * [misc]simplify: iters left: 5 (139 enodes) 1546937992.025 * * [misc]simplify: iters left: 4 (469 enodes) 1546937992.361 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937992.361 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937992.361 * * * * [misc]progress: [ 977 / 5901 ] simplifiying candidate # 1546937992.361 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937992.361 * * [misc]simplify: iters left: 6 (47 enodes) 1546937992.370 * * [misc]simplify: iters left: 5 (125 enodes) 1546937992.408 * * [misc]simplify: iters left: 4 (436 enodes) 1546937992.758 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) 1546937992.759 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937992.759 * * * * [misc]progress: [ 978 / 5901 ] simplifiying candidate # 1546937992.759 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937992.760 * * [misc]simplify: iters left: 6 (48 enodes) 1546937992.783 * * [misc]simplify: iters left: 5 (121 enodes) 1546937992.829 * * [misc]simplify: iters left: 4 (413 enodes) 1546937993.159 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) 1546937993.159 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937993.159 * * * * [misc]progress: [ 979 / 5901 ] simplifiying candidate # 1546937993.159 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937993.160 * * [misc]simplify: iters left: 6 (49 enodes) 1546937993.173 * * [misc]simplify: iters left: 5 (128 enodes) 1546937993.226 * * [misc]simplify: iters left: 4 (444 enodes) 1546937993.555 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) 1546937993.555 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937993.555 * * * * [misc]progress: [ 980 / 5901 ] simplifiying candidate # 1546937993.556 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937993.556 * * [misc]simplify: iters left: 6 (49 enodes) 1546937993.569 * * [misc]simplify: iters left: 5 (128 enodes) 1546937993.597 * * [misc]simplify: iters left: 4 (442 enodes) 1546937993.958 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) 1546937993.959 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))) (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937993.959 * * * * [misc]progress: [ 981 / 5901 ] simplifiying candidate # 1546937993.959 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937993.960 * * [misc]simplify: iters left: 6 (43 enodes) 1546937993.975 * * [misc]simplify: iters left: 5 (107 enodes) 1546937994.017 * * [misc]simplify: iters left: 4 (359 enodes) 1546937994.223 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) 1546937994.223 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937994.224 * * * * [misc]progress: [ 982 / 5901 ] simplifiying candidate # 1546937994.224 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937994.225 * * [misc]simplify: iters left: 6 (48 enodes) 1546937994.244 * * [misc]simplify: iters left: 5 (121 enodes) 1546937994.283 * * [misc]simplify: iters left: 4 (377 enodes) 1546937994.559 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937994.559 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937994.559 * * * * [misc]progress: [ 983 / 5901 ] simplifiying candidate # 1546937994.560 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937994.560 * * [misc]simplify: iters left: 6 (43 enodes) 1546937994.575 * * [misc]simplify: iters left: 5 (107 enodes) 1546937994.620 * * [misc]simplify: iters left: 4 (344 enodes) 1546937994.843 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) 1546937994.843 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937994.843 * * * * [misc]progress: [ 984 / 5901 ] simplifiying candidate # 1546937994.844 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937994.844 * * [misc]simplify: iters left: 6 (48 enodes) 1546937994.853 * * [misc]simplify: iters left: 5 (121 enodes) 1546937994.876 * * [misc]simplify: iters left: 4 (377 enodes) 1546937995.118 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546937995.118 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (cbrt (+ lambda2 lambda1)))) (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937995.118 * * * * [misc]progress: [ 985 / 5901 ] simplifiying candidate # 1546937995.119 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937995.119 * * [misc]simplify: iters left: 6 (43 enodes) 1546937995.134 * * [misc]simplify: iters left: 5 (107 enodes) 1546937995.156 * * [misc]simplify: iters left: 4 (344 enodes) 1546937995.391 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) 1546937995.391 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda2 lambda1))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546937995.391 * * * * [misc]progress: [ 986 / 5901 ] simplifiying candidate # 1546937995.392 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937995.392 * * [misc]simplify: iters left: 6 (52 enodes) 1546937995.406 * * [misc]simplify: iters left: 5 (136 enodes) 1546937995.432 * * [misc]simplify: iters left: 4 (450 enodes) 1546937995.799 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 1546937995.799 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937995.803 * * * * [misc]progress: [ 987 / 5901 ] simplifiying candidate # 1546937995.804 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937995.804 * * [misc]simplify: iters left: 6 (53 enodes) 1546937995.823 * * [misc]simplify: iters left: 5 (143 enodes) 1546937995.879 * * [misc]simplify: iters left: 4 (483 enodes) 1546937996.293 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 1546937996.293 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937996.293 * * * * [misc]progress: [ 988 / 5901 ] simplifiying candidate # 1546937996.293 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937996.294 * * [misc]simplify: iters left: 6 (53 enodes) 1546937996.303 * * [misc]simplify: iters left: 5 (143 enodes) 1546937996.332 * * [misc]simplify: iters left: 4 (481 enodes) 1546937996.695 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937996.695 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937996.695 * * * * [misc]progress: [ 989 / 5901 ] simplifiying candidate # 1546937996.695 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937996.696 * * [misc]simplify: iters left: 6 (47 enodes) 1546937996.704 * * [misc]simplify: iters left: 5 (122 enodes) 1546937996.734 * * [misc]simplify: iters left: 4 (400 enodes) 1546937996.999 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546937996.999 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (- (* phi1 phi1) (* phi2 phi2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546937996.999 * * * * [misc]progress: [ 990 / 5901 ] simplifiying candidate # 1546937996.999 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546937997.000 * * [misc]simplify: iters left: 6 (52 enodes) 1546937997.009 * * [misc]simplify: iters left: 5 (136 enodes) 1546937997.042 * * [misc]simplify: iters left: 4 (418 enodes) 1546937997.313 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 1546937997.313 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937997.314 * * * * [misc]progress: [ 991 / 5901 ] simplifiying candidate # 1546937997.314 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937997.315 * * [misc]simplify: iters left: 6 (47 enodes) 1546937997.331 * * [misc]simplify: iters left: 5 (123 enodes) 1546937997.374 * * [misc]simplify: iters left: 4 (391 enodes) 1546937997.613 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937997.613 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937997.614 * * * * [misc]progress: [ 992 / 5901 ] simplifiying candidate # 1546937997.614 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546937997.614 * * [misc]simplify: iters left: 6 (52 enodes) 1546937997.631 * * [misc]simplify: iters left: 5 (136 enodes) 1546937997.665 * * [misc]simplify: iters left: 4 (418 enodes) 1546937997.913 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 1546937997.913 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546937997.913 * * * * [misc]progress: [ 993 / 5901 ] simplifiying candidate # 1546937997.913 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546937997.913 * * [misc]simplify: iters left: 6 (47 enodes) 1546937997.928 * * [misc]simplify: iters left: 5 (123 enodes) 1546937997.976 * * [misc]simplify: iters left: 4 (391 enodes) 1546937998.311 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546937998.311 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546937998.311 * * * * [misc]progress: [ 994 / 5901 ] simplifiying candidate # 1546937998.312 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546937998.313 * * [misc]simplify: iters left: 6 (52 enodes) 1546937998.331 * * [misc]simplify: iters left: 5 (137 enodes) 1546937998.385 * * [misc]simplify: iters left: 4 (463 enodes) 1546937998.795 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 1546937998.795 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937998.795 * * * * [misc]progress: [ 995 / 5901 ] simplifiying candidate # 1546937998.795 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937998.795 * * [misc]simplify: iters left: 6 (53 enodes) 1546937998.806 * * [misc]simplify: iters left: 5 (144 enodes) 1546937998.851 * * [misc]simplify: iters left: 4 (494 enodes) 1546937999.294 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 1546937999.294 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546937999.294 * * * * [misc]progress: [ 996 / 5901 ] simplifiying candidate # 1546937999.294 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546937999.295 * * [misc]simplify: iters left: 6 (53 enodes) 1546937999.304 * * [misc]simplify: iters left: 5 (144 enodes) 1546937999.346 * * [misc]simplify: iters left: 4 (492 enodes) 1546937999.712 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) 1546937999.712 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))))) (* (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546937999.713 * * * * [misc]progress: [ 997 / 5901 ] simplifiying candidate # 1546937999.713 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546937999.714 * * [misc]simplify: iters left: 6 (47 enodes) 1546937999.735 * * [misc]simplify: iters left: 5 (124 enodes) 1546937999.782 * * [misc]simplify: iters left: 4 (411 enodes) 1546938000.075 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546938000.075 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938000.076 * * * * [misc]progress: [ 998 / 5901 ] simplifiying candidate # 1546938000.076 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938000.076 * * [misc]simplify: iters left: 6 (52 enodes) 1546938000.094 * * [misc]simplify: iters left: 5 (138 enodes) 1546938000.145 * * [misc]simplify: iters left: 4 (435 enodes) 1546938000.496 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938000.497 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938000.497 * * * * [misc]progress: [ 999 / 5901 ] simplifiying candidate # 1546938000.497 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938000.498 * * [misc]simplify: iters left: 6 (47 enodes) 1546938000.514 * * [misc]simplify: iters left: 5 (124 enodes) 1546938000.565 * * [misc]simplify: iters left: 4 (402 enodes) 1546938000.797 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546938000.797 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938000.797 * * * * [misc]progress: [ 1000 / 5901 ] simplifiying candidate # 1546938000.797 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938000.797 * * [misc]simplify: iters left: 6 (52 enodes) 1546938000.812 * * [misc]simplify: iters left: 5 (138 enodes) 1546938000.850 * * [misc]simplify: iters left: 4 (435 enodes) 1546938001.198 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938001.198 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda2 lambda1)) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938001.199 * * * * [misc]progress: [ 1001 / 5901 ] simplifiying candidate # 1546938001.199 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938001.200 * * [misc]simplify: iters left: 6 (47 enodes) 1546938001.216 * * [misc]simplify: iters left: 5 (124 enodes) 1546938001.262 * * [misc]simplify: iters left: 4 (402 enodes) 1546938001.532 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) 1546938001.532 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (* (+ lambda2 lambda1) (+ lambda2 lambda1))) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (+ phi2 phi1))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938001.532 * * * * [misc]progress: [ 1002 / 5901 ] simplifiying candidate # 1546938001.533 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938001.533 * * [misc]simplify: iters left: 6 (51 enodes) 1546938001.542 * * [misc]simplify: iters left: 5 (132 enodes) 1546938001.586 * * [misc]simplify: iters left: 4 (460 enodes) 1546938001.913 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) 1546938001.913 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938001.913 * * * * [misc]progress: [ 1003 / 5901 ] simplifiying candidate # 1546938001.913 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938001.914 * * [misc]simplify: iters left: 6 (52 enodes) 1546938001.932 * * [misc]simplify: iters left: 5 (139 enodes) 1546938001.986 * * [misc]simplify: iters left: 4 (491 enodes) 1546938002.357 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546938002.357 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938002.358 * * * * [misc]progress: [ 1004 / 5901 ] simplifiying candidate # 1546938002.358 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938002.359 * * [misc]simplify: iters left: 6 (52 enodes) 1546938002.382 * * [misc]simplify: iters left: 5 (139 enodes) 1546938002.435 * * [misc]simplify: iters left: 4 (489 enodes) 1546938002.803 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) 1546938002.803 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938002.803 * * * * [misc]progress: [ 1005 / 5901 ] simplifiying candidate # 1546938002.803 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938002.804 * * [misc]simplify: iters left: 6 (46 enodes) 1546938002.819 * * [misc]simplify: iters left: 5 (119 enodes) 1546938002.849 * * [misc]simplify: iters left: 4 (408 enodes) 1546938003.121 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546938003.121 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2))))) (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938003.121 * * * * [misc]progress: [ 1006 / 5901 ] simplifiying candidate # 1546938003.122 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938003.122 * * [misc]simplify: iters left: 6 (51 enodes) 1546938003.132 * * [misc]simplify: iters left: 5 (133 enodes) 1546938003.159 * * [misc]simplify: iters left: 4 (432 enodes) 1546938003.443 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) 1546938003.443 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938003.443 * * * * [misc]progress: [ 1007 / 5901 ] simplifiying candidate # 1546938003.443 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938003.444 * * [misc]simplify: iters left: 6 (46 enodes) 1546938003.452 * * [misc]simplify: iters left: 5 (119 enodes) 1546938003.478 * * [misc]simplify: iters left: 4 (399 enodes) 1546938003.801 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546938003.801 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938003.801 * * * * [misc]progress: [ 1008 / 5901 ] simplifiying candidate # 1546938003.801 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938003.802 * * [misc]simplify: iters left: 6 (51 enodes) 1546938003.816 * * [misc]simplify: iters left: 5 (133 enodes) 1546938003.844 * * [misc]simplify: iters left: 4 (432 enodes) 1546938004.185 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) 1546938004.185 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (* (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1))) (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938004.185 * * * * [misc]progress: [ 1009 / 5901 ] simplifiying candidate # 1546938004.186 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938004.186 * * [misc]simplify: iters left: 6 (46 enodes) 1546938004.194 * * [misc]simplify: iters left: 5 (119 enodes) 1546938004.225 * * [misc]simplify: iters left: 4 (399 enodes) 1546938004.482 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 1546938004.482 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938004.483 * * * * [misc]progress: [ 1010 / 5901 ] simplifiying candidate # 1546938004.483 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938004.484 * * [misc]simplify: iters left: 6 (50 enodes) 1546938004.503 * * [misc]simplify: iters left: 5 (128 enodes) 1546938004.537 * * [misc]simplify: iters left: 4 (447 enodes) 1546938004.912 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) 1546938004.912 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938004.912 * * * * [misc]progress: [ 1011 / 5901 ] simplifiying candidate # 1546938004.912 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938004.913 * * [misc]simplify: iters left: 6 (51 enodes) 1546938004.923 * * [misc]simplify: iters left: 5 (135 enodes) 1546938004.953 * * [misc]simplify: iters left: 4 (478 enodes) 1546938005.373 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) 1546938005.373 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))) (* (+ phi2 phi1) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938005.373 * * * * [misc]progress: [ 1012 / 5901 ] simplifiying candidate # 1546938005.374 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938005.374 * * [misc]simplify: iters left: 6 (51 enodes) 1546938005.383 * * [misc]simplify: iters left: 5 (135 enodes) 1546938005.426 * * [misc]simplify: iters left: 4 (476 enodes) 1546938005.888 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546938005.888 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))) (* (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda2 lambda1)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938005.888 * * * * [misc]progress: [ 1013 / 5901 ] simplifiying candidate # 1546938005.888 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938005.889 * * [misc]simplify: iters left: 6 (45 enodes) 1546938005.904 * * [misc]simplify: iters left: 5 (115 enodes) 1546938005.948 * * [misc]simplify: iters left: 4 (395 enodes) 1546938006.215 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) 1546938006.215 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))))) (* (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938006.215 * * * * [misc]progress: [ 1014 / 5901 ] simplifiying candidate # 1546938006.215 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938006.216 * * [misc]simplify: iters left: 6 (50 enodes) 1546938006.225 * * [misc]simplify: iters left: 5 (129 enodes) 1546938006.271 * * [misc]simplify: iters left: 4 (426 enodes) 1546938006.555 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 1546938006.555 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938006.555 * * * * [misc]progress: [ 1015 / 5901 ] simplifiying candidate # 1546938006.556 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938006.556 * * [misc]simplify: iters left: 6 (45 enodes) 1546938006.564 * * [misc]simplify: iters left: 5 (115 enodes) 1546938006.595 * * [misc]simplify: iters left: 4 (393 enodes) 1546938006.885 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) 1546938006.885 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (cbrt (* (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938006.885 * * * * [misc]progress: [ 1016 / 5901 ] simplifiying candidate # 1546938006.885 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938006.886 * * [misc]simplify: iters left: 6 (50 enodes) 1546938006.895 * * [misc]simplify: iters left: 5 (129 enodes) 1546938006.934 * * [misc]simplify: iters left: 4 (426 enodes) 1546938007.268 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 1546938007.268 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938007.268 * * * * [misc]progress: [ 1017 / 5901 ] simplifiying candidate # 1546938007.269 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938007.269 * * [misc]simplify: iters left: 6 (45 enodes) 1546938007.286 * * [misc]simplify: iters left: 5 (115 enodes) 1546938007.334 * * [misc]simplify: iters left: 4 (393 enodes) 1546938007.589 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) 1546938007.589 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi2 phi1)) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938007.589 * * * * [misc]progress: [ 1018 / 5901 ] simplifiying candidate # 1546938007.589 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938007.590 * * [misc]simplify: iters left: 6 (51 enodes) 1546938007.608 * * [misc]simplify: iters left: 5 (131 enodes) 1546938007.664 * * [misc]simplify: iters left: 4 (459 enodes) 1546938008.047 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) 1546938008.047 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))) (* (* (* (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938008.047 * * * * [misc]progress: [ 1019 / 5901 ] simplifiying candidate # 1546938008.048 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938008.048 * * [misc]simplify: iters left: 6 (52 enodes) 1546938008.071 * * [misc]simplify: iters left: 5 (138 enodes) 1546938008.120 * * [misc]simplify: iters left: 4 (490 enodes) 1546938008.495 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1)))))))) 1546938008.495 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))))) (* (cbrt (* (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)) (+ lambda2 lambda1))) (* (cbrt (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2))) (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi2 phi1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938008.495 * * * * [misc]progress: [ 1020 / 5901 ] simplifiying candidate # 1546938008.495 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938008.496 * * [misc]simplify: iters left: 6 (52 enodes) 1546938008.517 * * [misc]simplify: iters left: 5 (138 enodes) 1546938008.544 * * [misc]simplify: iters left: 4 (488 enodes) 1546938008.911 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546938008.911 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2))))) (* (+ phi2 phi1) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938008.911 * * * * [misc]progress: [ 1021 / 5901 ] simplifiying candidate # 1546938008.912 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938008.912 * * [misc]simplify: iters left: 6 (46 enodes) 1546938008.920 * * [misc]simplify: iters left: 5 (118 enodes) 1546938008.952 * * [misc]simplify: iters left: 4 (407 enodes) 1546938009.246 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) 1546938009.247 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (* (* (+ phi2 phi1) (- phi1 phi2)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1)))))) (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938009.247 * * * * [misc]progress: [ 1022 / 5901 ] simplifiying candidate # 1546938009.247 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938009.247 * * [misc]simplify: iters left: 6 (51 enodes) 1546938009.256 * * [misc]simplify: iters left: 5 (132 enodes) 1546938009.303 * * [misc]simplify: iters left: 4 (431 enodes) 1546938009.564 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) 1546938009.564 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938009.564 * * * * [misc]progress: [ 1023 / 5901 ] simplifiying candidate # 1546938009.565 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938009.565 * * [misc]simplify: iters left: 6 (46 enodes) 1546938009.582 * * [misc]simplify: iters left: 5 (118 enodes) 1546938009.613 * * [misc]simplify: iters left: 4 (398 enodes) 1546938009.900 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) 1546938009.900 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (* (- phi1 phi2) (+ phi2 phi1)) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938009.901 * * * * [misc]progress: [ 1024 / 5901 ] simplifiying candidate # 1546938009.901 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938009.901 * * [misc]simplify: iters left: 6 (51 enodes) 1546938009.913 * * [misc]simplify: iters left: 5 (132 enodes) 1546938009.948 * * [misc]simplify: iters left: 4 (431 enodes) 1546938010.193 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) 1546938010.193 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (+ (* phi1 (+ phi2 phi1)) (* phi2 phi2)))) (* (* (* (cbrt (+ lambda2 lambda1)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda2 lambda1)) (* lambda1 lambda1)) (+ lambda2 lambda1)))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938010.193 * * * * [misc]progress: [ 1025 / 5901 ] simplifiying candidate # 1546938010.193 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938010.194 * * [misc]simplify: iters left: 6 (46 enodes) 1546938010.202 * * [misc]simplify: iters left: 5 (118 enodes) 1546938010.236 * * [misc]simplify: iters left: 4 (398 enodes) 1546938010.541 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) 1546938010.541 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi2 phi1) 2)))) (+ phi2 phi1)) (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1)) (+ lambda2 lambda1))) (* (* (cbrt (+ lambda2 lambda1)) (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda2 lambda1) lambda1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938010.541 * * * * [misc]progress: [ 1026 / 5901 ] simplifiying candidate # 1546938010.541 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938010.542 * * [misc]simplify: iters left: 6 (48 enodes) 1546938010.558 * * [misc]simplify: iters left: 5 (124 enodes) 1546938010.586 * * [misc]simplify: iters left: 4 (425 enodes) 1546938010.930 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) 1546938010.930 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* (+ lambda2 lambda1) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))) (+ (* phi2 phi2) (* phi1 (+ phi2 phi1))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda2 lambda1))) (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938010.931 * * * * [misc]progress: [ 1027 / 5901 ] simplifiying candidate # 1546938010.931 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938010.931 * * [misc]simplify: iters left: 6 (49 enodes) 1546938010.943 * * [misc]simplify: iters left: 5 (131 enodes) 1546938010.981 * * [misc]simplify: iters left: 4 (456 enodes) 1546938011.435 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) 1546938011.435 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))) (* (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2))))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938011.436 * * * * [misc]progress: [ 1028 / 5901 ] simplifiying candidate # 1546938011.436 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938011.436 * * [misc]simplify: iters left: 6 (49 enodes) 1546938011.447 * * [misc]simplify: iters left: 5 (131 enodes) 1546938011.486 * * [misc]simplify: iters left: 4 (454 enodes) 1546938011.849 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) 1546938011.849 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi2 phi1) 2)))) (* (+ phi2 phi1) (+ (* phi1 phi1) (* phi2 (+ phi2 phi1)))))) (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (* (+ phi2 phi1) (- phi1 phi2)))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1)))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938011.849 * * * * [misc]progress: [ 1029 / 5901 ] simplifiying candidate # 1546938011.850 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938011.850 * * [misc]simplify: iters left: 6 (43 enodes) 1546938011.857 * * [misc]simplify: iters left: 5 (111 enodes) 1546938011.898 * * [misc]simplify: iters left: 4 (373 enodes) 1546938012.116 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) 1546938012.116 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi2 phi1) (+ phi2 phi1)) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (* (+ lambda2 lambda1) (- lambda1 lambda2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1))))) (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (* (- phi1 phi2) (+ phi2 phi1)) (* (- phi1 phi2) (+ phi2 phi1))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938012.116 * * * * [misc]progress: [ 1030 / 5901 ] simplifiying candidate # 1546938012.117 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938012.117 * * [misc]simplify: iters left: 6 (48 enodes) 1546938012.132 * * [misc]simplify: iters left: 5 (125 enodes) 1546938012.179 * * [misc]simplify: iters left: 4 (397 enodes) 1546938012.442 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546938012.442 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938012.442 * * * * [misc]progress: [ 1031 / 5901 ] simplifiying candidate # 1546938012.442 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938012.443 * * [misc]simplify: iters left: 6 (43 enodes) 1546938012.457 * * [misc]simplify: iters left: 5 (111 enodes) 1546938012.507 * * [misc]simplify: iters left: 4 (364 enodes) 1546938012.735 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) 1546938012.735 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (- phi1 phi2) (* (- phi1 phi2) (+ phi2 phi1))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))) (* (+ phi2 phi1) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938012.736 * * * * [misc]progress: [ 1032 / 5901 ] simplifiying candidate # 1546938012.736 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938012.737 * * [misc]simplify: iters left: 6 (48 enodes) 1546938012.753 * * [misc]simplify: iters left: 5 (125 enodes) 1546938012.794 * * [misc]simplify: iters left: 4 (397 enodes) 1546938013.039 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) 1546938013.039 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda2 lambda1) (+ (* lambda2 lambda2) (* lambda1 (+ lambda2 lambda1)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi2 phi1))) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2)))))) (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (* (* (- lambda1 lambda2) (+ lambda2 lambda1)) (- lambda1 lambda2)) (cos (/ (+ phi2 phi1) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi2 phi1) 2))) (* (cos (/ (+ phi2 phi1) 2)) (* (- lambda1 lambda2) (+ lambda2 lambda1))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938013.039 * * * * [misc]progress: [ 1033 / 5901 ] simplifiying candidate # 1546938013.039 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938013.039 * * [misc]simplify: iters left: 6 (43 enodes) 1546938013.047 * * [misc]simplify: iters left: 5 (111 enodes) 1546938013.086 * * [misc]simplify: iters left: 4 (364 enodes) 1546938013.704 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))))) 1546938013.704 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda2 lambda1) (+ (* lambda1 lambda1) (* lambda2 (+ lambda2 lambda1))))) (* (* (+ phi2 phi1) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda2 lambda1)) (cbrt (+ lambda2 lambda1))))) (* (* (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi2 phi1) (cbrt (* (cos (/ (+ phi2 phi1) 2)) (* (cos (/ (+ phi2 phi1) 2)) (* (+ lambda2 lambda1) (* (- lambda1 lambda2) (- lambda1 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938013.704 * * * * [misc]progress: [ 1034 / 5901 ] simplifiying candidate # 1546938013.704 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938013.705 * * [misc]simplify: iters left: 6 (47 enodes) 1546938013.722 * * [misc]simplify: iters left: 5 (125 enodes) 1546938013.757 * * [misc]simplify: iters left: 4 (441 enodes) 1546938014.098 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938014.098 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938014.098 * * * * [misc]progress: [ 1035 / 5901 ] simplifiying candidate # 1546938014.099 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938014.100 * * [misc]simplify: iters left: 6 (48 enodes) 1546938014.117 * * [misc]simplify: iters left: 5 (132 enodes) 1546938014.152 * * [misc]simplify: iters left: 4 (472 enodes) 1546938014.503 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))))) 1546938014.503 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938014.504 * * * * [misc]progress: [ 1036 / 5901 ] simplifiying candidate # 1546938014.504 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938014.504 * * [misc]simplify: iters left: 6 (48 enodes) 1546938014.513 * * [misc]simplify: iters left: 5 (132 enodes) 1546938014.549 * * [misc]simplify: iters left: 4 (470 enodes) 1546938014.894 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) 1546938014.895 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938014.895 * * * * [misc]progress: [ 1037 / 5901 ] simplifiying candidate # 1546938014.895 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938014.896 * * [misc]simplify: iters left: 6 (42 enodes) 1546938014.911 * * [misc]simplify: iters left: 5 (112 enodes) 1546938014.954 * * [misc]simplify: iters left: 4 (389 enodes) 1546938015.209 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) 1546938015.209 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938015.209 * * * * [misc]progress: [ 1038 / 5901 ] simplifiying candidate # 1546938015.210 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938015.210 * * [misc]simplify: iters left: 6 (47 enodes) 1546938015.226 * * [misc]simplify: iters left: 5 (126 enodes) 1546938015.259 * * [misc]simplify: iters left: 4 (413 enodes) 1546938015.539 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938015.539 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938015.539 * * * * [misc]progress: [ 1039 / 5901 ] simplifiying candidate # 1546938015.540 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938015.540 * * [misc]simplify: iters left: 6 (42 enodes) 1546938015.555 * * [misc]simplify: iters left: 5 (112 enodes) 1546938015.598 * * [misc]simplify: iters left: 4 (380 enodes) 1546938015.881 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))))) 1546938015.881 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938015.882 * * * * [misc]progress: [ 1040 / 5901 ] simplifiying candidate # 1546938015.882 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938015.883 * * [misc]simplify: iters left: 6 (47 enodes) 1546938015.898 * * [misc]simplify: iters left: 5 (126 enodes) 1546938015.945 * * [misc]simplify: iters left: 4 (413 enodes) 1546938016.210 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938016.210 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938016.210 * * * * [misc]progress: [ 1041 / 5901 ] simplifiying candidate # 1546938016.210 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938016.211 * * [misc]simplify: iters left: 6 (42 enodes) 1546938016.218 * * [misc]simplify: iters left: 5 (112 enodes) 1546938016.241 * * [misc]simplify: iters left: 4 (380 enodes) 1546938016.480 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))))) 1546938016.480 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938016.480 * * * * [misc]progress: [ 1042 / 5901 ] simplifiying candidate # 1546938016.480 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938016.480 * * [misc]simplify: iters left: 6 (51 enodes) 1546938016.490 * * [misc]simplify: iters left: 5 (135 enodes) 1546938016.540 * * [misc]simplify: iters left: 4 (462 enodes) 1546938016.926 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938016.926 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938016.927 * * * * [misc]progress: [ 1043 / 5901 ] simplifiying candidate # 1546938016.927 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938016.928 * * [misc]simplify: iters left: 6 (52 enodes) 1546938016.947 * * [misc]simplify: iters left: 5 (142 enodes) 1546938017.003 * * [misc]simplify: iters left: 4 (493 enodes) 1546938017.412 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938017.412 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938017.412 * * * * [misc]progress: [ 1044 / 5901 ] simplifiying candidate # 1546938017.413 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938017.413 * * [misc]simplify: iters left: 6 (52 enodes) 1546938017.429 * * [misc]simplify: iters left: 5 (142 enodes) 1546938017.468 * * [misc]simplify: iters left: 4 (491 enodes) 1546938017.799 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) 1546938017.799 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938017.799 * * * * [misc]progress: [ 1045 / 5901 ] simplifiying candidate # 1546938017.800 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938017.800 * * [misc]simplify: iters left: 6 (46 enodes) 1546938017.817 * * [misc]simplify: iters left: 5 (124 enodes) 1546938017.864 * * [misc]simplify: iters left: 4 (415 enodes) 1546938018.171 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938018.171 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938018.171 * * * * [misc]progress: [ 1046 / 5901 ] simplifiying candidate # 1546938018.172 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938018.173 * * [misc]simplify: iters left: 6 (51 enodes) 1546938018.191 * * [misc]simplify: iters left: 5 (137 enodes) 1546938018.249 * * [misc]simplify: iters left: 4 (431 enodes) 1546938018.557 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938018.557 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938018.557 * * * * [misc]progress: [ 1047 / 5901 ] simplifiying candidate # 1546938018.557 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938018.557 * * [misc]simplify: iters left: 6 (46 enodes) 1546938018.569 * * [misc]simplify: iters left: 5 (123 enodes) 1546938018.605 * * [misc]simplify: iters left: 4 (406 enodes) 1546938018.912 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938018.912 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938018.913 * * * * [misc]progress: [ 1048 / 5901 ] simplifiying candidate # 1546938018.913 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938018.913 * * [misc]simplify: iters left: 6 (51 enodes) 1546938018.931 * * [misc]simplify: iters left: 5 (137 enodes) 1546938018.981 * * [misc]simplify: iters left: 4 (431 enodes) 1546938019.225 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938019.226 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938019.226 * * * * [misc]progress: [ 1049 / 5901 ] simplifiying candidate # 1546938019.226 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938019.226 * * [misc]simplify: iters left: 6 (46 enodes) 1546938019.234 * * [misc]simplify: iters left: 5 (123 enodes) 1546938019.273 * * [misc]simplify: iters left: 4 (406 enodes) 1546938019.577 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938019.577 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938019.577 * * * * [misc]progress: [ 1050 / 5901 ] simplifiying candidate # 1546938019.577 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938019.578 * * [misc]simplify: iters left: 6 (47 enodes) 1546938019.598 * * [misc]simplify: iters left: 5 (121 enodes) 1546938019.625 * * [misc]simplify: iters left: 4 (427 enodes) 1546938019.921 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938019.921 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938019.921 * * * * [misc]progress: [ 1051 / 5901 ] simplifiying candidate # 1546938019.922 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938019.922 * * [misc]simplify: iters left: 6 (48 enodes) 1546938019.931 * * [misc]simplify: iters left: 5 (128 enodes) 1546938019.968 * * [misc]simplify: iters left: 4 (458 enodes) 1546938020.382 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) 1546938020.382 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938020.383 * * * * [misc]progress: [ 1052 / 5901 ] simplifiying candidate # 1546938020.383 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938020.383 * * [misc]simplify: iters left: 6 (48 enodes) 1546938020.400 * * [misc]simplify: iters left: 5 (128 enodes) 1546938020.454 * * [misc]simplify: iters left: 4 (456 enodes) 1546938020.840 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) 1546938020.840 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938020.841 * * * * [misc]progress: [ 1053 / 5901 ] simplifiying candidate # 1546938020.841 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938020.841 * * [misc]simplify: iters left: 6 (42 enodes) 1546938020.849 * * [misc]simplify: iters left: 5 (109 enodes) 1546938020.879 * * [misc]simplify: iters left: 4 (377 enodes) 1546938021.115 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) 1546938021.115 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938021.115 * * * * [misc]progress: [ 1054 / 5901 ] simplifiying candidate # 1546938021.115 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938021.116 * * [misc]simplify: iters left: 6 (47 enodes) 1546938021.133 * * [misc]simplify: iters left: 5 (123 enodes) 1546938021.169 * * [misc]simplify: iters left: 4 (395 enodes) 1546938021.443 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938021.443 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938021.443 * * * * [misc]progress: [ 1055 / 5901 ] simplifiying candidate # 1546938021.443 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938021.444 * * [misc]simplify: iters left: 6 (42 enodes) 1546938021.451 * * [misc]simplify: iters left: 5 (110 enodes) 1546938021.473 * * [misc]simplify: iters left: 4 (364 enodes) 1546938021.709 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938021.709 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938021.709 * * * * [misc]progress: [ 1056 / 5901 ] simplifiying candidate # 1546938021.710 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938021.711 * * [misc]simplify: iters left: 6 (47 enodes) 1546938021.727 * * [misc]simplify: iters left: 5 (123 enodes) 1546938021.773 * * [misc]simplify: iters left: 4 (395 enodes) 1546938022.008 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938022.008 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938022.008 * * * * [misc]progress: [ 1057 / 5901 ] simplifiying candidate # 1546938022.009 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938022.009 * * [misc]simplify: iters left: 6 (42 enodes) 1546938022.017 * * [misc]simplify: iters left: 5 (110 enodes) 1546938022.049 * * [misc]simplify: iters left: 4 (364 enodes) 1546938022.305 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938022.305 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938022.305 * * * * [misc]progress: [ 1058 / 5901 ] simplifiying candidate # 1546938022.306 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938022.306 * * [misc]simplify: iters left: 6 (51 enodes) 1546938022.320 * * [misc]simplify: iters left: 5 (139 enodes) 1546938022.354 * * [misc]simplify: iters left: 4 (484 enodes) 1546938022.766 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938022.766 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938022.766 * * * * [misc]progress: [ 1059 / 5901 ] simplifiying candidate # 1546938022.766 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938022.767 * * [misc]simplify: iters left: 6 (52 enodes) 1546938022.776 * * [misc]simplify: iters left: 5 (146 enodes) 1546938022.834 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938022.834 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938022.834 * * * * [misc]progress: [ 1060 / 5901 ] simplifiying candidate # 1546938022.834 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938022.834 * * [misc]simplify: iters left: 6 (52 enodes) 1546938022.844 * * [misc]simplify: iters left: 5 (146 enodes) 1546938022.884 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938022.884 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938022.884 * * * * [misc]progress: [ 1061 / 5901 ] simplifiying candidate # 1546938022.884 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938022.885 * * [misc]simplify: iters left: 6 (46 enodes) 1546938022.893 * * [misc]simplify: iters left: 5 (126 enodes) 1546938022.930 * * [misc]simplify: iters left: 4 (432 enodes) 1546938023.196 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938023.196 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938023.196 * * * * [misc]progress: [ 1062 / 5901 ] simplifiying candidate # 1546938023.196 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938023.197 * * [misc]simplify: iters left: 6 (51 enodes) 1546938023.215 * * [misc]simplify: iters left: 5 (140 enodes) 1546938023.268 * * [misc]simplify: iters left: 4 (456 enodes) 1546938023.619 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938023.619 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938023.619 * * * * [misc]progress: [ 1063 / 5901 ] simplifiying candidate # 1546938023.620 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938023.621 * * [misc]simplify: iters left: 6 (46 enodes) 1546938023.634 * * [misc]simplify: iters left: 5 (126 enodes) 1546938023.659 * * [misc]simplify: iters left: 4 (423 enodes) 1546938024.011 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938024.011 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938024.012 * * * * [misc]progress: [ 1064 / 5901 ] simplifiying candidate # 1546938024.012 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938024.013 * * [misc]simplify: iters left: 6 (51 enodes) 1546938024.029 * * [misc]simplify: iters left: 5 (140 enodes) 1546938024.077 * * [misc]simplify: iters left: 4 (456 enodes) 1546938024.329 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938024.329 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938024.330 * * * * [misc]progress: [ 1065 / 5901 ] simplifiying candidate # 1546938024.330 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938024.330 * * [misc]simplify: iters left: 6 (46 enodes) 1546938024.345 * * [misc]simplify: iters left: 5 (126 enodes) 1546938024.377 * * [misc]simplify: iters left: 4 (423 enodes) 1546938024.640 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938024.640 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938024.640 * * * * [misc]progress: [ 1066 / 5901 ] simplifiying candidate # 1546938024.641 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938024.641 * * [misc]simplify: iters left: 6 (52 enodes) 1546938024.658 * * [misc]simplify: iters left: 5 (136 enodes) 1546938024.695 * * [misc]simplify: iters left: 4 (488 enodes) 1546938025.177 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) 1546938025.177 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938025.177 * * * * [misc]progress: [ 1067 / 5901 ] simplifiying candidate # 1546938025.178 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938025.178 * * [misc]simplify: iters left: 6 (53 enodes) 1546938025.197 * * [misc]simplify: iters left: 5 (143 enodes) 1546938025.272 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938025.272 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938025.273 * * * * [misc]progress: [ 1068 / 5901 ] simplifiying candidate # 1546938025.273 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938025.274 * * [misc]simplify: iters left: 6 (53 enodes) 1546938025.286 * * [misc]simplify: iters left: 5 (143 enodes) 1546938025.341 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938025.342 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938025.342 * * * * [misc]progress: [ 1069 / 5901 ] simplifiying candidate # 1546938025.342 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938025.342 * * [misc]simplify: iters left: 6 (47 enodes) 1546938025.351 * * [misc]simplify: iters left: 5 (123 enodes) 1546938025.388 * * [misc]simplify: iters left: 4 (436 enodes) 1546938025.684 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938025.684 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938025.684 * * * * [misc]progress: [ 1070 / 5901 ] simplifiying candidate # 1546938025.685 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938025.685 * * [misc]simplify: iters left: 6 (52 enodes) 1546938025.704 * * [misc]simplify: iters left: 5 (137 enodes) 1546938025.732 * * [misc]simplify: iters left: 4 (460 enodes) 1546938026.042 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938026.043 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938026.043 * * * * [misc]progress: [ 1071 / 5901 ] simplifiying candidate # 1546938026.043 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938026.044 * * [misc]simplify: iters left: 6 (47 enodes) 1546938026.065 * * [misc]simplify: iters left: 5 (123 enodes) 1546938026.090 * * [misc]simplify: iters left: 4 (427 enodes) 1546938026.365 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938026.365 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938026.365 * * * * [misc]progress: [ 1072 / 5901 ] simplifiying candidate # 1546938026.365 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938026.366 * * [misc]simplify: iters left: 6 (52 enodes) 1546938026.375 * * [misc]simplify: iters left: 5 (137 enodes) 1546938026.407 * * [misc]simplify: iters left: 4 (460 enodes) 1546938026.732 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938026.732 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938026.732 * * * * [misc]progress: [ 1073 / 5901 ] simplifiying candidate # 1546938026.732 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938026.732 * * [misc]simplify: iters left: 6 (47 enodes) 1546938026.745 * * [misc]simplify: iters left: 5 (123 enodes) 1546938026.792 * * [misc]simplify: iters left: 4 (427 enodes) 1546938027.077 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938027.078 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938027.078 * * * * [misc]progress: [ 1074 / 5901 ] simplifiying candidate # 1546938027.079 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938027.079 * * [misc]simplify: iters left: 6 (52 enodes) 1546938027.089 * * [misc]simplify: iters left: 5 (137 enodes) 1546938027.136 * * [misc]simplify: iters left: 4 (492 enodes) 1546938027.567 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) 1546938027.567 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938027.568 * * * * [misc]progress: [ 1075 / 5901 ] simplifiying candidate # 1546938027.568 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938027.569 * * [misc]simplify: iters left: 6 (53 enodes) 1546938027.578 * * [misc]simplify: iters left: 5 (144 enodes) 1546938027.632 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938027.632 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938027.632 * * * * [misc]progress: [ 1076 / 5901 ] simplifiying candidate # 1546938027.633 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938027.634 * * [misc]simplify: iters left: 6 (53 enodes) 1546938027.654 * * [misc]simplify: iters left: 5 (144 enodes) 1546938027.701 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938027.701 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938027.701 * * * * [misc]progress: [ 1077 / 5901 ] simplifiying candidate # 1546938027.701 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938027.702 * * [misc]simplify: iters left: 6 (47 enodes) 1546938027.710 * * [misc]simplify: iters left: 5 (124 enodes) 1546938027.760 * * [misc]simplify: iters left: 4 (440 enodes) 1546938028.063 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938028.063 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938028.063 * * * * [misc]progress: [ 1078 / 5901 ] simplifiying candidate # 1546938028.063 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938028.063 * * [misc]simplify: iters left: 6 (52 enodes) 1546938028.073 * * [misc]simplify: iters left: 5 (138 enodes) 1546938028.100 * * [misc]simplify: iters left: 4 (464 enodes) 1546938028.468 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938028.468 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938028.468 * * * * [misc]progress: [ 1079 / 5901 ] simplifiying candidate # 1546938028.469 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938028.469 * * [misc]simplify: iters left: 6 (47 enodes) 1546938028.479 * * [misc]simplify: iters left: 5 (124 enodes) 1546938028.525 * * [misc]simplify: iters left: 4 (431 enodes) 1546938028.851 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938028.851 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938028.851 * * * * [misc]progress: [ 1080 / 5901 ] simplifiying candidate # 1546938028.851 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938028.852 * * [misc]simplify: iters left: 6 (52 enodes) 1546938028.861 * * [misc]simplify: iters left: 5 (138 enodes) 1546938028.902 * * [misc]simplify: iters left: 4 (464 enodes) 1546938029.303 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938029.303 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938029.303 * * * * [misc]progress: [ 1081 / 5901 ] simplifiying candidate # 1546938029.304 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938029.304 * * [misc]simplify: iters left: 6 (47 enodes) 1546938029.320 * * [misc]simplify: iters left: 5 (124 enodes) 1546938029.370 * * [misc]simplify: iters left: 4 (431 enodes) 1546938029.712 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938029.713 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938029.713 * * * * [misc]progress: [ 1082 / 5901 ] simplifiying candidate # 1546938029.713 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938029.714 * * [misc]simplify: iters left: 6 (52 enodes) 1546938029.732 * * [misc]simplify: iters left: 5 (137 enodes) 1546938029.785 * * [misc]simplify: iters left: 4 (489 enodes) 1546938030.176 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 1546938030.176 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938030.177 * * * * [misc]progress: [ 1083 / 5901 ] simplifiying candidate # 1546938030.177 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938030.178 * * [misc]simplify: iters left: 6 (53 enodes) 1546938030.196 * * [misc]simplify: iters left: 5 (144 enodes) 1546938030.278 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938030.278 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938030.278 * * * * [misc]progress: [ 1084 / 5901 ] simplifiying candidate # 1546938030.279 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938030.279 * * [misc]simplify: iters left: 6 (53 enodes) 1546938030.300 * * [misc]simplify: iters left: 5 (144 enodes) 1546938030.381 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938030.381 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938030.382 * * * * [misc]progress: [ 1085 / 5901 ] simplifiying candidate # 1546938030.382 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938030.383 * * [misc]simplify: iters left: 6 (47 enodes) 1546938030.399 * * [misc]simplify: iters left: 5 (124 enodes) 1546938030.449 * * [misc]simplify: iters left: 4 (437 enodes) 1546938030.748 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938030.748 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938030.749 * * * * [misc]progress: [ 1086 / 5901 ] simplifiying candidate # 1546938030.749 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938030.750 * * [misc]simplify: iters left: 6 (52 enodes) 1546938030.768 * * [misc]simplify: iters left: 5 (138 enodes) 1546938030.828 * * [misc]simplify: iters left: 4 (461 enodes) 1546938031.158 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938031.158 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938031.158 * * * * [misc]progress: [ 1087 / 5901 ] simplifiying candidate # 1546938031.158 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938031.159 * * [misc]simplify: iters left: 6 (47 enodes) 1546938031.167 * * [misc]simplify: iters left: 5 (124 enodes) 1546938031.202 * * [misc]simplify: iters left: 4 (428 enodes) 1546938031.502 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938031.502 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938031.503 * * * * [misc]progress: [ 1088 / 5901 ] simplifiying candidate # 1546938031.503 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938031.503 * * [misc]simplify: iters left: 6 (52 enodes) 1546938031.526 * * [misc]simplify: iters left: 5 (138 enodes) 1546938031.575 * * [misc]simplify: iters left: 4 (461 enodes) 1546938031.867 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938031.867 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938031.868 * * * * [misc]progress: [ 1089 / 5901 ] simplifiying candidate # 1546938031.868 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938031.868 * * [misc]simplify: iters left: 6 (47 enodes) 1546938031.876 * * [misc]simplify: iters left: 5 (124 enodes) 1546938031.914 * * [misc]simplify: iters left: 4 (428 enodes) 1546938032.197 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938032.197 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938032.197 * * * * [misc]progress: [ 1090 / 5901 ] simplifiying candidate # 1546938032.198 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938032.198 * * [misc]simplify: iters left: 6 (52 enodes) 1546938032.207 * * [misc]simplify: iters left: 5 (137 enodes) 1546938032.235 * * [misc]simplify: iters left: 4 (492 enodes) 1546938032.607 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 1546938032.607 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938032.608 * * * * [misc]progress: [ 1091 / 5901 ] simplifiying candidate # 1546938032.608 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938032.609 * * [misc]simplify: iters left: 6 (53 enodes) 1546938032.618 * * [misc]simplify: iters left: 5 (144 enodes) 1546938032.683 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938032.683 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938032.683 * * * * [misc]progress: [ 1092 / 5901 ] simplifiying candidate # 1546938032.684 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938032.684 * * [misc]simplify: iters left: 6 (53 enodes) 1546938032.703 * * [misc]simplify: iters left: 5 (144 enodes) 1546938032.794 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938032.794 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938032.795 * * * * [misc]progress: [ 1093 / 5901 ] simplifiying candidate # 1546938032.795 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938032.796 * * [misc]simplify: iters left: 6 (47 enodes) 1546938032.811 * * [misc]simplify: iters left: 5 (124 enodes) 1546938032.860 * * [misc]simplify: iters left: 4 (440 enodes) 1546938033.147 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938033.147 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938033.147 * * * * [misc]progress: [ 1094 / 5901 ] simplifiying candidate # 1546938033.148 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938033.148 * * [misc]simplify: iters left: 6 (52 enodes) 1546938033.157 * * [misc]simplify: iters left: 5 (138 enodes) 1546938033.201 * * [misc]simplify: iters left: 4 (464 enodes) 1546938033.539 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938033.540 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938033.540 * * * * [misc]progress: [ 1095 / 5901 ] simplifiying candidate # 1546938033.540 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938033.541 * * [misc]simplify: iters left: 6 (47 enodes) 1546938033.550 * * [misc]simplify: iters left: 5 (124 enodes) 1546938033.582 * * [misc]simplify: iters left: 4 (431 enodes) 1546938033.851 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938033.851 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938033.851 * * * * [misc]progress: [ 1096 / 5901 ] simplifiying candidate # 1546938033.852 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938033.853 * * [misc]simplify: iters left: 6 (52 enodes) 1546938033.871 * * [misc]simplify: iters left: 5 (138 enodes) 1546938033.926 * * [misc]simplify: iters left: 4 (464 enodes) 1546938034.245 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938034.245 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938034.246 * * * * [misc]progress: [ 1097 / 5901 ] simplifiying candidate # 1546938034.246 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938034.247 * * [misc]simplify: iters left: 6 (47 enodes) 1546938034.264 * * [misc]simplify: iters left: 5 (124 enodes) 1546938034.317 * * [misc]simplify: iters left: 4 (431 enodes) 1546938034.603 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938034.604 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938034.604 * * * * [misc]progress: [ 1098 / 5901 ] simplifiying candidate # 1546938034.604 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938034.605 * * [misc]simplify: iters left: 6 (51 enodes) 1546938034.615 * * [misc]simplify: iters left: 5 (137 enodes) 1546938034.642 * * [misc]simplify: iters left: 4 (472 enodes) 1546938034.959 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938034.959 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938034.959 * * * * [misc]progress: [ 1099 / 5901 ] simplifiying candidate # 1546938034.960 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938034.960 * * [misc]simplify: iters left: 6 (52 enodes) 1546938034.970 * * [misc]simplify: iters left: 5 (144 enodes) 1546938035.033 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938035.033 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938035.033 * * * * [misc]progress: [ 1100 / 5901 ] simplifiying candidate # 1546938035.034 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938035.035 * * [misc]simplify: iters left: 6 (52 enodes) 1546938035.053 * * [misc]simplify: iters left: 5 (144 enodes) 1546938035.096 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938035.096 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938035.096 * * * * [misc]progress: [ 1101 / 5901 ] simplifiying candidate # 1546938035.096 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938035.096 * * [misc]simplify: iters left: 6 (46 enodes) 1546938035.104 * * [misc]simplify: iters left: 5 (124 enodes) 1546938035.128 * * [misc]simplify: iters left: 4 (419 enodes) 1546938035.403 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938035.403 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938035.403 * * * * [misc]progress: [ 1102 / 5901 ] simplifiying candidate # 1546938035.403 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938035.404 * * [misc]simplify: iters left: 6 (51 enodes) 1546938035.423 * * [misc]simplify: iters left: 5 (138 enodes) 1546938035.456 * * [misc]simplify: iters left: 4 (443 enodes) 1546938035.738 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) 1546938035.738 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938035.739 * * * * [misc]progress: [ 1103 / 5901 ] simplifiying candidate # 1546938035.739 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938035.739 * * [misc]simplify: iters left: 6 (46 enodes) 1546938035.748 * * [misc]simplify: iters left: 5 (124 enodes) 1546938035.777 * * [misc]simplify: iters left: 4 (408 enodes) 1546938035.983 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938035.983 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938035.983 * * * * [misc]progress: [ 1104 / 5901 ] simplifiying candidate # 1546938035.983 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938035.984 * * [misc]simplify: iters left: 6 (51 enodes) 1546938035.993 * * [misc]simplify: iters left: 5 (138 enodes) 1546938036.038 * * [misc]simplify: iters left: 4 (443 enodes) 1546938036.344 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) 1546938036.344 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938036.345 * * * * [misc]progress: [ 1105 / 5901 ] simplifiying candidate # 1546938036.345 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938036.345 * * [misc]simplify: iters left: 6 (46 enodes) 1546938036.354 * * [misc]simplify: iters left: 5 (124 enodes) 1546938036.387 * * [misc]simplify: iters left: 4 (408 enodes) 1546938036.725 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938036.725 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938036.725 * * * * [misc]progress: [ 1106 / 5901 ] simplifiying candidate # 1546938036.726 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938036.726 * * [misc]simplify: iters left: 6 (47 enodes) 1546938036.744 * * [misc]simplify: iters left: 5 (124 enodes) 1546938036.795 * * [misc]simplify: iters left: 4 (403 enodes) 1546938037.103 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) 1546938037.103 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938037.104 * * * * [misc]progress: [ 1107 / 5901 ] simplifiying candidate # 1546938037.104 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938037.104 * * [misc]simplify: iters left: 6 (48 enodes) 1546938037.113 * * [misc]simplify: iters left: 5 (131 enodes) 1546938037.137 * * [misc]simplify: iters left: 4 (433 enodes) 1546938037.497 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))) 1546938037.498 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938037.498 * * * * [misc]progress: [ 1108 / 5901 ] simplifiying candidate # 1546938037.498 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938037.499 * * [misc]simplify: iters left: 6 (48 enodes) 1546938037.512 * * [misc]simplify: iters left: 5 (131 enodes) 1546938037.547 * * [misc]simplify: iters left: 4 (431 enodes) 1546938037.874 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938037.874 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938037.874 * * * * [misc]progress: [ 1109 / 5901 ] simplifiying candidate # 1546938037.875 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938037.875 * * [misc]simplify: iters left: 6 (42 enodes) 1546938037.891 * * [misc]simplify: iters left: 5 (111 enodes) 1546938037.930 * * [misc]simplify: iters left: 4 (354 enodes) 1546938038.149 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) 1546938038.149 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938038.149 * * * * [misc]progress: [ 1110 / 5901 ] simplifiying candidate # 1546938038.149 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938038.150 * * [misc]simplify: iters left: 6 (47 enodes) 1546938038.158 * * [misc]simplify: iters left: 5 (125 enodes) 1546938038.194 * * [misc]simplify: iters left: 4 (381 enodes) 1546938038.411 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) 1546938038.412 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938038.412 * * * * [misc]progress: [ 1111 / 5901 ] simplifiying candidate # 1546938038.412 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938038.413 * * [misc]simplify: iters left: 6 (42 enodes) 1546938038.427 * * [misc]simplify: iters left: 5 (111 enodes) 1546938038.460 * * [misc]simplify: iters left: 4 (332 enodes) 1546938038.672 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) 1546938038.672 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938038.672 * * * * [misc]progress: [ 1112 / 5901 ] simplifiying candidate # 1546938038.672 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938038.673 * * [misc]simplify: iters left: 6 (47 enodes) 1546938038.690 * * [misc]simplify: iters left: 5 (125 enodes) 1546938038.739 * * [misc]simplify: iters left: 4 (381 enodes) 1546938038.993 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) 1546938038.993 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938038.993 * * * * [misc]progress: [ 1113 / 5901 ] simplifiying candidate # 1546938038.993 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938038.994 * * [misc]simplify: iters left: 6 (42 enodes) 1546938039.004 * * [misc]simplify: iters left: 5 (111 enodes) 1546938039.028 * * [misc]simplify: iters left: 4 (332 enodes) 1546938039.238 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) 1546938039.238 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938039.239 * * * * [misc]progress: [ 1114 / 5901 ] simplifiying candidate # 1546938039.239 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938039.239 * * [misc]simplify: iters left: 6 (47 enodes) 1546938039.250 * * [misc]simplify: iters left: 5 (122 enodes) 1546938039.273 * * [misc]simplify: iters left: 4 (408 enodes) 1546938039.583 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) 1546938039.583 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938039.584 * * * * [misc]progress: [ 1115 / 5901 ] simplifiying candidate # 1546938039.584 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938039.585 * * [misc]simplify: iters left: 6 (48 enodes) 1546938039.603 * * [misc]simplify: iters left: 5 (129 enodes) 1546938039.627 * * [misc]simplify: iters left: 4 (439 enodes) 1546938040.525 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) 1546938040.525 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938040.525 * * * * [misc]progress: [ 1116 / 5901 ] simplifiying candidate # 1546938040.525 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938040.526 * * [misc]simplify: iters left: 6 (48 enodes) 1546938040.540 * * [misc]simplify: iters left: 5 (129 enodes) 1546938040.568 * * [misc]simplify: iters left: 4 (437 enodes) 1546938040.965 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))) 1546938040.965 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938040.965 * * * * [misc]progress: [ 1117 / 5901 ] simplifiying candidate # 1546938040.965 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938040.965 * * [misc]simplify: iters left: 6 (42 enodes) 1546938040.973 * * [misc]simplify: iters left: 5 (111 enodes) 1546938040.996 * * [misc]simplify: iters left: 4 (351 enodes) 1546938041.209 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) 1546938041.209 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938041.209 * * * * [misc]progress: [ 1118 / 5901 ] simplifiying candidate # 1546938041.210 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938041.210 * * [misc]simplify: iters left: 6 (47 enodes) 1546938041.231 * * [misc]simplify: iters left: 5 (125 enodes) 1546938041.276 * * [misc]simplify: iters left: 4 (386 enodes) 1546938041.535 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) 1546938041.535 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938041.535 * * * * [misc]progress: [ 1119 / 5901 ] simplifiying candidate # 1546938041.536 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938041.536 * * [misc]simplify: iters left: 6 (42 enodes) 1546938041.551 * * [misc]simplify: iters left: 5 (111 enodes) 1546938041.591 * * [misc]simplify: iters left: 4 (354 enodes) 1546938041.818 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) 1546938041.818 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938041.818 * * * * [misc]progress: [ 1120 / 5901 ] simplifiying candidate # 1546938041.818 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938041.819 * * [misc]simplify: iters left: 6 (47 enodes) 1546938041.827 * * [misc]simplify: iters left: 5 (125 enodes) 1546938041.853 * * [misc]simplify: iters left: 4 (386 enodes) 1546938042.099 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) 1546938042.099 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938042.099 * * * * [misc]progress: [ 1121 / 5901 ] simplifiying candidate # 1546938042.100 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938042.100 * * [misc]simplify: iters left: 6 (42 enodes) 1546938042.108 * * [misc]simplify: iters left: 5 (111 enodes) 1546938042.129 * * [misc]simplify: iters left: 4 (354 enodes) 1546938042.416 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) 1546938042.416 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938042.417 * * * * [misc]progress: [ 1122 / 5901 ] simplifiying candidate # 1546938042.417 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938042.417 * * [misc]simplify: iters left: 6 (51 enodes) 1546938042.427 * * [misc]simplify: iters left: 5 (137 enodes) 1546938042.457 * * [misc]simplify: iters left: 4 (441 enodes) 1546938042.832 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938042.832 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938042.832 * * * * [misc]progress: [ 1123 / 5901 ] simplifiying candidate # 1546938042.833 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938042.833 * * [misc]simplify: iters left: 6 (52 enodes) 1546938042.852 * * [misc]simplify: iters left: 5 (144 enodes) 1546938042.899 * * [misc]simplify: iters left: 4 (473 enodes) 1546938043.263 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))))) 1546938043.263 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938043.263 * * * * [misc]progress: [ 1124 / 5901 ] simplifiying candidate # 1546938043.263 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938043.264 * * [misc]simplify: iters left: 6 (52 enodes) 1546938043.283 * * [misc]simplify: iters left: 5 (144 enodes) 1546938043.338 * * [misc]simplify: iters left: 4 (471 enodes) 1546938043.642 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))))))) 1546938043.642 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938043.642 * * * * [misc]progress: [ 1125 / 5901 ] simplifiying candidate # 1546938043.642 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938043.642 * * [misc]simplify: iters left: 6 (46 enodes) 1546938043.658 * * [misc]simplify: iters left: 5 (124 enodes) 1546938043.708 * * [misc]simplify: iters left: 4 (389 enodes) 1546938043.986 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938043.986 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938043.986 * * * * [misc]progress: [ 1126 / 5901 ] simplifiying candidate # 1546938043.987 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938043.987 * * [misc]simplify: iters left: 6 (51 enodes) 1546938043.996 * * [misc]simplify: iters left: 5 (138 enodes) 1546938044.030 * * [misc]simplify: iters left: 4 (412 enodes) 1546938044.357 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 1546938044.357 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938044.357 * * * * [misc]progress: [ 1127 / 5901 ] simplifiying candidate # 1546938044.358 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938044.358 * * [misc]simplify: iters left: 6 (46 enodes) 1546938044.374 * * [misc]simplify: iters left: 5 (124 enodes) 1546938044.422 * * [misc]simplify: iters left: 4 (377 enodes) 1546938044.642 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938044.642 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938044.642 * * * * [misc]progress: [ 1128 / 5901 ] simplifiying candidate # 1546938044.642 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938044.643 * * [misc]simplify: iters left: 6 (51 enodes) 1546938044.662 * * [misc]simplify: iters left: 5 (138 enodes) 1546938044.718 * * [misc]simplify: iters left: 4 (412 enodes) 1546938044.974 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 1546938044.974 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938044.974 * * * * [misc]progress: [ 1129 / 5901 ] simplifiying candidate # 1546938044.974 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938044.975 * * [misc]simplify: iters left: 6 (46 enodes) 1546938044.992 * * [misc]simplify: iters left: 5 (124 enodes) 1546938045.042 * * [misc]simplify: iters left: 4 (377 enodes) 1546938045.283 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938045.283 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938045.283 * * * * [misc]progress: [ 1130 / 5901 ] simplifiying candidate # 1546938045.284 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938045.284 * * [misc]simplify: iters left: 6 (52 enodes) 1546938045.297 * * [misc]simplify: iters left: 5 (135 enodes) 1546938045.325 * * [misc]simplify: iters left: 4 (439 enodes) 1546938045.744 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 1546938045.744 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938045.744 * * * * [misc]progress: [ 1131 / 5901 ] simplifiying candidate # 1546938045.744 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938045.744 * * [misc]simplify: iters left: 6 (53 enodes) 1546938045.754 * * [misc]simplify: iters left: 5 (142 enodes) 1546938045.797 * * [misc]simplify: iters left: 4 (469 enodes) 1546938046.098 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))))) 1546938046.098 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938046.098 * * * * [misc]progress: [ 1132 / 5901 ] simplifiying candidate # 1546938046.099 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938046.099 * * [misc]simplify: iters left: 6 (53 enodes) 1546938046.113 * * [misc]simplify: iters left: 5 (142 enodes) 1546938046.145 * * [misc]simplify: iters left: 4 (467 enodes) 1546938046.481 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938046.481 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938046.481 * * * * [misc]progress: [ 1133 / 5901 ] simplifiying candidate # 1546938046.481 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938046.481 * * [misc]simplify: iters left: 6 (47 enodes) 1546938046.490 * * [misc]simplify: iters left: 5 (122 enodes) 1546938046.534 * * [misc]simplify: iters left: 4 (394 enodes) 1546938046.848 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938046.849 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938046.849 * * * * [misc]progress: [ 1134 / 5901 ] simplifiying candidate # 1546938046.849 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938046.850 * * [misc]simplify: iters left: 6 (52 enodes) 1546938046.869 * * [misc]simplify: iters left: 5 (136 enodes) 1546938046.915 * * [misc]simplify: iters left: 4 (414 enodes) 1546938047.161 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938047.161 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938047.162 * * * * [misc]progress: [ 1135 / 5901 ] simplifiying candidate # 1546938047.162 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938047.163 * * [misc]simplify: iters left: 6 (47 enodes) 1546938047.175 * * [misc]simplify: iters left: 5 (122 enodes) 1546938047.202 * * [misc]simplify: iters left: 4 (382 enodes) 1546938047.428 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ phi1 phi2))))) 1546938047.428 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938047.428 * * * * [misc]progress: [ 1136 / 5901 ] simplifiying candidate # 1546938047.428 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938047.429 * * [misc]simplify: iters left: 6 (52 enodes) 1546938047.446 * * [misc]simplify: iters left: 5 (136 enodes) 1546938047.489 * * [misc]simplify: iters left: 4 (414 enodes) 1546938047.702 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938047.702 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938047.702 * * * * [misc]progress: [ 1137 / 5901 ] simplifiying candidate # 1546938047.703 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938047.703 * * [misc]simplify: iters left: 6 (47 enodes) 1546938047.711 * * [misc]simplify: iters left: 5 (122 enodes) 1546938047.741 * * [misc]simplify: iters left: 4 (382 enodes) 1546938047.998 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ phi1 phi2))))) 1546938048.000 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938048.000 * * * * [misc]progress: [ 1138 / 5901 ] simplifiying candidate # 1546938048.000 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938048.001 * * [misc]simplify: iters left: 6 (52 enodes) 1546938048.020 * * [misc]simplify: iters left: 5 (135 enodes) 1546938048.071 * * [misc]simplify: iters left: 4 (441 enodes) 1546938048.388 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))))))) 1546938048.388 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938048.388 * * * * [misc]progress: [ 1139 / 5901 ] simplifiying candidate # 1546938048.389 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938048.389 * * [misc]simplify: iters left: 6 (53 enodes) 1546938048.399 * * [misc]simplify: iters left: 5 (142 enodes) 1546938048.439 * * [misc]simplify: iters left: 4 (471 enodes) 1546938048.840 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938048.840 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938048.841 * * * * [misc]progress: [ 1140 / 5901 ] simplifiying candidate # 1546938048.841 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938048.842 * * [misc]simplify: iters left: 6 (53 enodes) 1546938048.861 * * [misc]simplify: iters left: 5 (142 enodes) 1546938048.894 * * [misc]simplify: iters left: 4 (469 enodes) 1546938049.299 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938049.299 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938049.299 * * * * [misc]progress: [ 1141 / 5901 ] simplifiying candidate # 1546938049.300 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938049.301 * * [misc]simplify: iters left: 6 (47 enodes) 1546938049.317 * * [misc]simplify: iters left: 5 (122 enodes) 1546938049.351 * * [misc]simplify: iters left: 4 (396 enodes) 1546938049.610 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938049.610 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938049.610 * * * * [misc]progress: [ 1142 / 5901 ] simplifiying candidate # 1546938049.611 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938049.611 * * [misc]simplify: iters left: 6 (52 enodes) 1546938049.630 * * [misc]simplify: iters left: 5 (136 enodes) 1546938049.679 * * [misc]simplify: iters left: 4 (416 enodes) 1546938049.931 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938049.931 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938049.931 * * * * [misc]progress: [ 1143 / 5901 ] simplifiying candidate # 1546938049.931 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938049.931 * * [misc]simplify: iters left: 6 (47 enodes) 1546938049.940 * * [misc]simplify: iters left: 5 (122 enodes) 1546938049.974 * * [misc]simplify: iters left: 4 (384 enodes) 1546938050.203 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 1546938050.203 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938050.203 * * * * [misc]progress: [ 1144 / 5901 ] simplifiying candidate # 1546938050.204 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938050.204 * * [misc]simplify: iters left: 6 (52 enodes) 1546938050.213 * * [misc]simplify: iters left: 5 (136 enodes) 1546938050.266 * * [misc]simplify: iters left: 4 (416 enodes) 1546938050.519 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938050.519 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938050.519 * * * * [misc]progress: [ 1145 / 5901 ] simplifiying candidate # 1546938050.520 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938050.521 * * [misc]simplify: iters left: 6 (47 enodes) 1546938050.530 * * [misc]simplify: iters left: 5 (122 enodes) 1546938050.555 * * [misc]simplify: iters left: 4 (384 enodes) 1546938050.839 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 1546938050.840 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938050.840 * * * * [misc]progress: [ 1146 / 5901 ] simplifiying candidate # 1546938050.840 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938050.840 * * [misc]simplify: iters left: 6 (52 enodes) 1546938050.850 * * [misc]simplify: iters left: 5 (136 enodes) 1546938050.877 * * [misc]simplify: iters left: 4 (440 enodes) 1546938051.200 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) 1546938051.200 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938051.200 * * * * [misc]progress: [ 1147 / 5901 ] simplifiying candidate # 1546938051.201 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938051.202 * * [misc]simplify: iters left: 6 (53 enodes) 1546938051.219 * * [misc]simplify: iters left: 5 (143 enodes) 1546938051.273 * * [misc]simplify: iters left: 4 (470 enodes) 1546938051.558 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938051.558 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938051.559 * * * * [misc]progress: [ 1148 / 5901 ] simplifiying candidate # 1546938051.559 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938051.559 * * [misc]simplify: iters left: 6 (53 enodes) 1546938051.569 * * [misc]simplify: iters left: 5 (143 enodes) 1546938051.609 * * [misc]simplify: iters left: 4 (468 enodes) 1546938051.929 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938051.929 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938051.930 * * * * [misc]progress: [ 1149 / 5901 ] simplifiying candidate # 1546938051.930 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938051.931 * * [misc]simplify: iters left: 6 (47 enodes) 1546938051.947 * * [misc]simplify: iters left: 5 (123 enodes) 1546938051.998 * * [misc]simplify: iters left: 4 (395 enodes) 1546938052.244 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938052.244 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938052.244 * * * * [misc]progress: [ 1150 / 5901 ] simplifiying candidate # 1546938052.245 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938052.245 * * [misc]simplify: iters left: 6 (52 enodes) 1546938052.264 * * [misc]simplify: iters left: 5 (137 enodes) 1546938052.313 * * [misc]simplify: iters left: 4 (415 enodes) 1546938052.552 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 1546938052.553 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938052.553 * * * * [misc]progress: [ 1151 / 5901 ] simplifiying candidate # 1546938052.553 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938052.554 * * [misc]simplify: iters left: 6 (47 enodes) 1546938052.568 * * [misc]simplify: iters left: 5 (123 enodes) 1546938052.609 * * [misc]simplify: iters left: 4 (383 enodes) 1546938052.846 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938052.846 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938052.847 * * * * [misc]progress: [ 1152 / 5901 ] simplifiying candidate # 1546938052.847 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938052.847 * * [misc]simplify: iters left: 6 (52 enodes) 1546938052.864 * * [misc]simplify: iters left: 5 (137 enodes) 1546938052.894 * * [misc]simplify: iters left: 4 (415 enodes) 1546938053.215 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938053.216 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938053.217 * * * * [misc]progress: [ 1153 / 5901 ] simplifiying candidate # 1546938053.217 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938053.218 * * [misc]simplify: iters left: 6 (47 enodes) 1546938053.234 * * [misc]simplify: iters left: 5 (123 enodes) 1546938053.280 * * [misc]simplify: iters left: 4 (383 enodes) 1546938053.552 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938053.552 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938053.552 * * * * [misc]progress: [ 1154 / 5901 ] simplifiying candidate # 1546938053.553 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938053.553 * * [misc]simplify: iters left: 6 (52 enodes) 1546938053.564 * * [misc]simplify: iters left: 5 (136 enodes) 1546938053.607 * * [misc]simplify: iters left: 4 (442 enodes) 1546938053.931 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))))))) 1546938053.931 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938053.931 * * * * [misc]progress: [ 1155 / 5901 ] simplifiying candidate # 1546938053.932 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938053.932 * * [misc]simplify: iters left: 6 (53 enodes) 1546938053.942 * * [misc]simplify: iters left: 5 (143 enodes) 1546938053.970 * * [misc]simplify: iters left: 4 (472 enodes) 1546938054.409 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938054.409 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938054.409 * * * * [misc]progress: [ 1156 / 5901 ] simplifiying candidate # 1546938054.409 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938054.410 * * [misc]simplify: iters left: 6 (53 enodes) 1546938054.434 * * [misc]simplify: iters left: 5 (143 enodes) 1546938054.487 * * [misc]simplify: iters left: 4 (470 enodes) 1546938054.930 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938054.930 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938054.930 * * * * [misc]progress: [ 1157 / 5901 ] simplifiying candidate # 1546938054.931 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938054.931 * * [misc]simplify: iters left: 6 (47 enodes) 1546938054.949 * * [misc]simplify: iters left: 5 (123 enodes) 1546938054.997 * * [misc]simplify: iters left: 4 (397 enodes) 1546938055.245 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938055.245 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938055.246 * * * * [misc]progress: [ 1158 / 5901 ] simplifiying candidate # 1546938055.246 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938055.246 * * [misc]simplify: iters left: 6 (52 enodes) 1546938055.255 * * [misc]simplify: iters left: 5 (137 enodes) 1546938055.293 * * [misc]simplify: iters left: 4 (417 enodes) 1546938055.553 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938055.554 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938055.554 * * * * [misc]progress: [ 1159 / 5901 ] simplifiying candidate # 1546938055.554 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938055.555 * * [misc]simplify: iters left: 6 (47 enodes) 1546938055.563 * * [misc]simplify: iters left: 5 (123 enodes) 1546938055.590 * * [misc]simplify: iters left: 4 (385 enodes) 1546938055.849 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938055.849 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938055.850 * * * * [misc]progress: [ 1160 / 5901 ] simplifiying candidate # 1546938055.850 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938055.851 * * [misc]simplify: iters left: 6 (52 enodes) 1546938055.879 * * [misc]simplify: iters left: 5 (137 enodes) 1546938055.921 * * [misc]simplify: iters left: 4 (417 enodes) 1546938056.209 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) 1546938056.209 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938056.210 * * * * [misc]progress: [ 1161 / 5901 ] simplifiying candidate # 1546938056.210 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938056.211 * * [misc]simplify: iters left: 6 (47 enodes) 1546938056.227 * * [misc]simplify: iters left: 5 (123 enodes) 1546938056.272 * * [misc]simplify: iters left: 4 (385 enodes) 1546938056.521 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938056.521 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938056.521 * * * * [misc]progress: [ 1162 / 5901 ] simplifiying candidate # 1546938056.522 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938056.522 * * [misc]simplify: iters left: 6 (47 enodes) 1546938056.539 * * [misc]simplify: iters left: 5 (123 enodes) 1546938056.588 * * [misc]simplify: iters left: 4 (437 enodes) 1546938057.001 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) 1546938057.001 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938057.002 * * * * [misc]progress: [ 1163 / 5901 ] simplifiying candidate # 1546938057.002 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938057.003 * * [misc]simplify: iters left: 6 (48 enodes) 1546938057.020 * * [misc]simplify: iters left: 5 (130 enodes) 1546938057.063 * * [misc]simplify: iters left: 4 (468 enodes) 1546938057.403 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))))) 1546938057.403 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938057.404 * * * * [misc]progress: [ 1164 / 5901 ] simplifiying candidate # 1546938057.404 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938057.404 * * [misc]simplify: iters left: 6 (48 enodes) 1546938057.413 * * [misc]simplify: iters left: 5 (130 enodes) 1546938057.463 * * [misc]simplify: iters left: 4 (466 enodes) 1546938057.837 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))) 1546938057.837 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938057.837 * * * * [misc]progress: [ 1165 / 5901 ] simplifiying candidate # 1546938057.838 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938057.838 * * [misc]simplify: iters left: 6 (42 enodes) 1546938057.853 * * [misc]simplify: iters left: 5 (110 enodes) 1546938057.896 * * [misc]simplify: iters left: 4 (385 enodes) 1546938058.160 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) 1546938058.160 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938058.160 * * * * [misc]progress: [ 1166 / 5901 ] simplifiying candidate # 1546938058.161 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938058.162 * * [misc]simplify: iters left: 6 (47 enodes) 1546938058.179 * * [misc]simplify: iters left: 5 (124 enodes) 1546938058.228 * * [misc]simplify: iters left: 4 (409 enodes) 1546938058.470 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938058.470 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938058.470 * * * * [misc]progress: [ 1167 / 5901 ] simplifiying candidate # 1546938058.471 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938058.471 * * [misc]simplify: iters left: 6 (42 enodes) 1546938058.486 * * [misc]simplify: iters left: 5 (110 enodes) 1546938058.527 * * [misc]simplify: iters left: 4 (376 enodes) 1546938058.733 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))))) 1546938058.733 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938058.734 * * * * [misc]progress: [ 1168 / 5901 ] simplifiying candidate # 1546938058.734 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938058.735 * * [misc]simplify: iters left: 6 (47 enodes) 1546938058.751 * * [misc]simplify: iters left: 5 (124 enodes) 1546938058.802 * * [misc]simplify: iters left: 4 (409 enodes) 1546938059.100 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938059.100 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938059.100 * * * * [misc]progress: [ 1169 / 5901 ] simplifiying candidate # 1546938059.100 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938059.101 * * [misc]simplify: iters left: 6 (42 enodes) 1546938059.108 * * [misc]simplify: iters left: 5 (110 enodes) 1546938059.133 * * [misc]simplify: iters left: 4 (376 enodes) 1546938059.362 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))))) 1546938059.363 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938059.363 * * * * [misc]progress: [ 1170 / 5901 ] simplifiying candidate # 1546938059.363 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938059.364 * * [misc]simplify: iters left: 6 (47 enodes) 1546938059.380 * * [misc]simplify: iters left: 5 (122 enodes) 1546938059.404 * * [misc]simplify: iters left: 4 (412 enodes) 1546938059.731 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 1546938059.731 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938059.731 * * * * [misc]progress: [ 1171 / 5901 ] simplifiying candidate # 1546938059.731 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938059.732 * * [misc]simplify: iters left: 6 (48 enodes) 1546938059.740 * * [misc]simplify: iters left: 5 (129 enodes) 1546938059.771 * * [misc]simplify: iters left: 4 (443 enodes) 1546938060.175 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))))) 1546938060.175 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938060.175 * * * * [misc]progress: [ 1172 / 5901 ] simplifiying candidate # 1546938060.175 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938060.175 * * [misc]simplify: iters left: 6 (48 enodes) 1546938060.185 * * [misc]simplify: iters left: 5 (129 enodes) 1546938060.212 * * [misc]simplify: iters left: 4 (441 enodes) 1546938060.588 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) 1546938060.588 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938060.589 * * * * [misc]progress: [ 1173 / 5901 ] simplifiying candidate # 1546938060.589 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938060.590 * * [misc]simplify: iters left: 6 (42 enodes) 1546938060.605 * * [misc]simplify: iters left: 5 (109 enodes) 1546938060.645 * * [misc]simplify: iters left: 4 (353 enodes) 1546938060.890 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) 1546938060.890 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938060.890 * * * * [misc]progress: [ 1174 / 5901 ] simplifiying candidate # 1546938060.890 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938060.891 * * [misc]simplify: iters left: 6 (47 enodes) 1546938060.907 * * [misc]simplify: iters left: 5 (123 enodes) 1546938060.956 * * [misc]simplify: iters left: 4 (382 enodes) 1546938061.176 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938061.176 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938061.176 * * * * [misc]progress: [ 1175 / 5901 ] simplifiying candidate # 1546938061.176 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938061.177 * * [misc]simplify: iters left: 6 (42 enodes) 1546938061.184 * * [misc]simplify: iters left: 5 (110 enodes) 1546938061.206 * * [misc]simplify: iters left: 4 (341 enodes) 1546938061.377 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) 1546938061.377 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938061.377 * * * * [misc]progress: [ 1176 / 5901 ] simplifiying candidate # 1546938061.377 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938061.377 * * [misc]simplify: iters left: 6 (47 enodes) 1546938061.388 * * [misc]simplify: iters left: 5 (123 enodes) 1546938061.434 * * [misc]simplify: iters left: 4 (382 enodes) 1546938061.628 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938061.628 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938061.628 * * * * [misc]progress: [ 1177 / 5901 ] simplifiying candidate # 1546938061.628 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938061.629 * * [misc]simplify: iters left: 6 (42 enodes) 1546938061.640 * * [misc]simplify: iters left: 5 (110 enodes) 1546938061.678 * * [misc]simplify: iters left: 4 (341 enodes) 1546938061.843 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (+ phi1 phi2)))) 1546938061.844 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (+ phi1 phi2)))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938061.844 * * * * [misc]progress: [ 1178 / 5901 ] simplifiying candidate # 1546938061.844 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938061.844 * * [misc]simplify: iters left: 6 (43 enodes) 1546938061.852 * * [misc]simplify: iters left: 5 (106 enodes) 1546938061.873 * * [misc]simplify: iters left: 4 (358 enodes) 1546938062.130 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) 1546938062.130 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938062.131 * * * * [misc]progress: [ 1179 / 5901 ] simplifiying candidate # 1546938062.131 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938062.132 * * [misc]simplify: iters left: 6 (44 enodes) 1546938062.148 * * [misc]simplify: iters left: 5 (113 enodes) 1546938062.181 * * [misc]simplify: iters left: 4 (389 enodes) 1546938062.485 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) 1546938062.485 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ phi1 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938062.486 * * * * [misc]progress: [ 1180 / 5901 ] simplifiying candidate # 1546938062.486 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938062.487 * * [misc]simplify: iters left: 6 (44 enodes) 1546938062.502 * * [misc]simplify: iters left: 5 (113 enodes) 1546938062.544 * * [misc]simplify: iters left: 4 (387 enodes) 1546938062.815 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2)) (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) 1546938062.815 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)) (+ phi1 phi2)) (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938062.815 * * * * [misc]progress: [ 1181 / 5901 ] simplifiying candidate # 1546938062.816 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938062.816 * * [misc]simplify: iters left: 6 (38 enodes) 1546938062.823 * * [misc]simplify: iters left: 5 (93 enodes) 1546938062.846 * * [misc]simplify: iters left: 4 (306 enodes) 1546938063.056 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))))) 1546938063.056 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))) (* (+ phi1 phi2) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938063.056 * * * * [misc]progress: [ 1182 / 5901 ] simplifiying candidate # 1546938063.056 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938063.057 * * [misc]simplify: iters left: 6 (43 enodes) 1546938063.069 * * [misc]simplify: iters left: 5 (107 enodes) 1546938063.093 * * [misc]simplify: iters left: 4 (324 enodes) 1546938063.246 * [exit]simplify: Simplified to (sqrt (+ (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) 1546938063.246 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938063.247 * * * * [misc]progress: [ 1183 / 5901 ] simplifiying candidate # 1546938063.247 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938063.247 * * [misc]simplify: iters left: 6 (38 enodes) 1546938063.254 * * [misc]simplify: iters left: 5 (93 enodes) 1546938063.283 * * [misc]simplify: iters left: 4 (291 enodes) 1546938063.437 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) 1546938063.437 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938063.437 * * * * [misc]progress: [ 1184 / 5901 ] simplifiying candidate # 1546938063.438 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938063.438 * * [misc]simplify: iters left: 6 (43 enodes) 1546938063.453 * * [misc]simplify: iters left: 5 (107 enodes) 1546938063.482 * * [misc]simplify: iters left: 4 (324 enodes) 1546938063.696 * [exit]simplify: Simplified to (sqrt (+ (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) 1546938063.696 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938063.696 * * * * [misc]progress: [ 1185 / 5901 ] simplifiying candidate # 1546938063.696 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938063.697 * * [misc]simplify: iters left: 6 (38 enodes) 1546938063.703 * * [misc]simplify: iters left: 5 (93 enodes) 1546938063.721 * * [misc]simplify: iters left: 4 (291 enodes) 1546938063.871 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) 1546938063.872 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))) (+ phi1 phi2)) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938063.872 * * * * [misc]progress: [ 1186 / 5901 ] simplifiying candidate # 1546938063.872 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938063.872 * * [misc]simplify: iters left: 6 (47 enodes) 1546938063.881 * * [misc]simplify: iters left: 5 (124 enodes) 1546938063.906 * * [misc]simplify: iters left: 4 (407 enodes) 1546938064.235 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938064.235 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938064.235 * * * * [misc]progress: [ 1187 / 5901 ] simplifiying candidate # 1546938064.235 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938064.236 * * [misc]simplify: iters left: 6 (48 enodes) 1546938064.253 * * [misc]simplify: iters left: 5 (131 enodes) 1546938064.309 * * [misc]simplify: iters left: 4 (438 enodes) 1546938064.636 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))))) 1546938064.636 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938064.636 * * * * [misc]progress: [ 1188 / 5901 ] simplifiying candidate # 1546938064.636 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938064.637 * * [misc]simplify: iters left: 6 (48 enodes) 1546938064.649 * * [misc]simplify: iters left: 5 (131 enodes) 1546938064.685 * * [misc]simplify: iters left: 4 (436 enodes) 1546938065.080 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) 1546938065.081 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938065.081 * * * * [misc]progress: [ 1189 / 5901 ] simplifiying candidate # 1546938065.081 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938065.082 * * [misc]simplify: iters left: 6 (42 enodes) 1546938065.095 * * [misc]simplify: iters left: 5 (111 enodes) 1546938065.141 * * [misc]simplify: iters left: 4 (355 enodes) 1546938065.406 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))))))) 1546938065.406 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938065.407 * * * * [misc]progress: [ 1190 / 5901 ] simplifiying candidate # 1546938065.407 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938065.408 * * [misc]simplify: iters left: 6 (47 enodes) 1546938065.424 * * [misc]simplify: iters left: 5 (125 enodes) 1546938065.475 * * [misc]simplify: iters left: 4 (379 enodes) 1546938065.711 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938065.711 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938065.711 * * * * [misc]progress: [ 1191 / 5901 ] simplifiying candidate # 1546938065.712 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938065.712 * * [misc]simplify: iters left: 6 (42 enodes) 1546938065.719 * * [misc]simplify: iters left: 5 (111 enodes) 1546938065.756 * * [misc]simplify: iters left: 4 (346 enodes) 1546938065.956 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 1546938065.956 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938065.957 * * * * [misc]progress: [ 1192 / 5901 ] simplifiying candidate # 1546938065.957 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938065.957 * * [misc]simplify: iters left: 6 (47 enodes) 1546938065.969 * * [misc]simplify: iters left: 5 (125 enodes) 1546938066.002 * * [misc]simplify: iters left: 4 (379 enodes) 1546938066.243 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938066.243 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938066.243 * * * * [misc]progress: [ 1193 / 5901 ] simplifiying candidate # 1546938066.243 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938066.243 * * [misc]simplify: iters left: 6 (42 enodes) 1546938066.251 * * [misc]simplify: iters left: 5 (111 enodes) 1546938066.284 * * [misc]simplify: iters left: 4 (346 enodes) 1546938066.461 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 1546938066.461 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938066.461 * * * * [misc]progress: [ 1194 / 5901 ] simplifiying candidate # 1546938066.461 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938066.462 * * [misc]simplify: iters left: 6 (48 enodes) 1546938066.470 * * [misc]simplify: iters left: 5 (121 enodes) 1546938066.498 * * [misc]simplify: iters left: 4 (413 enodes) 1546938067.270 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938067.270 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938067.270 * * * * [misc]progress: [ 1195 / 5901 ] simplifiying candidate # 1546938067.270 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938067.271 * * [misc]simplify: iters left: 6 (49 enodes) 1546938067.280 * * [misc]simplify: iters left: 5 (128 enodes) 1546938067.321 * * [misc]simplify: iters left: 4 (444 enodes) 1546938067.673 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 1546938067.673 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938067.673 * * * * [misc]progress: [ 1196 / 5901 ] simplifiying candidate # 1546938067.674 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938067.674 * * [misc]simplify: iters left: 6 (49 enodes) 1546938067.692 * * [misc]simplify: iters left: 5 (128 enodes) 1546938067.741 * * [misc]simplify: iters left: 4 (442 enodes) 1546938068.131 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 1546938068.131 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938068.131 * * * * [misc]progress: [ 1197 / 5901 ] simplifiying candidate # 1546938068.131 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938068.131 * * [misc]simplify: iters left: 6 (43 enodes) 1546938068.139 * * [misc]simplify: iters left: 5 (108 enodes) 1546938068.168 * * [misc]simplify: iters left: 4 (361 enodes) 1546938068.379 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938068.379 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938068.380 * * * * [misc]progress: [ 1198 / 5901 ] simplifiying candidate # 1546938068.380 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938068.381 * * [misc]simplify: iters left: 6 (48 enodes) 1546938068.395 * * [misc]simplify: iters left: 5 (122 enodes) 1546938068.419 * * [misc]simplify: iters left: 4 (385 enodes) 1546938068.616 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938068.616 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938068.616 * * * * [misc]progress: [ 1199 / 5901 ] simplifiying candidate # 1546938068.617 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938068.617 * * [misc]simplify: iters left: 6 (43 enodes) 1546938068.624 * * [misc]simplify: iters left: 5 (108 enodes) 1546938068.645 * * [misc]simplify: iters left: 4 (352 enodes) 1546938068.879 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938068.879 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938068.879 * * * * [misc]progress: [ 1200 / 5901 ] simplifiying candidate # 1546938068.880 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938068.880 * * [misc]simplify: iters left: 6 (48 enodes) 1546938068.897 * * [misc]simplify: iters left: 5 (122 enodes) 1546938068.921 * * [misc]simplify: iters left: 4 (385 enodes) 1546938069.140 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938069.140 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938069.140 * * * * [misc]progress: [ 1201 / 5901 ] simplifiying candidate # 1546938069.141 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938069.141 * * [misc]simplify: iters left: 6 (43 enodes) 1546938069.162 * * [misc]simplify: iters left: 5 (108 enodes) 1546938069.186 * * [misc]simplify: iters left: 4 (352 enodes) 1546938069.392 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938069.392 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938069.392 * * * * [misc]progress: [ 1202 / 5901 ] simplifiying candidate # 1546938069.392 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938069.393 * * [misc]simplify: iters left: 6 (48 enodes) 1546938069.402 * * [misc]simplify: iters left: 5 (122 enodes) 1546938069.451 * * [misc]simplify: iters left: 4 (417 enodes) 1546938069.859 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938069.859 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938069.859 * * * * [misc]progress: [ 1203 / 5901 ] simplifiying candidate # 1546938069.859 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938069.859 * * [misc]simplify: iters left: 6 (49 enodes) 1546938069.869 * * [misc]simplify: iters left: 5 (129 enodes) 1546938069.923 * * [misc]simplify: iters left: 4 (448 enodes) 1546938070.291 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (+ phi1 phi2)) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 1546938070.291 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (+ phi1 phi2)) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938070.291 * * * * [misc]progress: [ 1204 / 5901 ] simplifiying candidate # 1546938070.292 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938070.292 * * [misc]simplify: iters left: 6 (49 enodes) 1546938070.306 * * [misc]simplify: iters left: 5 (129 enodes) 1546938070.341 * * [misc]simplify: iters left: 4 (446 enodes) 1546938070.678 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) 1546938070.678 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938070.678 * * * * [misc]progress: [ 1205 / 5901 ] simplifiying candidate # 1546938070.678 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938070.678 * * [misc]simplify: iters left: 6 (43 enodes) 1546938070.686 * * [misc]simplify: iters left: 5 (109 enodes) 1546938070.728 * * [misc]simplify: iters left: 4 (365 enodes) 1546938070.961 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938070.961 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938070.962 * * * * [misc]progress: [ 1206 / 5901 ] simplifiying candidate # 1546938070.962 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938070.962 * * [misc]simplify: iters left: 6 (48 enodes) 1546938070.971 * * [misc]simplify: iters left: 5 (123 enodes) 1546938071.010 * * [misc]simplify: iters left: 4 (389 enodes) 1546938071.278 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938071.278 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938071.278 * * * * [misc]progress: [ 1207 / 5901 ] simplifiying candidate # 1546938071.279 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938071.279 * * [misc]simplify: iters left: 6 (43 enodes) 1546938071.295 * * [misc]simplify: iters left: 5 (109 enodes) 1546938071.334 * * [misc]simplify: iters left: 4 (356 enodes) 1546938071.570 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938071.571 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938071.571 * * * * [misc]progress: [ 1208 / 5901 ] simplifiying candidate # 1546938071.571 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938071.571 * * [misc]simplify: iters left: 6 (48 enodes) 1546938071.580 * * [misc]simplify: iters left: 5 (123 enodes) 1546938071.604 * * [misc]simplify: iters left: 4 (389 enodes) 1546938071.863 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938071.863 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938071.863 * * * * [misc]progress: [ 1209 / 5901 ] simplifiying candidate # 1546938071.864 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938071.864 * * [misc]simplify: iters left: 6 (43 enodes) 1546938071.879 * * [misc]simplify: iters left: 5 (109 enodes) 1546938071.901 * * [misc]simplify: iters left: 4 (356 enodes) 1546938072.069 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938072.069 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938072.069 * * * * [misc]progress: [ 1210 / 5901 ] simplifiying candidate # 1546938072.069 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938072.070 * * [misc]simplify: iters left: 6 (48 enodes) 1546938072.081 * * [misc]simplify: iters left: 5 (122 enodes) 1546938072.108 * * [misc]simplify: iters left: 4 (414 enodes) 1546938072.416 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938072.416 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938072.416 * * * * [misc]progress: [ 1211 / 5901 ] simplifiying candidate # 1546938072.417 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938072.417 * * [misc]simplify: iters left: 6 (49 enodes) 1546938072.426 * * [misc]simplify: iters left: 5 (129 enodes) 1546938072.463 * * [misc]simplify: iters left: 4 (445 enodes) 1546938072.812 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938072.812 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938072.812 * * * * [misc]progress: [ 1212 / 5901 ] simplifiying candidate # 1546938072.812 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938072.813 * * [misc]simplify: iters left: 6 (49 enodes) 1546938072.821 * * [misc]simplify: iters left: 5 (129 enodes) 1546938072.870 * * [misc]simplify: iters left: 4 (443 enodes) 1546938073.216 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))))))) 1546938073.216 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938073.216 * * * * [misc]progress: [ 1213 / 5901 ] simplifiying candidate # 1546938073.216 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938073.217 * * [misc]simplify: iters left: 6 (43 enodes) 1546938073.224 * * [misc]simplify: iters left: 5 (109 enodes) 1546938073.254 * * [misc]simplify: iters left: 4 (362 enodes) 1546938073.511 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) 1546938073.511 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938073.511 * * * * [misc]progress: [ 1214 / 5901 ] simplifiying candidate # 1546938073.512 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938073.516 * * [misc]simplify: iters left: 6 (48 enodes) 1546938073.533 * * [misc]simplify: iters left: 5 (123 enodes) 1546938073.579 * * [misc]simplify: iters left: 4 (386 enodes) 1546938073.814 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938073.814 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938073.814 * * * * [misc]progress: [ 1215 / 5901 ] simplifiying candidate # 1546938073.815 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938073.815 * * [misc]simplify: iters left: 6 (43 enodes) 1546938073.826 * * [misc]simplify: iters left: 5 (109 enodes) 1546938073.846 * * [misc]simplify: iters left: 4 (353 enodes) 1546938074.022 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938074.022 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938074.022 * * * * [misc]progress: [ 1216 / 5901 ] simplifiying candidate # 1546938074.022 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938074.023 * * [misc]simplify: iters left: 6 (48 enodes) 1546938074.031 * * [misc]simplify: iters left: 5 (123 enodes) 1546938074.057 * * [misc]simplify: iters left: 4 (386 enodes) 1546938074.296 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938074.296 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938074.297 * * * * [misc]progress: [ 1217 / 5901 ] simplifiying candidate # 1546938074.297 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938074.298 * * [misc]simplify: iters left: 6 (43 enodes) 1546938074.313 * * [misc]simplify: iters left: 5 (109 enodes) 1546938074.354 * * [misc]simplify: iters left: 4 (353 enodes) 1546938074.567 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938074.567 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938074.568 * * * * [misc]progress: [ 1218 / 5901 ] simplifiying candidate # 1546938074.568 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938074.568 * * [misc]simplify: iters left: 6 (48 enodes) 1546938074.577 * * [misc]simplify: iters left: 5 (122 enodes) 1546938074.610 * * [misc]simplify: iters left: 4 (417 enodes) 1546938074.979 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938074.979 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938074.979 * * * * [misc]progress: [ 1219 / 5901 ] simplifiying candidate # 1546938074.980 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938074.980 * * [misc]simplify: iters left: 6 (49 enodes) 1546938074.997 * * [misc]simplify: iters left: 5 (129 enodes) 1546938075.047 * * [misc]simplify: iters left: 4 (448 enodes) 1546938075.384 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) (* (* (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938075.384 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) (* (* (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938075.384 * * * * [misc]progress: [ 1220 / 5901 ] simplifiying candidate # 1546938075.384 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938075.384 * * [misc]simplify: iters left: 6 (49 enodes) 1546938075.393 * * [misc]simplify: iters left: 5 (129 enodes) 1546938075.419 * * [misc]simplify: iters left: 4 (446 enodes) 1546938075.755 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))))))) 1546938075.755 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938075.755 * * * * [misc]progress: [ 1221 / 5901 ] simplifiying candidate # 1546938075.755 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938075.756 * * [misc]simplify: iters left: 6 (43 enodes) 1546938075.764 * * [misc]simplify: iters left: 5 (109 enodes) 1546938075.787 * * [misc]simplify: iters left: 4 (365 enodes) 1546938076.072 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) 1546938076.072 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938076.072 * * * * [misc]progress: [ 1222 / 5901 ] simplifiying candidate # 1546938076.073 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938076.073 * * [misc]simplify: iters left: 6 (48 enodes) 1546938076.090 * * [misc]simplify: iters left: 5 (123 enodes) 1546938076.138 * * [misc]simplify: iters left: 4 (389 enodes) 1546938076.367 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938076.367 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938076.367 * * * * [misc]progress: [ 1223 / 5901 ] simplifiying candidate # 1546938076.367 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938076.368 * * [misc]simplify: iters left: 6 (43 enodes) 1546938076.375 * * [misc]simplify: iters left: 5 (109 enodes) 1546938076.421 * * [misc]simplify: iters left: 4 (356 enodes) 1546938076.715 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938076.715 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938076.715 * * * * [misc]progress: [ 1224 / 5901 ] simplifiying candidate # 1546938076.715 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938076.716 * * [misc]simplify: iters left: 6 (48 enodes) 1546938076.724 * * [misc]simplify: iters left: 5 (123 enodes) 1546938076.747 * * [misc]simplify: iters left: 4 (389 enodes) 1546938076.993 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938076.993 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938076.993 * * * * [misc]progress: [ 1225 / 5901 ] simplifiying candidate # 1546938076.994 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938076.994 * * [misc]simplify: iters left: 6 (43 enodes) 1546938077.003 * * [misc]simplify: iters left: 5 (109 enodes) 1546938077.046 * * [misc]simplify: iters left: 4 (356 enodes) 1546938077.317 * [exit]simplify: Simplified to (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938077.317 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- phi1 phi2) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938077.317 * * * * [misc]progress: [ 1226 / 5901 ] simplifiying candidate # 1546938077.317 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938077.318 * * [misc]simplify: iters left: 6 (51 enodes) 1546938077.336 * * [misc]simplify: iters left: 5 (139 enodes) 1546938077.391 * * [misc]simplify: iters left: 4 (484 enodes) 1546938077.835 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938077.835 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938077.835 * * * * [misc]progress: [ 1227 / 5901 ] simplifiying candidate # 1546938077.836 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938077.836 * * [misc]simplify: iters left: 6 (52 enodes) 1546938077.846 * * [misc]simplify: iters left: 5 (146 enodes) 1546938077.889 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938077.889 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938077.889 * * * * [misc]progress: [ 1228 / 5901 ] simplifiying candidate # 1546938077.889 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938077.890 * * [misc]simplify: iters left: 6 (52 enodes) 1546938077.903 * * [misc]simplify: iters left: 5 (146 enodes) 1546938077.961 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938077.961 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938077.961 * * * * [misc]progress: [ 1229 / 5901 ] simplifiying candidate # 1546938077.962 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938077.962 * * [misc]simplify: iters left: 6 (46 enodes) 1546938077.971 * * [misc]simplify: iters left: 5 (126 enodes) 1546938078.012 * * [misc]simplify: iters left: 4 (432 enodes) 1546938078.306 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938078.306 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938078.307 * * * * [misc]progress: [ 1230 / 5901 ] simplifiying candidate # 1546938078.307 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938078.307 * * [misc]simplify: iters left: 6 (51 enodes) 1546938078.316 * * [misc]simplify: iters left: 5 (140 enodes) 1546938078.353 * * [misc]simplify: iters left: 4 (456 enodes) 1546938078.683 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938078.683 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938078.684 * * * * [misc]progress: [ 1231 / 5901 ] simplifiying candidate # 1546938078.684 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938078.685 * * [misc]simplify: iters left: 6 (46 enodes) 1546938078.701 * * [misc]simplify: iters left: 5 (126 enodes) 1546938078.750 * * [misc]simplify: iters left: 4 (423 enodes) 1546938079.059 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938079.060 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938079.060 * * * * [misc]progress: [ 1232 / 5901 ] simplifiying candidate # 1546938079.060 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938079.061 * * [misc]simplify: iters left: 6 (51 enodes) 1546938079.079 * * [misc]simplify: iters left: 5 (140 enodes) 1546938079.136 * * [misc]simplify: iters left: 4 (456 enodes) 1546938079.512 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938079.512 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938079.513 * * * * [misc]progress: [ 1233 / 5901 ] simplifiying candidate # 1546938079.513 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938079.514 * * [misc]simplify: iters left: 6 (46 enodes) 1546938079.530 * * [misc]simplify: iters left: 5 (126 enodes) 1546938079.577 * * [misc]simplify: iters left: 4 (423 enodes) 1546938079.933 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938079.934 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938079.934 * * * * [misc]progress: [ 1234 / 5901 ] simplifiying candidate # 1546938079.934 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938079.935 * * [misc]simplify: iters left: 6 (51 enodes) 1546938079.959 * * [misc]simplify: iters left: 5 (135 enodes) 1546938080.011 * * [misc]simplify: iters left: 4 (431 enodes) 1546938080.323 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938080.323 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938080.323 * * * * [misc]progress: [ 1235 / 5901 ] simplifiying candidate # 1546938080.324 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938080.324 * * [misc]simplify: iters left: 6 (52 enodes) 1546938080.334 * * [misc]simplify: iters left: 5 (142 enodes) 1546938080.377 * * [misc]simplify: iters left: 4 (462 enodes) 1546938080.758 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938080.758 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938080.758 * * * * [misc]progress: [ 1236 / 5901 ] simplifiying candidate # 1546938080.759 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938080.759 * * [misc]simplify: iters left: 6 (52 enodes) 1546938080.783 * * [misc]simplify: iters left: 5 (142 enodes) 1546938080.812 * * [misc]simplify: iters left: 4 (460 enodes) 1546938081.154 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938081.154 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938081.154 * * * * [misc]progress: [ 1237 / 5901 ] simplifiying candidate # 1546938081.154 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938081.155 * * [misc]simplify: iters left: 6 (46 enodes) 1546938081.170 * * [misc]simplify: iters left: 5 (124 enodes) 1546938081.209 * * [misc]simplify: iters left: 4 (384 enodes) 1546938081.432 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938081.432 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938081.432 * * * * [misc]progress: [ 1238 / 5901 ] simplifiying candidate # 1546938081.433 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938081.433 * * [misc]simplify: iters left: 6 (51 enodes) 1546938081.455 * * [misc]simplify: iters left: 5 (137 enodes) 1546938081.504 * * [misc]simplify: iters left: 4 (400 enodes) 1546938081.784 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938081.784 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938081.784 * * * * [misc]progress: [ 1239 / 5901 ] simplifiying candidate # 1546938081.785 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938081.785 * * [misc]simplify: iters left: 6 (46 enodes) 1546938081.799 * * [misc]simplify: iters left: 5 (123 enodes) 1546938081.844 * * [misc]simplify: iters left: 4 (375 enodes) 1546938082.177 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938082.177 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938082.177 * * * * [misc]progress: [ 1240 / 5901 ] simplifiying candidate # 1546938082.178 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938082.178 * * [misc]simplify: iters left: 6 (51 enodes) 1546938082.194 * * [misc]simplify: iters left: 5 (137 enodes) 1546938082.221 * * [misc]simplify: iters left: 4 (400 enodes) 1546938082.453 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938082.453 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938082.457 * * * * [misc]progress: [ 1241 / 5901 ] simplifiying candidate # 1546938082.457 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938082.458 * * [misc]simplify: iters left: 6 (46 enodes) 1546938082.467 * * [misc]simplify: iters left: 5 (123 enodes) 1546938082.499 * * [misc]simplify: iters left: 4 (375 enodes) 1546938082.797 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938082.797 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938082.798 * * * * [misc]progress: [ 1242 / 5901 ] simplifiying candidate # 1546938082.798 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938082.799 * * [misc]simplify: iters left: 6 (47 enodes) 1546938082.815 * * [misc]simplify: iters left: 5 (122 enodes) 1546938082.857 * * [misc]simplify: iters left: 4 (397 enodes) 1546938083.132 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938083.132 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938083.132 * * * * [misc]progress: [ 1243 / 5901 ] simplifiying candidate # 1546938083.133 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938083.133 * * [misc]simplify: iters left: 6 (48 enodes) 1546938083.150 * * [misc]simplify: iters left: 5 (129 enodes) 1546938083.197 * * [misc]simplify: iters left: 4 (428 enodes) 1546938083.541 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))))) 1546938083.541 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938083.541 * * * * [misc]progress: [ 1244 / 5901 ] simplifiying candidate # 1546938083.542 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938083.542 * * [misc]simplify: iters left: 6 (48 enodes) 1546938083.557 * * [misc]simplify: iters left: 5 (129 enodes) 1546938083.589 * * [misc]simplify: iters left: 4 (426 enodes) 1546938083.968 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) 1546938083.968 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2)))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938083.968 * * * * [misc]progress: [ 1245 / 5901 ] simplifiying candidate # 1546938083.968 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938083.969 * * [misc]simplify: iters left: 6 (42 enodes) 1546938083.984 * * [misc]simplify: iters left: 5 (110 enodes) 1546938084.006 * * [misc]simplify: iters left: 4 (347 enodes) 1546938084.221 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938084.222 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938084.222 * * * * [misc]progress: [ 1246 / 5901 ] simplifiying candidate # 1546938084.222 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938084.222 * * [misc]simplify: iters left: 6 (47 enodes) 1546938084.231 * * [misc]simplify: iters left: 5 (124 enodes) 1546938084.263 * * [misc]simplify: iters left: 4 (365 enodes) 1546938084.439 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938084.439 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938084.439 * * * * [misc]progress: [ 1247 / 5901 ] simplifiying candidate # 1546938084.440 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938084.440 * * [misc]simplify: iters left: 6 (42 enodes) 1546938084.454 * * [misc]simplify: iters left: 5 (111 enodes) 1546938084.485 * * [misc]simplify: iters left: 4 (334 enodes) 1546938084.698 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938084.698 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938084.698 * * * * [misc]progress: [ 1248 / 5901 ] simplifiying candidate # 1546938084.699 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938084.699 * * [misc]simplify: iters left: 6 (47 enodes) 1546938084.717 * * [misc]simplify: iters left: 5 (124 enodes) 1546938084.767 * * [misc]simplify: iters left: 4 (365 enodes) 1546938084.947 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938084.947 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938084.947 * * * * [misc]progress: [ 1249 / 5901 ] simplifiying candidate # 1546938084.947 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938084.948 * * [misc]simplify: iters left: 6 (42 enodes) 1546938084.955 * * [misc]simplify: iters left: 5 (111 enodes) 1546938084.978 * * [misc]simplify: iters left: 4 (334 enodes) 1546938085.199 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938085.199 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938085.199 * * * * [misc]progress: [ 1250 / 5901 ] simplifiying candidate # 1546938085.199 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938085.200 * * [misc]simplify: iters left: 6 (47 enodes) 1546938085.213 * * [misc]simplify: iters left: 5 (126 enodes) 1546938085.243 * * [misc]simplify: iters left: 4 (411 enodes) 1546938085.588 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938085.588 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938085.588 * * * * [misc]progress: [ 1251 / 5901 ] simplifiying candidate # 1546938085.588 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938085.588 * * [misc]simplify: iters left: 6 (48 enodes) 1546938085.597 * * [misc]simplify: iters left: 5 (133 enodes) 1546938085.630 * * [misc]simplify: iters left: 4 (442 enodes) 1546938085.994 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 1546938085.994 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938085.994 * * * * [misc]progress: [ 1252 / 5901 ] simplifiying candidate # 1546938085.994 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938085.995 * * [misc]simplify: iters left: 6 (48 enodes) 1546938086.005 * * [misc]simplify: iters left: 5 (133 enodes) 1546938086.048 * * [misc]simplify: iters left: 4 (440 enodes) 1546938086.431 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 1546938086.431 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938086.432 * * * * [misc]progress: [ 1253 / 5901 ] simplifiying candidate # 1546938086.432 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938086.433 * * [misc]simplify: iters left: 6 (42 enodes) 1546938086.450 * * [misc]simplify: iters left: 5 (113 enodes) 1546938086.499 * * [misc]simplify: iters left: 4 (359 enodes) 1546938086.710 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 1546938086.710 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938086.710 * * * * [misc]progress: [ 1254 / 5901 ] simplifiying candidate # 1546938086.711 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938086.712 * * [misc]simplify: iters left: 6 (47 enodes) 1546938086.729 * * [misc]simplify: iters left: 5 (127 enodes) 1546938086.779 * * [misc]simplify: iters left: 4 (383 enodes) 1546938087.032 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938087.032 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938087.032 * * * * [misc]progress: [ 1255 / 5901 ] simplifiying candidate # 1546938087.033 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938087.033 * * [misc]simplify: iters left: 6 (42 enodes) 1546938087.049 * * [misc]simplify: iters left: 5 (113 enodes) 1546938087.092 * * [misc]simplify: iters left: 4 (350 enodes) 1546938087.289 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 1546938087.289 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938087.289 * * * * [misc]progress: [ 1256 / 5901 ] simplifiying candidate # 1546938087.290 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938087.290 * * [misc]simplify: iters left: 6 (47 enodes) 1546938087.299 * * [misc]simplify: iters left: 5 (127 enodes) 1546938087.348 * * [misc]simplify: iters left: 4 (383 enodes) 1546938087.591 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938087.591 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938087.591 * * * * [misc]progress: [ 1257 / 5901 ] simplifiying candidate # 1546938087.592 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938087.592 * * [misc]simplify: iters left: 6 (42 enodes) 1546938087.607 * * [misc]simplify: iters left: 5 (113 enodes) 1546938087.653 * * [misc]simplify: iters left: 4 (350 enodes) 1546938087.865 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) 1546938087.865 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938087.865 * * * * [misc]progress: [ 1258 / 5901 ] simplifiying candidate # 1546938087.865 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938087.866 * * [misc]simplify: iters left: 6 (52 enodes) 1546938087.875 * * [misc]simplify: iters left: 5 (137 enodes) 1546938087.905 * * [misc]simplify: iters left: 4 (458 enodes) 1546938088.323 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) 1546938088.324 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938088.324 * * * * [misc]progress: [ 1259 / 5901 ] simplifiying candidate # 1546938088.324 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938088.325 * * [misc]simplify: iters left: 6 (53 enodes) 1546938088.349 * * [misc]simplify: iters left: 5 (144 enodes) 1546938088.396 * * [misc]simplify: iters left: 4 (489 enodes) 1546938088.801 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938088.802 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938088.802 * * * * [misc]progress: [ 1260 / 5901 ] simplifiying candidate # 1546938088.803 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938088.803 * * [misc]simplify: iters left: 6 (53 enodes) 1546938088.812 * * [misc]simplify: iters left: 5 (144 enodes) 1546938088.856 * * [misc]simplify: iters left: 4 (487 enodes) 1546938089.263 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938089.263 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938089.263 * * * * [misc]progress: [ 1261 / 5901 ] simplifiying candidate # 1546938089.264 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938089.264 * * [misc]simplify: iters left: 6 (47 enodes) 1546938089.283 * * [misc]simplify: iters left: 5 (124 enodes) 1546938089.316 * * [misc]simplify: iters left: 4 (406 enodes) 1546938089.570 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938089.570 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938089.570 * * * * [misc]progress: [ 1262 / 5901 ] simplifiying candidate # 1546938089.570 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938089.570 * * [misc]simplify: iters left: 6 (52 enodes) 1546938089.579 * * [misc]simplify: iters left: 5 (138 enodes) 1546938089.609 * * [misc]simplify: iters left: 4 (430 enodes) 1546938089.877 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938089.877 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938089.877 * * * * [misc]progress: [ 1263 / 5901 ] simplifiying candidate # 1546938089.878 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938089.878 * * [misc]simplify: iters left: 6 (47 enodes) 1546938089.890 * * [misc]simplify: iters left: 5 (124 enodes) 1546938089.914 * * [misc]simplify: iters left: 4 (397 enodes) 1546938090.107 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938090.107 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938090.107 * * * * [misc]progress: [ 1264 / 5901 ] simplifiying candidate # 1546938090.107 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938090.107 * * [misc]simplify: iters left: 6 (52 enodes) 1546938090.117 * * [misc]simplify: iters left: 5 (138 enodes) 1546938090.144 * * [misc]simplify: iters left: 4 (430 enodes) 1546938090.450 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938090.450 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938090.450 * * * * [misc]progress: [ 1265 / 5901 ] simplifiying candidate # 1546938090.450 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938090.450 * * [misc]simplify: iters left: 6 (47 enodes) 1546938090.459 * * [misc]simplify: iters left: 5 (124 enodes) 1546938090.495 * * [misc]simplify: iters left: 4 (397 enodes) 1546938090.712 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938090.712 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938090.712 * * * * [misc]progress: [ 1266 / 5901 ] simplifiying candidate # 1546938090.713 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938090.713 * * [misc]simplify: iters left: 6 (52 enodes) 1546938090.722 * * [misc]simplify: iters left: 5 (137 enodes) 1546938090.772 * * [misc]simplify: iters left: 4 (461 enodes) 1546938091.179 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) 1546938091.179 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938091.180 * * * * [misc]progress: [ 1267 / 5901 ] simplifiying candidate # 1546938091.180 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938091.180 * * [misc]simplify: iters left: 6 (53 enodes) 1546938091.190 * * [misc]simplify: iters left: 5 (144 enodes) 1546938091.225 * * [misc]simplify: iters left: 4 (492 enodes) 1546938091.640 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938091.640 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938091.641 * * * * [misc]progress: [ 1268 / 5901 ] simplifiying candidate # 1546938091.641 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938091.642 * * [misc]simplify: iters left: 6 (53 enodes) 1546938091.660 * * [misc]simplify: iters left: 5 (144 enodes) 1546938091.706 * * [misc]simplify: iters left: 4 (490 enodes) 1546938092.134 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938092.134 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938092.134 * * * * [misc]progress: [ 1269 / 5901 ] simplifiying candidate # 1546938092.134 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938092.135 * * [misc]simplify: iters left: 6 (47 enodes) 1546938092.146 * * [misc]simplify: iters left: 5 (124 enodes) 1546938092.197 * * [misc]simplify: iters left: 4 (409 enodes) 1546938093.135 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938093.135 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938093.135 * * * * [misc]progress: [ 1270 / 5901 ] simplifiying candidate # 1546938093.135 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938093.136 * * [misc]simplify: iters left: 6 (52 enodes) 1546938093.149 * * [misc]simplify: iters left: 5 (138 enodes) 1546938093.176 * * [misc]simplify: iters left: 4 (433 enodes) 1546938093.465 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938093.465 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938093.465 * * * * [misc]progress: [ 1271 / 5901 ] simplifiying candidate # 1546938093.466 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938093.466 * * [misc]simplify: iters left: 6 (47 enodes) 1546938093.482 * * [misc]simplify: iters left: 5 (124 enodes) 1546938093.522 * * [misc]simplify: iters left: 4 (400 enodes) 1546938093.779 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938093.780 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938093.780 * * * * [misc]progress: [ 1272 / 5901 ] simplifiying candidate # 1546938093.780 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938093.780 * * [misc]simplify: iters left: 6 (52 enodes) 1546938093.789 * * [misc]simplify: iters left: 5 (138 enodes) 1546938093.823 * * [misc]simplify: iters left: 4 (433 enodes) 1546938094.144 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938094.144 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938094.144 * * * * [misc]progress: [ 1273 / 5901 ] simplifiying candidate # 1546938094.145 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938094.145 * * [misc]simplify: iters left: 6 (47 enodes) 1546938094.153 * * [misc]simplify: iters left: 5 (124 enodes) 1546938094.191 * * [misc]simplify: iters left: 4 (400 enodes) 1546938094.399 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938094.399 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938094.400 * * * * [misc]progress: [ 1274 / 5901 ] simplifiying candidate # 1546938094.400 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938094.400 * * [misc]simplify: iters left: 6 (52 enodes) 1546938094.410 * * [misc]simplify: iters left: 5 (138 enodes) 1546938094.454 * * [misc]simplify: iters left: 4 (459 enodes) 1546938094.819 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) 1546938094.819 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938094.820 * * * * [misc]progress: [ 1275 / 5901 ] simplifiying candidate # 1546938094.820 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938094.821 * * [misc]simplify: iters left: 6 (53 enodes) 1546938094.839 * * [misc]simplify: iters left: 5 (145 enodes) 1546938094.899 * * [misc]simplify: iters left: 4 (490 enodes) 1546938095.343 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938095.343 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938095.344 * * * * [misc]progress: [ 1276 / 5901 ] simplifiying candidate # 1546938095.344 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938095.344 * * [misc]simplify: iters left: 6 (53 enodes) 1546938095.354 * * [misc]simplify: iters left: 5 (145 enodes) 1546938095.384 * * [misc]simplify: iters left: 4 (488 enodes) 1546938095.757 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938095.758 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938095.758 * * * * [misc]progress: [ 1277 / 5901 ] simplifiying candidate # 1546938095.758 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938095.758 * * [misc]simplify: iters left: 6 (47 enodes) 1546938095.767 * * [misc]simplify: iters left: 5 (125 enodes) 1546938095.809 * * [misc]simplify: iters left: 4 (407 enodes) 1546938096.125 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938096.125 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938096.125 * * * * [misc]progress: [ 1278 / 5901 ] simplifiying candidate # 1546938096.125 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938096.125 * * [misc]simplify: iters left: 6 (52 enodes) 1546938096.135 * * [misc]simplify: iters left: 5 (139 enodes) 1546938096.184 * * [misc]simplify: iters left: 4 (431 enodes) 1546938096.485 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938096.486 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938096.486 * * * * [misc]progress: [ 1279 / 5901 ] simplifiying candidate # 1546938096.486 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938096.486 * * [misc]simplify: iters left: 6 (47 enodes) 1546938096.495 * * [misc]simplify: iters left: 5 (125 enodes) 1546938096.525 * * [misc]simplify: iters left: 4 (398 enodes) 1546938096.807 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938096.807 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938096.808 * * * * [misc]progress: [ 1280 / 5901 ] simplifiying candidate # 1546938096.808 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938096.808 * * [misc]simplify: iters left: 6 (52 enodes) 1546938096.818 * * [misc]simplify: iters left: 5 (139 enodes) 1546938096.852 * * [misc]simplify: iters left: 4 (431 enodes) 1546938097.131 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938097.131 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938097.132 * * * * [misc]progress: [ 1281 / 5901 ] simplifiying candidate # 1546938097.132 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938097.132 * * [misc]simplify: iters left: 6 (47 enodes) 1546938097.142 * * [misc]simplify: iters left: 5 (125 enodes) 1546938097.190 * * [misc]simplify: iters left: 4 (398 enodes) 1546938097.491 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938097.491 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938097.491 * * * * [misc]progress: [ 1282 / 5901 ] simplifiying candidate # 1546938097.492 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938097.492 * * [misc]simplify: iters left: 6 (52 enodes) 1546938097.501 * * [misc]simplify: iters left: 5 (138 enodes) 1546938097.550 * * [misc]simplify: iters left: 4 (462 enodes) 1546938097.933 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) 1546938097.933 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938097.933 * * * * [misc]progress: [ 1283 / 5901 ] simplifiying candidate # 1546938097.933 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938097.934 * * [misc]simplify: iters left: 6 (53 enodes) 1546938097.943 * * [misc]simplify: iters left: 5 (145 enodes) 1546938097.986 * * [misc]simplify: iters left: 4 (493 enodes) 1546938098.401 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938098.401 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938098.402 * * * * [misc]progress: [ 1284 / 5901 ] simplifiying candidate # 1546938098.402 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938098.403 * * [misc]simplify: iters left: 6 (53 enodes) 1546938098.419 * * [misc]simplify: iters left: 5 (145 enodes) 1546938098.451 * * [misc]simplify: iters left: 4 (491 enodes) 1546938098.848 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938098.848 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938098.848 * * * * [misc]progress: [ 1285 / 5901 ] simplifiying candidate # 1546938098.848 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938098.849 * * [misc]simplify: iters left: 6 (47 enodes) 1546938098.857 * * [misc]simplify: iters left: 5 (125 enodes) 1546938098.895 * * [misc]simplify: iters left: 4 (410 enodes) 1546938099.188 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938099.188 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938099.188 * * * * [misc]progress: [ 1286 / 5901 ] simplifiying candidate # 1546938099.188 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938099.189 * * [misc]simplify: iters left: 6 (52 enodes) 1546938099.204 * * [misc]simplify: iters left: 5 (139 enodes) 1546938099.261 * * [misc]simplify: iters left: 4 (434 enodes) 1546938099.581 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938099.581 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938099.581 * * * * [misc]progress: [ 1287 / 5901 ] simplifiying candidate # 1546938099.581 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938099.582 * * [misc]simplify: iters left: 6 (47 enodes) 1546938099.590 * * [misc]simplify: iters left: 5 (125 enodes) 1546938099.630 * * [misc]simplify: iters left: 4 (401 enodes) 1546938099.921 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938099.921 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938099.921 * * * * [misc]progress: [ 1288 / 5901 ] simplifiying candidate # 1546938099.921 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938099.921 * * [misc]simplify: iters left: 6 (52 enodes) 1546938099.931 * * [misc]simplify: iters left: 5 (139 enodes) 1546938099.958 * * [misc]simplify: iters left: 4 (434 enodes) 1546938100.261 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938100.261 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2)))) (- phi1 phi2))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938100.261 * * * * [misc]progress: [ 1289 / 5901 ] simplifiying candidate # 1546938100.262 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938100.262 * * [misc]simplify: iters left: 6 (47 enodes) 1546938100.284 * * [misc]simplify: iters left: 5 (125 enodes) 1546938100.314 * * [misc]simplify: iters left: 4 (401 enodes) 1546938100.565 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938100.566 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938100.566 * * * * [misc]progress: [ 1290 / 5901 ] simplifiying candidate # 1546938100.566 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938100.567 * * [misc]simplify: iters left: 6 (52 enodes) 1546938100.585 * * [misc]simplify: iters left: 5 (136 enodes) 1546938100.639 * * [misc]simplify: iters left: 4 (488 enodes) 1546938101.132 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))))))) 1546938101.132 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938101.133 * * * * [misc]progress: [ 1291 / 5901 ] simplifiying candidate # 1546938101.133 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938101.134 * * [misc]simplify: iters left: 6 (53 enodes) 1546938101.152 * * [misc]simplify: iters left: 5 (143 enodes) 1546938101.225 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938101.225 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938101.225 * * * * [misc]progress: [ 1292 / 5901 ] simplifiying candidate # 1546938101.225 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938101.225 * * [misc]simplify: iters left: 6 (53 enodes) 1546938101.235 * * [misc]simplify: iters left: 5 (143 enodes) 1546938101.281 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938101.281 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- lambda1 lambda2) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938101.281 * * * * [misc]progress: [ 1293 / 5901 ] simplifiying candidate # 1546938101.281 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938101.282 * * [misc]simplify: iters left: 6 (47 enodes) 1546938101.299 * * [misc]simplify: iters left: 5 (123 enodes) 1546938101.334 * * [misc]simplify: iters left: 4 (436 enodes) 1546938101.642 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938101.643 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938101.643 * * * * [misc]progress: [ 1294 / 5901 ] simplifiying candidate # 1546938101.643 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938101.644 * * [misc]simplify: iters left: 6 (52 enodes) 1546938101.663 * * [misc]simplify: iters left: 5 (137 enodes) 1546938101.721 * * [misc]simplify: iters left: 4 (460 enodes) 1546938102.074 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938102.074 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938102.074 * * * * [misc]progress: [ 1295 / 5901 ] simplifiying candidate # 1546938102.074 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938102.075 * * [misc]simplify: iters left: 6 (47 enodes) 1546938102.092 * * [misc]simplify: iters left: 5 (123 enodes) 1546938102.140 * * [misc]simplify: iters left: 4 (427 enodes) 1546938102.524 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938102.524 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938102.524 * * * * [misc]progress: [ 1296 / 5901 ] simplifiying candidate # 1546938102.525 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938102.525 * * [misc]simplify: iters left: 6 (52 enodes) 1546938102.544 * * [misc]simplify: iters left: 5 (137 enodes) 1546938102.600 * * [misc]simplify: iters left: 4 (460 enodes) 1546938102.904 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938102.904 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938102.904 * * * * [misc]progress: [ 1297 / 5901 ] simplifiying candidate # 1546938102.905 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938102.905 * * [misc]simplify: iters left: 6 (47 enodes) 1546938102.922 * * [misc]simplify: iters left: 5 (123 enodes) 1546938102.974 * * [misc]simplify: iters left: 4 (427 enodes) 1546938103.281 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938103.281 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938103.281 * * * * [misc]progress: [ 1298 / 5901 ] simplifiying candidate # 1546938103.281 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938103.282 * * [misc]simplify: iters left: 6 (52 enodes) 1546938103.294 * * [misc]simplify: iters left: 5 (135 enodes) 1546938103.320 * * [misc]simplify: iters left: 4 (447 enodes) 1546938103.741 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 1546938103.741 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938103.741 * * * * [misc]progress: [ 1299 / 5901 ] simplifiying candidate # 1546938103.741 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938103.742 * * [misc]simplify: iters left: 6 (53 enodes) 1546938103.761 * * [misc]simplify: iters left: 5 (142 enodes) 1546938103.791 * * [misc]simplify: iters left: 4 (478 enodes) 1546938104.264 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938104.264 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938104.265 * * * * [misc]progress: [ 1300 / 5901 ] simplifiying candidate # 1546938104.265 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938104.265 * * [misc]simplify: iters left: 6 (53 enodes) 1546938104.275 * * [misc]simplify: iters left: 5 (142 enodes) 1546938104.316 * * [misc]simplify: iters left: 4 (476 enodes) 1546938104.625 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938104.625 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938104.625 * * * * [misc]progress: [ 1301 / 5901 ] simplifiying candidate # 1546938104.625 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938104.626 * * [misc]simplify: iters left: 6 (47 enodes) 1546938104.650 * * [misc]simplify: iters left: 5 (121 enodes) 1546938104.676 * * [misc]simplify: iters left: 4 (397 enodes) 1546938104.975 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938104.975 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938104.975 * * * * [misc]progress: [ 1302 / 5901 ] simplifiying candidate # 1546938104.976 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938104.976 * * [misc]simplify: iters left: 6 (52 enodes) 1546938104.995 * * [misc]simplify: iters left: 5 (135 enodes) 1546938105.046 * * [misc]simplify: iters left: 4 (415 enodes) 1546938105.312 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (- phi1 phi2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938105.312 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (- phi1 phi2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938105.313 * * * * [misc]progress: [ 1303 / 5901 ] simplifiying candidate # 1546938105.313 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938105.314 * * [misc]simplify: iters left: 6 (47 enodes) 1546938105.331 * * [misc]simplify: iters left: 5 (122 enodes) 1546938105.382 * * [misc]simplify: iters left: 4 (388 enodes) 1546938105.653 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546938105.653 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938105.653 * * * * [misc]progress: [ 1304 / 5901 ] simplifiying candidate # 1546938105.654 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938105.654 * * [misc]simplify: iters left: 6 (52 enodes) 1546938105.673 * * [misc]simplify: iters left: 5 (135 enodes) 1546938105.727 * * [misc]simplify: iters left: 4 (415 enodes) 1546938106.073 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938106.074 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938106.074 * * * * [misc]progress: [ 1305 / 5901 ] simplifiying candidate # 1546938106.074 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938106.074 * * [misc]simplify: iters left: 6 (47 enodes) 1546938106.083 * * [misc]simplify: iters left: 5 (122 enodes) 1546938106.107 * * [misc]simplify: iters left: 4 (388 enodes) 1546938106.341 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546938106.341 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938106.341 * * * * [misc]progress: [ 1306 / 5901 ] simplifiying candidate # 1546938106.341 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938106.341 * * [misc]simplify: iters left: 6 (48 enodes) 1546938106.350 * * [misc]simplify: iters left: 5 (120 enodes) 1546938106.375 * * [misc]simplify: iters left: 4 (405 enodes) 1546938106.718 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938106.718 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938106.719 * * * * [misc]progress: [ 1307 / 5901 ] simplifiying candidate # 1546938106.719 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938106.720 * * [misc]simplify: iters left: 6 (49 enodes) 1546938106.738 * * [misc]simplify: iters left: 5 (127 enodes) 1546938106.764 * * [misc]simplify: iters left: 4 (436 enodes) 1546938107.084 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 1546938107.084 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938107.085 * * * * [misc]progress: [ 1308 / 5901 ] simplifiying candidate # 1546938107.085 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938107.085 * * [misc]simplify: iters left: 6 (49 enodes) 1546938107.098 * * [misc]simplify: iters left: 5 (127 enodes) 1546938107.150 * * [misc]simplify: iters left: 4 (434 enodes) 1546938107.517 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 1546938107.517 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938107.518 * * * * [misc]progress: [ 1309 / 5901 ] simplifiying candidate # 1546938107.518 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938107.519 * * [misc]simplify: iters left: 6 (43 enodes) 1546938107.535 * * [misc]simplify: iters left: 5 (106 enodes) 1546938107.555 * * [misc]simplify: iters left: 4 (351 enodes) 1546938107.774 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))) 1546938107.775 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938107.775 * * * * [misc]progress: [ 1310 / 5901 ] simplifiying candidate # 1546938107.775 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938107.776 * * [misc]simplify: iters left: 6 (48 enodes) 1546938107.791 * * [misc]simplify: iters left: 5 (120 enodes) 1546938107.818 * * [misc]simplify: iters left: 4 (369 enodes) 1546938108.044 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938108.044 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938108.044 * * * * [misc]progress: [ 1311 / 5901 ] simplifiying candidate # 1546938108.044 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938108.045 * * [misc]simplify: iters left: 6 (43 enodes) 1546938108.052 * * [misc]simplify: iters left: 5 (106 enodes) 1546938108.072 * * [misc]simplify: iters left: 4 (336 enodes) 1546938108.318 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546938108.319 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938108.319 * * * * [misc]progress: [ 1312 / 5901 ] simplifiying candidate # 1546938108.319 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938108.319 * * [misc]simplify: iters left: 6 (48 enodes) 1546938108.328 * * [misc]simplify: iters left: 5 (120 enodes) 1546938108.367 * * [misc]simplify: iters left: 4 (369 enodes) 1546938108.599 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938108.599 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938108.599 * * * * [misc]progress: [ 1313 / 5901 ] simplifiying candidate # 1546938108.599 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938108.600 * * [misc]simplify: iters left: 6 (43 enodes) 1546938108.610 * * [misc]simplify: iters left: 5 (106 enodes) 1546938108.637 * * [misc]simplify: iters left: 4 (336 enodes) 1546938108.833 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938108.833 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938108.833 * * * * [misc]progress: [ 1314 / 5901 ] simplifiying candidate # 1546938108.834 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938108.834 * * [misc]simplify: iters left: 6 (52 enodes) 1546938108.849 * * [misc]simplify: iters left: 5 (137 enodes) 1546938108.888 * * [misc]simplify: iters left: 4 (458 enodes) 1546938109.277 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938109.277 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938109.277 * * * * [misc]progress: [ 1315 / 5901 ] simplifiying candidate # 1546938109.277 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938109.277 * * [misc]simplify: iters left: 6 (53 enodes) 1546938109.295 * * [misc]simplify: iters left: 5 (144 enodes) 1546938109.332 * * [misc]simplify: iters left: 4 (489 enodes) 1546938109.773 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938109.773 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938109.773 * * * * [misc]progress: [ 1316 / 5901 ] simplifiying candidate # 1546938109.774 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938109.774 * * [misc]simplify: iters left: 6 (53 enodes) 1546938109.793 * * [misc]simplify: iters left: 5 (144 enodes) 1546938109.851 * * [misc]simplify: iters left: 4 (487 enodes) 1546938110.209 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) 1546938110.209 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938110.209 * * * * [misc]progress: [ 1317 / 5901 ] simplifiying candidate # 1546938110.210 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938110.210 * * [misc]simplify: iters left: 6 (47 enodes) 1546938110.225 * * [misc]simplify: iters left: 5 (124 enodes) 1546938110.257 * * [misc]simplify: iters left: 4 (406 enodes) 1546938110.496 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938110.496 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938110.497 * * * * [misc]progress: [ 1318 / 5901 ] simplifiying candidate # 1546938110.497 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938110.497 * * [misc]simplify: iters left: 6 (52 enodes) 1546938110.507 * * [misc]simplify: iters left: 5 (138 enodes) 1546938110.544 * * [misc]simplify: iters left: 4 (430 enodes) 1546938110.847 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546938110.847 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938110.847 * * * * [misc]progress: [ 1319 / 5901 ] simplifiying candidate # 1546938110.848 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938110.848 * * [misc]simplify: iters left: 6 (47 enodes) 1546938110.860 * * [misc]simplify: iters left: 5 (124 enodes) 1546938110.883 * * [misc]simplify: iters left: 4 (397 enodes) 1546938111.131 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938111.131 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938111.131 * * * * [misc]progress: [ 1320 / 5901 ] simplifiying candidate # 1546938111.131 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938111.132 * * [misc]simplify: iters left: 6 (52 enodes) 1546938111.143 * * [misc]simplify: iters left: 5 (138 enodes) 1546938111.194 * * [misc]simplify: iters left: 4 (430 enodes) 1546938111.485 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546938111.485 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938111.485 * * * * [misc]progress: [ 1321 / 5901 ] simplifiying candidate # 1546938111.485 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938111.486 * * [misc]simplify: iters left: 6 (47 enodes) 1546938111.503 * * [misc]simplify: iters left: 5 (124 enodes) 1546938111.552 * * [misc]simplify: iters left: 4 (397 enodes) 1546938111.803 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938111.804 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938111.804 * * * * [misc]progress: [ 1322 / 5901 ] simplifiying candidate # 1546938111.804 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938111.804 * * [misc]simplify: iters left: 6 (48 enodes) 1546938111.813 * * [misc]simplify: iters left: 5 (123 enodes) 1546938111.840 * * [misc]simplify: iters left: 4 (417 enodes) 1546938112.117 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938112.117 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938112.118 * * * * [misc]progress: [ 1323 / 5901 ] simplifiying candidate # 1546938112.118 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938112.118 * * [misc]simplify: iters left: 6 (49 enodes) 1546938112.127 * * [misc]simplify: iters left: 5 (130 enodes) 1546938112.154 * * [misc]simplify: iters left: 4 (448 enodes) 1546938112.549 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 1546938112.549 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938112.549 * * * * [misc]progress: [ 1324 / 5901 ] simplifiying candidate # 1546938112.549 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938112.550 * * [misc]simplify: iters left: 6 (49 enodes) 1546938112.574 * * [misc]simplify: iters left: 5 (130 enodes) 1546938112.612 * * [misc]simplify: iters left: 4 (446 enodes) 1546938113.038 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) 1546938113.038 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938113.039 * * * * [misc]progress: [ 1325 / 5901 ] simplifiying candidate # 1546938113.039 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938113.040 * * [misc]simplify: iters left: 6 (43 enodes) 1546938113.055 * * [misc]simplify: iters left: 5 (110 enodes) 1546938113.090 * * [misc]simplify: iters left: 4 (365 enodes) 1546938113.333 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) 1546938113.333 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938113.333 * * * * [misc]progress: [ 1326 / 5901 ] simplifiying candidate # 1546938113.333 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938113.334 * * [misc]simplify: iters left: 6 (48 enodes) 1546938113.342 * * [misc]simplify: iters left: 5 (124 enodes) 1546938113.376 * * [misc]simplify: iters left: 4 (389 enodes) 1546938113.646 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938113.647 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- phi1 phi2) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938113.647 * * * * [misc]progress: [ 1327 / 5901 ] simplifiying candidate # 1546938113.647 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938113.648 * * [misc]simplify: iters left: 6 (43 enodes) 1546938113.660 * * [misc]simplify: iters left: 5 (110 enodes) 1546938113.694 * * [misc]simplify: iters left: 4 (356 enodes) 1546938113.897 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938113.897 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938113.898 * * * * [misc]progress: [ 1328 / 5901 ] simplifiying candidate # 1546938113.898 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938113.899 * * [misc]simplify: iters left: 6 (48 enodes) 1546938113.917 * * [misc]simplify: iters left: 5 (124 enodes) 1546938113.970 * * [misc]simplify: iters left: 4 (389 enodes) 1546938114.174 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938114.174 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938114.174 * * * * [misc]progress: [ 1329 / 5901 ] simplifiying candidate # 1546938114.175 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938114.175 * * [misc]simplify: iters left: 6 (43 enodes) 1546938114.183 * * [misc]simplify: iters left: 5 (110 enodes) 1546938114.206 * * [misc]simplify: iters left: 4 (356 enodes) 1546938114.456 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938114.456 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938114.456 * * * * [misc]progress: [ 1330 / 5901 ] simplifiying candidate # 1546938114.456 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938114.457 * * [misc]simplify: iters left: 6 (51 enodes) 1546938114.466 * * [misc]simplify: iters left: 5 (131 enodes) 1546938114.514 * * [misc]simplify: iters left: 4 (454 enodes) 1546938114.913 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938114.913 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938114.913 * * * * [misc]progress: [ 1331 / 5901 ] simplifiying candidate # 1546938114.914 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938114.914 * * [misc]simplify: iters left: 6 (52 enodes) 1546938114.923 * * [misc]simplify: iters left: 5 (138 enodes) 1546938114.959 * * [misc]simplify: iters left: 4 (485 enodes) 1546938115.499 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938115.499 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938115.500 * * * * [misc]progress: [ 1332 / 5901 ] simplifiying candidate # 1546938115.500 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938115.501 * * [misc]simplify: iters left: 6 (52 enodes) 1546938115.519 * * [misc]simplify: iters left: 5 (138 enodes) 1546938115.555 * * [misc]simplify: iters left: 4 (483 enodes) 1546938115.987 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938115.987 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938115.987 * * * * [misc]progress: [ 1333 / 5901 ] simplifiying candidate # 1546938115.987 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938115.988 * * [misc]simplify: iters left: 6 (46 enodes) 1546938116.005 * * [misc]simplify: iters left: 5 (118 enodes) 1546938116.057 * * [misc]simplify: iters left: 4 (402 enodes) 1546938116.372 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938116.373 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938116.373 * * * * [misc]progress: [ 1334 / 5901 ] simplifiying candidate # 1546938116.373 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938116.374 * * [misc]simplify: iters left: 6 (51 enodes) 1546938116.388 * * [misc]simplify: iters left: 5 (132 enodes) 1546938116.415 * * [misc]simplify: iters left: 4 (426 enodes) 1546938116.732 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938116.732 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938116.732 * * * * [misc]progress: [ 1335 / 5901 ] simplifiying candidate # 1546938116.733 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938116.733 * * [misc]simplify: iters left: 6 (46 enodes) 1546938116.741 * * [misc]simplify: iters left: 5 (118 enodes) 1546938116.767 * * [misc]simplify: iters left: 4 (393 enodes) 1546938117.095 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938117.095 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938117.096 * * * * [misc]progress: [ 1336 / 5901 ] simplifiying candidate # 1546938117.096 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938117.097 * * [misc]simplify: iters left: 6 (51 enodes) 1546938117.114 * * [misc]simplify: iters left: 5 (132 enodes) 1546938117.164 * * [misc]simplify: iters left: 4 (426 enodes) 1546938117.500 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (* (- phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938117.500 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (* (- phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938117.500 * * * * [misc]progress: [ 1337 / 5901 ] simplifiying candidate # 1546938117.501 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938117.501 * * [misc]simplify: iters left: 6 (46 enodes) 1546938117.518 * * [misc]simplify: iters left: 5 (118 enodes) 1546938117.569 * * [misc]simplify: iters left: 4 (393 enodes) 1546938117.813 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (* (* (+ phi1 phi2) (* (* (- phi1 phi2) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938117.813 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (* (* (+ phi1 phi2) (* (* (- phi1 phi2) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938117.814 * * * * [misc]progress: [ 1338 / 5901 ] simplifiying candidate # 1546938117.814 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938117.814 * * [misc]simplify: iters left: 6 (50 enodes) 1546938117.824 * * [misc]simplify: iters left: 5 (128 enodes) 1546938117.853 * * [misc]simplify: iters left: 4 (440 enodes) 1546938118.358 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 1546938118.358 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938118.358 * * * * [misc]progress: [ 1339 / 5901 ] simplifiying candidate # 1546938118.359 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938118.359 * * [misc]simplify: iters left: 6 (51 enodes) 1546938118.378 * * [misc]simplify: iters left: 5 (135 enodes) 1546938118.431 * * [misc]simplify: iters left: 4 (471 enodes) 1546938119.426 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))))) 1546938119.426 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938119.426 * * * * [misc]progress: [ 1340 / 5901 ] simplifiying candidate # 1546938119.426 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938119.427 * * [misc]simplify: iters left: 6 (51 enodes) 1546938119.437 * * [misc]simplify: iters left: 5 (135 enodes) 1546938119.464 * * [misc]simplify: iters left: 4 (469 enodes) 1546938119.962 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) 1546938119.962 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938119.962 * * * * [misc]progress: [ 1341 / 5901 ] simplifiying candidate # 1546938119.963 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938119.963 * * [misc]simplify: iters left: 6 (45 enodes) 1546938119.979 * * [misc]simplify: iters left: 5 (115 enodes) 1546938120.024 * * [misc]simplify: iters left: 4 (388 enodes) 1546938120.329 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) 1546938120.330 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938120.330 * * * * [misc]progress: [ 1342 / 5901 ] simplifiying candidate # 1546938120.330 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938120.331 * * [misc]simplify: iters left: 6 (50 enodes) 1546938120.340 * * [misc]simplify: iters left: 5 (129 enodes) 1546938120.369 * * [misc]simplify: iters left: 4 (419 enodes) 1546938120.675 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938120.675 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938120.675 * * * * [misc]progress: [ 1343 / 5901 ] simplifiying candidate # 1546938120.676 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938120.676 * * [misc]simplify: iters left: 6 (45 enodes) 1546938120.692 * * [misc]simplify: iters left: 5 (115 enodes) 1546938120.722 * * [misc]simplify: iters left: 4 (386 enodes) 1546938120.950 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) 1546938120.950 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938120.950 * * * * [misc]progress: [ 1344 / 5901 ] simplifiying candidate # 1546938120.950 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938120.950 * * [misc]simplify: iters left: 6 (50 enodes) 1546938120.959 * * [misc]simplify: iters left: 5 (129 enodes) 1546938120.987 * * [misc]simplify: iters left: 4 (419 enodes) 1546938121.264 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938121.264 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938121.264 * * * * [misc]progress: [ 1345 / 5901 ] simplifiying candidate # 1546938121.265 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938121.265 * * [misc]simplify: iters left: 6 (45 enodes) 1546938121.281 * * [misc]simplify: iters left: 5 (115 enodes) 1546938121.323 * * [misc]simplify: iters left: 4 (386 enodes) 1546938121.587 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) 1546938121.587 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938121.588 * * * * [misc]progress: [ 1346 / 5901 ] simplifiying candidate # 1546938121.588 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938121.588 * * [misc]simplify: iters left: 6 (51 enodes) 1546938121.597 * * [misc]simplify: iters left: 5 (131 enodes) 1546938121.623 * * [misc]simplify: iters left: 4 (454 enodes) 1546938121.941 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))))) 1546938121.941 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938121.941 * * * * [misc]progress: [ 1347 / 5901 ] simplifiying candidate # 1546938121.942 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938121.942 * * [misc]simplify: iters left: 6 (52 enodes) 1546938121.961 * * [misc]simplify: iters left: 5 (138 enodes) 1546938122.020 * * [misc]simplify: iters left: 4 (485 enodes) 1546938122.439 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) 1546938122.439 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938122.439 * * * * [misc]progress: [ 1348 / 5901 ] simplifiying candidate # 1546938122.439 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938122.440 * * [misc]simplify: iters left: 6 (52 enodes) 1546938122.456 * * [misc]simplify: iters left: 5 (138 enodes) 1546938122.514 * * [misc]simplify: iters left: 4 (483 enodes) 1546938122.915 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938122.915 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938122.915 * * * * [misc]progress: [ 1349 / 5901 ] simplifiying candidate # 1546938122.915 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938122.916 * * [misc]simplify: iters left: 6 (46 enodes) 1546938122.925 * * [misc]simplify: iters left: 5 (118 enodes) 1546938122.956 * * [misc]simplify: iters left: 4 (402 enodes) 1546938123.257 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938123.257 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938123.257 * * * * [misc]progress: [ 1350 / 5901 ] simplifiying candidate # 1546938123.257 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938123.257 * * [misc]simplify: iters left: 6 (51 enodes) 1546938123.267 * * [misc]simplify: iters left: 5 (132 enodes) 1546938123.303 * * [misc]simplify: iters left: 4 (426 enodes) 1546938123.623 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938123.623 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2)) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938123.624 * * * * [misc]progress: [ 1351 / 5901 ] simplifiying candidate # 1546938123.624 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938123.625 * * [misc]simplify: iters left: 6 (46 enodes) 1546938123.640 * * [misc]simplify: iters left: 5 (118 enodes) 1546938123.685 * * [misc]simplify: iters left: 4 (393 enodes) 1546938123.910 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938123.910 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938123.911 * * * * [misc]progress: [ 1352 / 5901 ] simplifiying candidate # 1546938123.911 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938123.911 * * [misc]simplify: iters left: 6 (51 enodes) 1546938123.921 * * [misc]simplify: iters left: 5 (132 enodes) 1546938123.960 * * [misc]simplify: iters left: 4 (426 enodes) 1546938124.198 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938124.199 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938124.199 * * * * [misc]progress: [ 1353 / 5901 ] simplifiying candidate # 1546938124.199 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938124.199 * * [misc]simplify: iters left: 6 (46 enodes) 1546938124.211 * * [misc]simplify: iters left: 5 (118 enodes) 1546938124.234 * * [misc]simplify: iters left: 4 (393 enodes) 1546938124.513 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (* (* (+ phi1 phi2) (* (* (- phi1 phi2) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938124.513 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (* (* (+ phi1 phi2) (* (* (- phi1 phi2) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938124.513 * * * * [misc]progress: [ 1354 / 5901 ] simplifiying candidate # 1546938124.513 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938124.514 * * [misc]simplify: iters left: 6 (52 enodes) 1546938124.533 * * [misc]simplify: iters left: 5 (137 enodes) 1546938124.585 * * [misc]simplify: iters left: 4 (492 enodes) 1546938124.928 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) 1546938124.928 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938124.929 * * * * [misc]progress: [ 1355 / 5901 ] simplifiying candidate # 1546938124.929 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938124.929 * * [misc]simplify: iters left: 6 (53 enodes) 1546938124.942 * * [misc]simplify: iters left: 5 (144 enodes) 1546938124.986 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938124.986 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938124.987 * * * * [misc]progress: [ 1356 / 5901 ] simplifiying candidate # 1546938124.987 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938124.987 * * [misc]simplify: iters left: 6 (53 enodes) 1546938125.000 * * [misc]simplify: iters left: 5 (144 enodes) 1546938125.060 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938125.060 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938125.061 * * * * [misc]progress: [ 1357 / 5901 ] simplifiying candidate # 1546938125.061 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938125.062 * * [misc]simplify: iters left: 6 (47 enodes) 1546938125.079 * * [misc]simplify: iters left: 5 (124 enodes) 1546938125.125 * * [misc]simplify: iters left: 4 (440 enodes) 1546938125.454 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938125.454 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938125.454 * * * * [misc]progress: [ 1358 / 5901 ] simplifiying candidate # 1546938125.455 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938125.455 * * [misc]simplify: iters left: 6 (52 enodes) 1546938125.473 * * [misc]simplify: iters left: 5 (138 enodes) 1546938125.501 * * [misc]simplify: iters left: 4 (464 enodes) 1546938125.842 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938125.842 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938125.842 * * * * [misc]progress: [ 1359 / 5901 ] simplifiying candidate # 1546938125.843 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938125.843 * * [misc]simplify: iters left: 6 (47 enodes) 1546938125.851 * * [misc]simplify: iters left: 5 (124 enodes) 1546938125.885 * * [misc]simplify: iters left: 4 (431 enodes) 1546938126.129 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938126.129 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938126.130 * * * * [misc]progress: [ 1360 / 5901 ] simplifiying candidate # 1546938126.130 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938126.130 * * [misc]simplify: iters left: 6 (52 enodes) 1546938126.140 * * [misc]simplify: iters left: 5 (138 enodes) 1546938126.177 * * [misc]simplify: iters left: 4 (464 enodes) 1546938126.439 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938126.439 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938126.439 * * * * [misc]progress: [ 1361 / 5901 ] simplifiying candidate # 1546938126.440 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938126.440 * * [misc]simplify: iters left: 6 (47 enodes) 1546938126.457 * * [misc]simplify: iters left: 5 (124 enodes) 1546938126.493 * * [misc]simplify: iters left: 4 (431 enodes) 1546938126.730 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938126.730 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938126.730 * * * * [misc]progress: [ 1362 / 5901 ] simplifiying candidate # 1546938126.731 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938126.731 * * [misc]simplify: iters left: 6 (52 enodes) 1546938126.749 * * [misc]simplify: iters left: 5 (135 enodes) 1546938126.777 * * [misc]simplify: iters left: 4 (449 enodes) 1546938127.077 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))))) 1546938127.078 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938127.078 * * * * [misc]progress: [ 1363 / 5901 ] simplifiying candidate # 1546938127.078 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938127.078 * * [misc]simplify: iters left: 6 (53 enodes) 1546938127.088 * * [misc]simplify: iters left: 5 (142 enodes) 1546938127.123 * * [misc]simplify: iters left: 4 (482 enodes) 1546938127.510 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938127.510 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938127.510 * * * * [misc]progress: [ 1364 / 5901 ] simplifiying candidate # 1546938127.511 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938127.511 * * [misc]simplify: iters left: 6 (53 enodes) 1546938127.530 * * [misc]simplify: iters left: 5 (142 enodes) 1546938127.585 * * [misc]simplify: iters left: 4 (480 enodes) 1546938127.954 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938127.954 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938127.954 * * * * [misc]progress: [ 1365 / 5901 ] simplifiying candidate # 1546938127.954 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938127.955 * * [misc]simplify: iters left: 6 (47 enodes) 1546938127.967 * * [misc]simplify: iters left: 5 (121 enodes) 1546938127.992 * * [misc]simplify: iters left: 4 (399 enodes) 1546938128.240 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938128.240 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938128.240 * * * * [misc]progress: [ 1366 / 5901 ] simplifiying candidate # 1546938128.240 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938128.241 * * [misc]simplify: iters left: 6 (52 enodes) 1546938128.250 * * [misc]simplify: iters left: 5 (135 enodes) 1546938128.275 * * [misc]simplify: iters left: 4 (417 enodes) 1546938128.507 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938128.507 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938128.507 * * * * [misc]progress: [ 1367 / 5901 ] simplifiying candidate # 1546938128.508 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938128.508 * * [misc]simplify: iters left: 6 (47 enodes) 1546938128.520 * * [misc]simplify: iters left: 5 (122 enodes) 1546938128.542 * * [misc]simplify: iters left: 4 (390 enodes) 1546938128.726 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938128.726 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938128.726 * * * * [misc]progress: [ 1368 / 5901 ] simplifiying candidate # 1546938128.726 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938128.726 * * [misc]simplify: iters left: 6 (52 enodes) 1546938128.735 * * [misc]simplify: iters left: 5 (135 enodes) 1546938128.760 * * [misc]simplify: iters left: 4 (417 enodes) 1546938128.954 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938128.954 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (- phi1 phi2)) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938128.954 * * * * [misc]progress: [ 1369 / 5901 ] simplifiying candidate # 1546938128.955 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938128.955 * * [misc]simplify: iters left: 6 (47 enodes) 1546938128.964 * * [misc]simplify: iters left: 5 (122 enodes) 1546938128.989 * * [misc]simplify: iters left: 4 (390 enodes) 1546938129.171 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938129.171 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938129.171 * * * * [misc]progress: [ 1370 / 5901 ] simplifiying candidate # 1546938129.171 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938129.172 * * [misc]simplify: iters left: 6 (48 enodes) 1546938129.180 * * [misc]simplify: iters left: 5 (121 enodes) 1546938129.203 * * [misc]simplify: iters left: 4 (409 enodes) 1546938129.428 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938129.428 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938129.428 * * * * [misc]progress: [ 1371 / 5901 ] simplifiying candidate # 1546938129.428 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938129.429 * * [misc]simplify: iters left: 6 (49 enodes) 1546938129.438 * * [misc]simplify: iters left: 5 (128 enodes) 1546938129.465 * * [misc]simplify: iters left: 4 (440 enodes) 1546938129.709 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) 1546938129.709 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938129.710 * * * * [misc]progress: [ 1372 / 5901 ] simplifiying candidate # 1546938129.710 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938129.710 * * [misc]simplify: iters left: 6 (49 enodes) 1546938129.723 * * [misc]simplify: iters left: 5 (128 enodes) 1546938129.747 * * [misc]simplify: iters left: 4 (438 enodes) 1546938130.006 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 1546938130.006 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938130.007 * * * * [misc]progress: [ 1373 / 5901 ] simplifiying candidate # 1546938130.007 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938130.011 * * [misc]simplify: iters left: 6 (43 enodes) 1546938130.019 * * [misc]simplify: iters left: 5 (107 enodes) 1546938130.040 * * [misc]simplify: iters left: 4 (355 enodes) 1546938130.202 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938130.202 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938130.203 * * * * [misc]progress: [ 1374 / 5901 ] simplifiying candidate # 1546938130.203 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938130.203 * * [misc]simplify: iters left: 6 (48 enodes) 1546938130.212 * * [misc]simplify: iters left: 5 (121 enodes) 1546938130.237 * * [misc]simplify: iters left: 4 (373 enodes) 1546938130.398 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938130.398 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938130.399 * * * * [misc]progress: [ 1375 / 5901 ] simplifiying candidate # 1546938130.399 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938130.399 * * [misc]simplify: iters left: 6 (43 enodes) 1546938130.407 * * [misc]simplify: iters left: 5 (107 enodes) 1546938130.430 * * [misc]simplify: iters left: 4 (340 enodes) 1546938130.577 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938130.577 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938130.577 * * * * [misc]progress: [ 1376 / 5901 ] simplifiying candidate # 1546938130.577 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938130.577 * * [misc]simplify: iters left: 6 (48 enodes) 1546938130.586 * * [misc]simplify: iters left: 5 (121 enodes) 1546938130.609 * * [misc]simplify: iters left: 4 (373 enodes) 1546938130.775 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938130.775 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938130.775 * * * * [misc]progress: [ 1377 / 5901 ] simplifiying candidate # 1546938130.776 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938130.776 * * [misc]simplify: iters left: 6 (43 enodes) 1546938130.784 * * [misc]simplify: iters left: 5 (107 enodes) 1546938130.807 * * [misc]simplify: iters left: 4 (340 enodes) 1546938130.955 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938130.955 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938130.955 * * * * [misc]progress: [ 1378 / 5901 ] simplifiying candidate # 1546938130.955 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938130.956 * * [misc]simplify: iters left: 6 (52 enodes) 1546938130.965 * * [misc]simplify: iters left: 5 (137 enodes) 1546938130.992 * * [misc]simplify: iters left: 4 (461 enodes) 1546938131.260 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) 1546938131.260 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938131.261 * * * * [misc]progress: [ 1379 / 5901 ] simplifiying candidate # 1546938131.261 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938131.261 * * [misc]simplify: iters left: 6 (53 enodes) 1546938131.271 * * [misc]simplify: iters left: 5 (144 enodes) 1546938131.300 * * [misc]simplify: iters left: 4 (492 enodes) 1546938131.620 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938131.620 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938131.621 * * * * [misc]progress: [ 1380 / 5901 ] simplifiying candidate # 1546938131.621 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938131.621 * * [misc]simplify: iters left: 6 (53 enodes) 1546938131.631 * * [misc]simplify: iters left: 5 (144 enodes) 1546938131.659 * * [misc]simplify: iters left: 4 (490 enodes) 1546938131.938 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938131.938 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938131.938 * * * * [misc]progress: [ 1381 / 5901 ] simplifiying candidate # 1546938131.939 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938131.939 * * [misc]simplify: iters left: 6 (47 enodes) 1546938131.950 * * [misc]simplify: iters left: 5 (124 enodes) 1546938131.974 * * [misc]simplify: iters left: 4 (409 enodes) 1546938132.167 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938132.167 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938132.167 * * * * [misc]progress: [ 1382 / 5901 ] simplifiying candidate # 1546938132.167 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938132.168 * * [misc]simplify: iters left: 6 (52 enodes) 1546938132.177 * * [misc]simplify: iters left: 5 (138 enodes) 1546938132.204 * * [misc]simplify: iters left: 4 (433 enodes) 1546938132.400 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938132.400 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938132.400 * * * * [misc]progress: [ 1383 / 5901 ] simplifiying candidate # 1546938132.400 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938132.401 * * [misc]simplify: iters left: 6 (47 enodes) 1546938132.409 * * [misc]simplify: iters left: 5 (124 enodes) 1546938132.437 * * [misc]simplify: iters left: 4 (400 enodes) 1546938132.615 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938132.615 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938132.616 * * * * [misc]progress: [ 1384 / 5901 ] simplifiying candidate # 1546938132.616 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938132.616 * * [misc]simplify: iters left: 6 (52 enodes) 1546938132.628 * * [misc]simplify: iters left: 5 (138 enodes) 1546938132.655 * * [misc]simplify: iters left: 4 (433 enodes) 1546938132.852 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938132.852 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938132.852 * * * * [misc]progress: [ 1385 / 5901 ] simplifiying candidate # 1546938132.853 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938132.853 * * [misc]simplify: iters left: 6 (47 enodes) 1546938132.862 * * [misc]simplify: iters left: 5 (124 enodes) 1546938132.886 * * [misc]simplify: iters left: 4 (400 enodes) 1546938133.115 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938133.116 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938133.116 * * * * [misc]progress: [ 1386 / 5901 ] simplifiying candidate # 1546938133.116 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938133.116 * * [misc]simplify: iters left: 6 (51 enodes) 1546938133.125 * * [misc]simplify: iters left: 5 (131 enodes) 1546938133.154 * * [misc]simplify: iters left: 4 (454 enodes) 1546938133.425 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938133.425 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938133.425 * * * * [misc]progress: [ 1387 / 5901 ] simplifiying candidate # 1546938133.425 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938133.426 * * [misc]simplify: iters left: 6 (52 enodes) 1546938133.436 * * [misc]simplify: iters left: 5 (138 enodes) 1546938133.463 * * [misc]simplify: iters left: 4 (485 enodes) 1546938133.758 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938133.758 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938133.759 * * * * [misc]progress: [ 1388 / 5901 ] simplifiying candidate # 1546938133.759 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938133.759 * * [misc]simplify: iters left: 6 (52 enodes) 1546938133.769 * * [misc]simplify: iters left: 5 (138 enodes) 1546938133.796 * * [misc]simplify: iters left: 4 (483 enodes) 1546938134.078 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938134.078 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938134.078 * * * * [misc]progress: [ 1389 / 5901 ] simplifiying candidate # 1546938134.078 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938134.078 * * [misc]simplify: iters left: 6 (46 enodes) 1546938134.086 * * [misc]simplify: iters left: 5 (118 enodes) 1546938134.112 * * [misc]simplify: iters left: 4 (402 enodes) 1546938134.316 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938134.316 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938134.317 * * * * [misc]progress: [ 1390 / 5901 ] simplifiying candidate # 1546938134.318 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938134.319 * * [misc]simplify: iters left: 6 (51 enodes) 1546938134.336 * * [misc]simplify: iters left: 5 (132 enodes) 1546938134.370 * * [misc]simplify: iters left: 4 (426 enodes) 1546938134.590 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938134.590 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938134.591 * * * * [misc]progress: [ 1391 / 5901 ] simplifiying candidate # 1546938134.591 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938134.591 * * [misc]simplify: iters left: 6 (46 enodes) 1546938134.599 * * [misc]simplify: iters left: 5 (118 enodes) 1546938134.625 * * [misc]simplify: iters left: 4 (393 enodes) 1546938134.818 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938134.819 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938134.819 * * * * [misc]progress: [ 1392 / 5901 ] simplifiying candidate # 1546938134.819 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938134.819 * * [misc]simplify: iters left: 6 (51 enodes) 1546938134.828 * * [misc]simplify: iters left: 5 (132 enodes) 1546938134.853 * * [misc]simplify: iters left: 4 (426 enodes) 1546938135.056 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938135.056 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938135.056 * * * * [misc]progress: [ 1393 / 5901 ] simplifiying candidate # 1546938135.057 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938135.057 * * [misc]simplify: iters left: 6 (46 enodes) 1546938135.065 * * [misc]simplify: iters left: 5 (118 enodes) 1546938135.090 * * [misc]simplify: iters left: 4 (393 enodes) 1546938135.278 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938135.278 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938135.278 * * * * [misc]progress: [ 1394 / 5901 ] simplifiying candidate # 1546938135.278 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938135.279 * * [misc]simplify: iters left: 6 (48 enodes) 1546938135.287 * * [misc]simplify: iters left: 5 (124 enodes) 1546938135.311 * * [misc]simplify: iters left: 4 (421 enodes) 1546938135.552 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938135.552 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938135.552 * * * * [misc]progress: [ 1395 / 5901 ] simplifiying candidate # 1546938135.552 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938135.552 * * [misc]simplify: iters left: 6 (49 enodes) 1546938135.561 * * [misc]simplify: iters left: 5 (131 enodes) 1546938135.587 * * [misc]simplify: iters left: 4 (452 enodes) 1546938135.847 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938135.847 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938135.848 * * * * [misc]progress: [ 1396 / 5901 ] simplifiying candidate # 1546938135.848 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938135.848 * * [misc]simplify: iters left: 6 (49 enodes) 1546938135.857 * * [misc]simplify: iters left: 5 (131 enodes) 1546938135.884 * * [misc]simplify: iters left: 4 (450 enodes) 1546938136.168 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))))) 1546938136.169 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938136.169 * * * * [misc]progress: [ 1397 / 5901 ] simplifiying candidate # 1546938136.169 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938136.169 * * [misc]simplify: iters left: 6 (43 enodes) 1546938136.177 * * [misc]simplify: iters left: 5 (111 enodes) 1546938136.201 * * [misc]simplify: iters left: 4 (369 enodes) 1546938136.369 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) 1546938136.369 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938136.369 * * * * [misc]progress: [ 1398 / 5901 ] simplifiying candidate # 1546938136.369 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938136.370 * * [misc]simplify: iters left: 6 (48 enodes) 1546938136.379 * * [misc]simplify: iters left: 5 (125 enodes) 1546938136.406 * * [misc]simplify: iters left: 4 (393 enodes) 1546938136.580 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938136.580 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938136.581 * * * * [misc]progress: [ 1399 / 5901 ] simplifiying candidate # 1546938136.581 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938136.581 * * [misc]simplify: iters left: 6 (43 enodes) 1546938136.592 * * [misc]simplify: iters left: 5 (111 enodes) 1546938136.613 * * [misc]simplify: iters left: 4 (360 enodes) 1546938136.771 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))))) 1546938136.772 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938136.772 * * * * [misc]progress: [ 1400 / 5901 ] simplifiying candidate # 1546938136.772 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938136.772 * * [misc]simplify: iters left: 6 (48 enodes) 1546938136.781 * * [misc]simplify: iters left: 5 (125 enodes) 1546938136.809 * * [misc]simplify: iters left: 4 (393 enodes) 1546938136.979 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938136.979 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938136.979 * * * * [misc]progress: [ 1401 / 5901 ] simplifiying candidate # 1546938136.979 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938136.979 * * [misc]simplify: iters left: 6 (43 enodes) 1546938136.990 * * [misc]simplify: iters left: 5 (111 enodes) 1546938137.011 * * [misc]simplify: iters left: 4 (360 enodes) 1546938137.169 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))))) 1546938137.169 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938137.169 * * * * [misc]progress: [ 1402 / 5901 ] simplifiying candidate # 1546938137.169 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938137.169 * * [misc]simplify: iters left: 6 (51 enodes) 1546938137.178 * * [misc]simplify: iters left: 5 (132 enodes) 1546938137.207 * * [misc]simplify: iters left: 4 (455 enodes) 1546938137.475 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938137.475 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938137.476 * * * * [misc]progress: [ 1403 / 5901 ] simplifiying candidate # 1546938137.476 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938137.476 * * [misc]simplify: iters left: 6 (52 enodes) 1546938137.486 * * [misc]simplify: iters left: 5 (139 enodes) 1546938137.513 * * [misc]simplify: iters left: 4 (486 enodes) 1546938137.806 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))))) 1546938137.806 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938137.806 * * * * [misc]progress: [ 1404 / 5901 ] simplifiying candidate # 1546938137.806 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938137.807 * * [misc]simplify: iters left: 6 (52 enodes) 1546938137.816 * * [misc]simplify: iters left: 5 (139 enodes) 1546938137.844 * * [misc]simplify: iters left: 4 (484 enodes) 1546938138.127 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) 1546938138.127 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938138.127 * * * * [misc]progress: [ 1405 / 5901 ] simplifiying candidate # 1546938138.127 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938138.128 * * [misc]simplify: iters left: 6 (46 enodes) 1546938138.136 * * [misc]simplify: iters left: 5 (119 enodes) 1546938138.162 * * [misc]simplify: iters left: 4 (403 enodes) 1546938138.361 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938138.361 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938138.361 * * * * [misc]progress: [ 1406 / 5901 ] simplifiying candidate # 1546938138.361 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938138.362 * * [misc]simplify: iters left: 6 (51 enodes) 1546938138.371 * * [misc]simplify: iters left: 5 (133 enodes) 1546938138.396 * * [misc]simplify: iters left: 4 (427 enodes) 1546938138.607 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) 1546938138.607 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938138.607 * * * * [misc]progress: [ 1407 / 5901 ] simplifiying candidate # 1546938138.607 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938138.608 * * [misc]simplify: iters left: 6 (46 enodes) 1546938138.616 * * [misc]simplify: iters left: 5 (119 enodes) 1546938138.641 * * [misc]simplify: iters left: 4 (394 enodes) 1546938139.254 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938139.254 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938139.254 * * * * [misc]progress: [ 1408 / 5901 ] simplifiying candidate # 1546938139.255 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938139.255 * * [misc]simplify: iters left: 6 (51 enodes) 1546938139.264 * * [misc]simplify: iters left: 5 (133 enodes) 1546938139.289 * * [misc]simplify: iters left: 4 (427 enodes) 1546938139.493 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) 1546938139.493 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938139.494 * * * * [misc]progress: [ 1409 / 5901 ] simplifiying candidate # 1546938139.494 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938139.494 * * [misc]simplify: iters left: 6 (46 enodes) 1546938139.502 * * [misc]simplify: iters left: 5 (119 enodes) 1546938139.528 * * [misc]simplify: iters left: 4 (394 enodes) 1546938139.716 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938139.716 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938139.716 * * * * [misc]progress: [ 1410 / 5901 ] simplifiying candidate # 1546938139.717 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938139.717 * * [misc]simplify: iters left: 6 (50 enodes) 1546938139.726 * * [misc]simplify: iters left: 5 (129 enodes) 1546938139.751 * * [misc]simplify: iters left: 4 (444 enodes) 1546938140.009 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938140.009 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938140.009 * * * * [misc]progress: [ 1411 / 5901 ] simplifiying candidate # 1546938140.010 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938140.010 * * [misc]simplify: iters left: 6 (51 enodes) 1546938140.019 * * [misc]simplify: iters left: 5 (136 enodes) 1546938140.046 * * [misc]simplify: iters left: 4 (475 enodes) 1546938140.339 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938140.339 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938140.339 * * * * [misc]progress: [ 1412 / 5901 ] simplifiying candidate # 1546938140.339 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938140.339 * * [misc]simplify: iters left: 6 (51 enodes) 1546938140.348 * * [misc]simplify: iters left: 5 (136 enodes) 1546938140.375 * * [misc]simplify: iters left: 4 (473 enodes) 1546938140.658 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938140.658 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938140.658 * * * * [misc]progress: [ 1413 / 5901 ] simplifiying candidate # 1546938140.659 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938140.659 * * [misc]simplify: iters left: 6 (45 enodes) 1546938140.667 * * [misc]simplify: iters left: 5 (116 enodes) 1546938140.689 * * [misc]simplify: iters left: 4 (392 enodes) 1546938140.894 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) 1546938140.894 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938140.894 * * * * [misc]progress: [ 1414 / 5901 ] simplifiying candidate # 1546938140.894 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938140.895 * * [misc]simplify: iters left: 6 (50 enodes) 1546938140.904 * * [misc]simplify: iters left: 5 (130 enodes) 1546938140.928 * * [misc]simplify: iters left: 4 (423 enodes) 1546938141.132 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))))) 1546938141.133 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938141.133 * * * * [misc]progress: [ 1415 / 5901 ] simplifiying candidate # 1546938141.133 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938141.133 * * [misc]simplify: iters left: 6 (45 enodes) 1546938141.141 * * [misc]simplify: iters left: 5 (116 enodes) 1546938141.163 * * [misc]simplify: iters left: 4 (390 enodes) 1546938141.342 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) 1546938141.342 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938141.342 * * * * [misc]progress: [ 1416 / 5901 ] simplifiying candidate # 1546938141.342 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938141.342 * * [misc]simplify: iters left: 6 (50 enodes) 1546938141.351 * * [misc]simplify: iters left: 5 (130 enodes) 1546938141.375 * * [misc]simplify: iters left: 4 (423 enodes) 1546938141.579 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))))) 1546938141.579 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938141.580 * * * * [misc]progress: [ 1417 / 5901 ] simplifiying candidate # 1546938141.580 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938141.580 * * [misc]simplify: iters left: 6 (45 enodes) 1546938141.588 * * [misc]simplify: iters left: 5 (116 enodes) 1546938141.613 * * [misc]simplify: iters left: 4 (390 enodes) 1546938141.797 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) 1546938141.797 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938141.797 * * * * [misc]progress: [ 1418 / 5901 ] simplifiying candidate # 1546938141.798 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938141.798 * * [misc]simplify: iters left: 6 (52 enodes) 1546938141.807 * * [misc]simplify: iters left: 5 (137 enodes) 1546938141.835 * * [misc]simplify: iters left: 4 (489 enodes) 1546938142.114 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) 1546938142.114 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938142.114 * * * * [misc]progress: [ 1419 / 5901 ] simplifiying candidate # 1546938142.114 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938142.115 * * [misc]simplify: iters left: 6 (53 enodes) 1546938142.124 * * [misc]simplify: iters left: 5 (144 enodes) 1546938142.165 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546938142.165 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938142.166 * * * * [misc]progress: [ 1420 / 5901 ] simplifiying candidate # 1546938142.166 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938142.166 * * [misc]simplify: iters left: 6 (53 enodes) 1546938142.176 * * [misc]simplify: iters left: 5 (144 enodes) 1546938142.217 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938142.217 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938142.217 * * * * [misc]progress: [ 1421 / 5901 ] simplifiying candidate # 1546938142.217 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938142.218 * * [misc]simplify: iters left: 6 (47 enodes) 1546938142.226 * * [misc]simplify: iters left: 5 (124 enodes) 1546938142.265 * * [misc]simplify: iters left: 4 (437 enodes) 1546938142.486 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938142.486 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938142.487 * * * * [misc]progress: [ 1422 / 5901 ] simplifiying candidate # 1546938142.487 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938142.487 * * [misc]simplify: iters left: 6 (52 enodes) 1546938142.497 * * [misc]simplify: iters left: 5 (138 enodes) 1546938142.527 * * [misc]simplify: iters left: 4 (461 enodes) 1546938142.751 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))))) 1546938142.751 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938142.751 * * * * [misc]progress: [ 1423 / 5901 ] simplifiying candidate # 1546938142.751 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938142.752 * * [misc]simplify: iters left: 6 (47 enodes) 1546938142.760 * * [misc]simplify: iters left: 5 (124 enodes) 1546938142.785 * * [misc]simplify: iters left: 4 (428 enodes) 1546938142.981 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938142.981 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938142.981 * * * * [misc]progress: [ 1424 / 5901 ] simplifiying candidate # 1546938142.982 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938142.982 * * [misc]simplify: iters left: 6 (52 enodes) 1546938142.991 * * [misc]simplify: iters left: 5 (138 enodes) 1546938143.022 * * [misc]simplify: iters left: 4 (461 enodes) 1546938143.241 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))))) 1546938143.241 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938143.241 * * * * [misc]progress: [ 1425 / 5901 ] simplifiying candidate # 1546938143.241 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938143.242 * * [misc]simplify: iters left: 6 (47 enodes) 1546938143.250 * * [misc]simplify: iters left: 5 (124 enodes) 1546938143.274 * * [misc]simplify: iters left: 4 (428 enodes) 1546938143.475 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))))) 1546938143.475 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938143.475 * * * * [misc]progress: [ 1426 / 5901 ] simplifiying candidate # 1546938143.475 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938143.476 * * [misc]simplify: iters left: 6 (52 enodes) 1546938143.488 * * [misc]simplify: iters left: 5 (136 enodes) 1546938143.514 * * [misc]simplify: iters left: 4 (448 enodes) 1546938143.769 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (pow phi1 3) (pow phi2 3))))))) 1546938143.769 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938143.770 * * * * [misc]progress: [ 1427 / 5901 ] simplifiying candidate # 1546938143.770 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938143.770 * * [misc]simplify: iters left: 6 (53 enodes) 1546938143.780 * * [misc]simplify: iters left: 5 (143 enodes) 1546938143.811 * * [misc]simplify: iters left: 4 (481 enodes) 1546938144.092 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938144.092 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938144.092 * * * * [misc]progress: [ 1428 / 5901 ] simplifiying candidate # 1546938144.093 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938144.093 * * [misc]simplify: iters left: 6 (53 enodes) 1546938144.104 * * [misc]simplify: iters left: 5 (143 enodes) 1546938144.131 * * [misc]simplify: iters left: 4 (479 enodes) 1546938144.400 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) 1546938144.401 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938144.401 * * * * [misc]progress: [ 1429 / 5901 ] simplifiying candidate # 1546938144.401 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938144.401 * * [misc]simplify: iters left: 6 (47 enodes) 1546938144.410 * * [misc]simplify: iters left: 5 (122 enodes) 1546938144.438 * * [misc]simplify: iters left: 4 (398 enodes) 1546938144.624 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938144.624 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938144.624 * * * * [misc]progress: [ 1430 / 5901 ] simplifiying candidate # 1546938144.625 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938144.625 * * [misc]simplify: iters left: 6 (52 enodes) 1546938144.634 * * [misc]simplify: iters left: 5 (136 enodes) 1546938144.659 * * [misc]simplify: iters left: 4 (416 enodes) 1546938144.847 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546938144.848 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938144.848 * * * * [misc]progress: [ 1431 / 5901 ] simplifiying candidate # 1546938144.848 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938144.848 * * [misc]simplify: iters left: 6 (47 enodes) 1546938144.857 * * [misc]simplify: iters left: 5 (123 enodes) 1546938144.880 * * [misc]simplify: iters left: 4 (389 enodes) 1546938145.052 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938145.052 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938145.052 * * * * [misc]progress: [ 1432 / 5901 ] simplifiying candidate # 1546938145.052 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938145.053 * * [misc]simplify: iters left: 6 (52 enodes) 1546938145.063 * * [misc]simplify: iters left: 5 (136 enodes) 1546938145.094 * * [misc]simplify: iters left: 4 (416 enodes) 1546938145.278 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546938145.279 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938145.279 * * * * [misc]progress: [ 1433 / 5901 ] simplifiying candidate # 1546938145.279 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938145.279 * * [misc]simplify: iters left: 6 (47 enodes) 1546938145.291 * * [misc]simplify: iters left: 5 (123 enodes) 1546938145.316 * * [misc]simplify: iters left: 4 (389 enodes) 1546938145.521 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938145.521 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938145.522 * * * * [misc]progress: [ 1434 / 5901 ] simplifiying candidate # 1546938145.522 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938145.522 * * [misc]simplify: iters left: 6 (48 enodes) 1546938145.531 * * [misc]simplify: iters left: 5 (121 enodes) 1546938145.554 * * [misc]simplify: iters left: 4 (406 enodes) 1546938145.766 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938145.766 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938145.767 * * * * [misc]progress: [ 1435 / 5901 ] simplifiying candidate # 1546938145.767 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938145.767 * * [misc]simplify: iters left: 6 (49 enodes) 1546938145.776 * * [misc]simplify: iters left: 5 (128 enodes) 1546938145.805 * * [misc]simplify: iters left: 4 (437 enodes) 1546938146.038 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))))))) 1546938146.038 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938146.038 * * * * [misc]progress: [ 1436 / 5901 ] simplifiying candidate # 1546938146.038 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938146.039 * * [misc]simplify: iters left: 6 (49 enodes) 1546938146.047 * * [misc]simplify: iters left: 5 (128 enodes) 1546938146.076 * * [misc]simplify: iters left: 4 (435 enodes) 1546938146.306 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (+ phi1 phi2))))))) 1546938146.306 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938146.306 * * * * [misc]progress: [ 1437 / 5901 ] simplifiying candidate # 1546938146.307 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938146.307 * * [misc]simplify: iters left: 6 (43 enodes) 1546938146.314 * * [misc]simplify: iters left: 5 (107 enodes) 1546938146.338 * * [misc]simplify: iters left: 4 (352 enodes) 1546938146.493 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) 1546938146.493 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938146.493 * * * * [misc]progress: [ 1438 / 5901 ] simplifiying candidate # 1546938146.493 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938146.494 * * [misc]simplify: iters left: 6 (48 enodes) 1546938146.502 * * [misc]simplify: iters left: 5 (121 enodes) 1546938146.524 * * [misc]simplify: iters left: 4 (370 enodes) 1546938146.679 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938146.679 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938146.679 * * * * [misc]progress: [ 1439 / 5901 ] simplifiying candidate # 1546938146.679 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938146.680 * * [misc]simplify: iters left: 6 (43 enodes) 1546938146.687 * * [misc]simplify: iters left: 5 (107 enodes) 1546938146.707 * * [misc]simplify: iters left: 4 (337 enodes) 1546938146.849 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938146.849 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938146.850 * * * * [misc]progress: [ 1440 / 5901 ] simplifiying candidate # 1546938146.850 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938146.850 * * [misc]simplify: iters left: 6 (48 enodes) 1546938146.859 * * [misc]simplify: iters left: 5 (121 enodes) 1546938146.903 * * [misc]simplify: iters left: 4 (370 enodes) 1546938147.067 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938147.067 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938147.067 * * * * [misc]progress: [ 1441 / 5901 ] simplifiying candidate # 1546938147.067 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938147.067 * * [misc]simplify: iters left: 6 (43 enodes) 1546938147.075 * * [misc]simplify: iters left: 5 (107 enodes) 1546938147.095 * * [misc]simplify: iters left: 4 (337 enodes) 1546938147.240 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938147.240 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938147.240 * * * * [misc]progress: [ 1442 / 5901 ] simplifiying candidate # 1546938147.241 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938147.241 * * [misc]simplify: iters left: 6 (52 enodes) 1546938147.250 * * [misc]simplify: iters left: 5 (138 enodes) 1546938147.278 * * [misc]simplify: iters left: 4 (459 enodes) 1546938147.542 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 1546938147.543 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938147.543 * * * * [misc]progress: [ 1443 / 5901 ] simplifiying candidate # 1546938147.543 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938147.543 * * [misc]simplify: iters left: 6 (53 enodes) 1546938147.553 * * [misc]simplify: iters left: 5 (145 enodes) 1546938147.582 * * [misc]simplify: iters left: 4 (490 enodes) 1546938147.869 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938147.869 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938147.869 * * * * [misc]progress: [ 1444 / 5901 ] simplifiying candidate # 1546938147.869 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938147.869 * * [misc]simplify: iters left: 6 (53 enodes) 1546938147.879 * * [misc]simplify: iters left: 5 (145 enodes) 1546938147.908 * * [misc]simplify: iters left: 4 (488 enodes) 1546938148.185 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938148.185 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938148.185 * * * * [misc]progress: [ 1445 / 5901 ] simplifiying candidate # 1546938148.185 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938148.186 * * [misc]simplify: iters left: 6 (47 enodes) 1546938148.197 * * [misc]simplify: iters left: 5 (125 enodes) 1546938148.222 * * [misc]simplify: iters left: 4 (407 enodes) 1546938148.424 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938148.424 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938148.424 * * * * [misc]progress: [ 1446 / 5901 ] simplifiying candidate # 1546938148.425 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938148.425 * * [misc]simplify: iters left: 6 (52 enodes) 1546938148.442 * * [misc]simplify: iters left: 5 (139 enodes) 1546938148.468 * * [misc]simplify: iters left: 4 (431 enodes) 1546938148.661 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) 1546938148.661 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938148.662 * * * * [misc]progress: [ 1447 / 5901 ] simplifiying candidate # 1546938148.662 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938148.662 * * [misc]simplify: iters left: 6 (47 enodes) 1546938148.671 * * [misc]simplify: iters left: 5 (125 enodes) 1546938148.698 * * [misc]simplify: iters left: 4 (398 enodes) 1546938148.872 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938148.872 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938148.872 * * * * [misc]progress: [ 1448 / 5901 ] simplifiying candidate # 1546938148.872 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938148.873 * * [misc]simplify: iters left: 6 (52 enodes) 1546938148.882 * * [misc]simplify: iters left: 5 (139 enodes) 1546938148.912 * * [misc]simplify: iters left: 4 (431 enodes) 1546938149.110 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) 1546938149.110 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938149.110 * * * * [misc]progress: [ 1449 / 5901 ] simplifiying candidate # 1546938149.110 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938149.110 * * [misc]simplify: iters left: 6 (47 enodes) 1546938149.119 * * [misc]simplify: iters left: 5 (125 enodes) 1546938149.143 * * [misc]simplify: iters left: 4 (398 enodes) 1546938149.320 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938149.320 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938149.320 * * * * [misc]progress: [ 1450 / 5901 ] simplifiying candidate # 1546938149.320 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938149.320 * * [misc]simplify: iters left: 6 (50 enodes) 1546938149.329 * * [misc]simplify: iters left: 5 (128 enodes) 1546938149.354 * * [misc]simplify: iters left: 4 (440 enodes) 1546938149.608 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 1546938149.608 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938149.608 * * * * [misc]progress: [ 1451 / 5901 ] simplifiying candidate # 1546938149.608 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938149.608 * * [misc]simplify: iters left: 6 (51 enodes) 1546938149.618 * * [misc]simplify: iters left: 5 (135 enodes) 1546938149.645 * * [misc]simplify: iters left: 4 (471 enodes) 1546938149.935 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))))) 1546938149.935 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938149.935 * * * * [misc]progress: [ 1452 / 5901 ] simplifiying candidate # 1546938149.935 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938149.936 * * [misc]simplify: iters left: 6 (51 enodes) 1546938149.945 * * [misc]simplify: iters left: 5 (135 enodes) 1546938149.976 * * [misc]simplify: iters left: 4 (469 enodes) 1546938150.256 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) 1546938150.256 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938150.256 * * * * [misc]progress: [ 1453 / 5901 ] simplifiying candidate # 1546938150.256 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938150.256 * * [misc]simplify: iters left: 6 (45 enodes) 1546938150.264 * * [misc]simplify: iters left: 5 (115 enodes) 1546938150.287 * * [misc]simplify: iters left: 4 (388 enodes) 1546938150.469 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) 1546938150.470 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938150.470 * * * * [misc]progress: [ 1454 / 5901 ] simplifiying candidate # 1546938150.470 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938150.470 * * [misc]simplify: iters left: 6 (50 enodes) 1546938150.479 * * [misc]simplify: iters left: 5 (129 enodes) 1546938150.504 * * [misc]simplify: iters left: 4 (419 enodes) 1546938150.701 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938150.701 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938150.701 * * * * [misc]progress: [ 1455 / 5901 ] simplifiying candidate # 1546938150.702 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938150.702 * * [misc]simplify: iters left: 6 (45 enodes) 1546938150.710 * * [misc]simplify: iters left: 5 (115 enodes) 1546938150.734 * * [misc]simplify: iters left: 4 (386 enodes) 1546938150.909 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) 1546938150.909 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2)) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938150.910 * * * * [misc]progress: [ 1456 / 5901 ] simplifiying candidate # 1546938150.910 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938150.910 * * [misc]simplify: iters left: 6 (50 enodes) 1546938150.922 * * [misc]simplify: iters left: 5 (129 enodes) 1546938150.948 * * [misc]simplify: iters left: 4 (419 enodes) 1546938151.150 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938151.151 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938151.151 * * * * [misc]progress: [ 1457 / 5901 ] simplifiying candidate # 1546938151.151 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938151.151 * * [misc]simplify: iters left: 6 (45 enodes) 1546938151.159 * * [misc]simplify: iters left: 5 (115 enodes) 1546938151.182 * * [misc]simplify: iters left: 4 (386 enodes) 1546938151.369 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) 1546938151.369 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938151.370 * * * * [misc]progress: [ 1458 / 5901 ] simplifiying candidate # 1546938151.370 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938151.370 * * [misc]simplify: iters left: 6 (51 enodes) 1546938151.379 * * [misc]simplify: iters left: 5 (132 enodes) 1546938151.408 * * [misc]simplify: iters left: 4 (455 enodes) 1546938151.723 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938151.723 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938151.724 * * * * [misc]progress: [ 1459 / 5901 ] simplifiying candidate # 1546938151.724 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938151.724 * * [misc]simplify: iters left: 6 (52 enodes) 1546938151.737 * * [misc]simplify: iters left: 5 (139 enodes) 1546938151.764 * * [misc]simplify: iters left: 4 (486 enodes) 1546938152.055 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 1546938152.055 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938152.055 * * * * [misc]progress: [ 1460 / 5901 ] simplifiying candidate # 1546938152.055 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938152.056 * * [misc]simplify: iters left: 6 (52 enodes) 1546938152.065 * * [misc]simplify: iters left: 5 (139 enodes) 1546938152.094 * * [misc]simplify: iters left: 4 (484 enodes) 1546938152.379 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) 1546938152.379 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938152.379 * * * * [misc]progress: [ 1461 / 5901 ] simplifiying candidate # 1546938152.379 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938152.379 * * [misc]simplify: iters left: 6 (46 enodes) 1546938152.388 * * [misc]simplify: iters left: 5 (119 enodes) 1546938152.412 * * [misc]simplify: iters left: 4 (403 enodes) 1546938152.610 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938152.610 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))) (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938152.610 * * * * [misc]progress: [ 1462 / 5901 ] simplifiying candidate # 1546938152.610 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938152.610 * * [misc]simplify: iters left: 6 (51 enodes) 1546938152.620 * * [misc]simplify: iters left: 5 (133 enodes) 1546938152.645 * * [misc]simplify: iters left: 4 (427 enodes) 1546938152.848 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) 1546938152.848 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938152.848 * * * * [misc]progress: [ 1463 / 5901 ] simplifiying candidate # 1546938152.848 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938152.849 * * [misc]simplify: iters left: 6 (46 enodes) 1546938152.857 * * [misc]simplify: iters left: 5 (119 enodes) 1546938152.883 * * [misc]simplify: iters left: 4 (394 enodes) 1546938153.111 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938153.111 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938153.111 * * * * [misc]progress: [ 1464 / 5901 ] simplifiying candidate # 1546938153.112 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938153.112 * * [misc]simplify: iters left: 6 (51 enodes) 1546938153.125 * * [misc]simplify: iters left: 5 (133 enodes) 1546938153.150 * * [misc]simplify: iters left: 4 (427 enodes) 1546938153.355 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) 1546938153.355 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938153.355 * * * * [misc]progress: [ 1465 / 5901 ] simplifiying candidate # 1546938153.355 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938153.356 * * [misc]simplify: iters left: 6 (46 enodes) 1546938153.365 * * [misc]simplify: iters left: 5 (119 enodes) 1546938153.388 * * [misc]simplify: iters left: 4 (394 enodes) 1546938153.570 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938153.570 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938153.571 * * * * [misc]progress: [ 1466 / 5901 ] simplifiying candidate # 1546938153.571 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938153.572 * * [misc]simplify: iters left: 6 (48 enodes) 1546938153.580 * * [misc]simplify: iters left: 5 (124 enodes) 1546938153.607 * * [misc]simplify: iters left: 4 (418 enodes) 1546938153.840 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938153.840 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938153.840 * * * * [misc]progress: [ 1467 / 5901 ] simplifiying candidate # 1546938153.840 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938153.841 * * [misc]simplify: iters left: 6 (49 enodes) 1546938153.849 * * [misc]simplify: iters left: 5 (131 enodes) 1546938153.878 * * [misc]simplify: iters left: 4 (449 enodes) 1546938154.138 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 1546938154.138 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938154.138 * * * * [misc]progress: [ 1468 / 5901 ] simplifiying candidate # 1546938154.138 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938154.138 * * [misc]simplify: iters left: 6 (49 enodes) 1546938154.147 * * [misc]simplify: iters left: 5 (131 enodes) 1546938154.173 * * [misc]simplify: iters left: 4 (447 enodes) 1546938154.416 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 1546938154.416 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938154.416 * * * * [misc]progress: [ 1469 / 5901 ] simplifiying candidate # 1546938154.417 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938154.417 * * [misc]simplify: iters left: 6 (43 enodes) 1546938154.425 * * [misc]simplify: iters left: 5 (111 enodes) 1546938154.446 * * [misc]simplify: iters left: 4 (366 enodes) 1546938154.629 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) 1546938154.630 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938154.630 * * * * [misc]progress: [ 1470 / 5901 ] simplifiying candidate # 1546938154.630 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938154.630 * * [misc]simplify: iters left: 6 (48 enodes) 1546938154.639 * * [misc]simplify: iters left: 5 (125 enodes) 1546938154.663 * * [misc]simplify: iters left: 4 (390 enodes) 1546938154.831 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938154.832 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938154.832 * * * * [misc]progress: [ 1471 / 5901 ] simplifiying candidate # 1546938154.832 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938154.832 * * [misc]simplify: iters left: 6 (43 enodes) 1546938154.840 * * [misc]simplify: iters left: 5 (111 enodes) 1546938154.861 * * [misc]simplify: iters left: 4 (357 enodes) 1546938155.010 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))) 1546938155.010 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938155.011 * * * * [misc]progress: [ 1472 / 5901 ] simplifiying candidate # 1546938155.011 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938155.011 * * [misc]simplify: iters left: 6 (48 enodes) 1546938155.022 * * [misc]simplify: iters left: 5 (125 enodes) 1546938155.046 * * [misc]simplify: iters left: 4 (390 enodes) 1546938155.215 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938155.215 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))) (cbrt (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938155.215 * * * * [misc]progress: [ 1473 / 5901 ] simplifiying candidate # 1546938155.216 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938155.216 * * [misc]simplify: iters left: 6 (43 enodes) 1546938155.227 * * [misc]simplify: iters left: 5 (111 enodes) 1546938155.248 * * [misc]simplify: iters left: 4 (357 enodes) 1546938155.414 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))) 1546938155.414 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938155.414 * * * * [misc]progress: [ 1474 / 5901 ] simplifiying candidate # 1546938155.414 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938155.415 * * [misc]simplify: iters left: 6 (51 enodes) 1546938155.424 * * [misc]simplify: iters left: 5 (131 enodes) 1546938155.452 * * [misc]simplify: iters left: 4 (454 enodes) 1546938155.718 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938155.718 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938155.718 * * * * [misc]progress: [ 1475 / 5901 ] simplifiying candidate # 1546938155.719 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938155.719 * * [misc]simplify: iters left: 6 (52 enodes) 1546938155.729 * * [misc]simplify: iters left: 5 (138 enodes) 1546938155.756 * * [misc]simplify: iters left: 4 (485 enodes) 1546938156.043 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938156.043 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938156.044 * * * * [misc]progress: [ 1476 / 5901 ] simplifiying candidate # 1546938156.044 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938156.044 * * [misc]simplify: iters left: 6 (52 enodes) 1546938156.057 * * [misc]simplify: iters left: 5 (138 enodes) 1546938156.104 * * [misc]simplify: iters left: 4 (483 enodes) 1546938156.397 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938156.397 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938156.398 * * * * [misc]progress: [ 1477 / 5901 ] simplifiying candidate # 1546938156.398 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938156.398 * * [misc]simplify: iters left: 6 (46 enodes) 1546938156.406 * * [misc]simplify: iters left: 5 (118 enodes) 1546938156.430 * * [misc]simplify: iters left: 4 (402 enodes) 1546938156.621 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938156.622 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938156.622 * * * * [misc]progress: [ 1478 / 5901 ] simplifiying candidate # 1546938156.622 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938156.626 * * [misc]simplify: iters left: 6 (51 enodes) 1546938156.634 * * [misc]simplify: iters left: 5 (132 enodes) 1546938156.659 * * [misc]simplify: iters left: 4 (426 enodes) 1546938157.282 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938157.282 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (- phi1 phi2) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938157.282 * * * * [misc]progress: [ 1479 / 5901 ] simplifiying candidate # 1546938157.282 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938157.282 * * [misc]simplify: iters left: 6 (46 enodes) 1546938157.291 * * [misc]simplify: iters left: 5 (118 enodes) 1546938157.313 * * [misc]simplify: iters left: 4 (393 enodes) 1546938157.492 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938157.492 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (+ lambda1 lambda2))) (- phi1 phi2)) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938157.492 * * * * [misc]progress: [ 1480 / 5901 ] simplifiying candidate # 1546938157.492 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938157.493 * * [misc]simplify: iters left: 6 (51 enodes) 1546938157.501 * * [misc]simplify: iters left: 5 (132 enodes) 1546938157.529 * * [misc]simplify: iters left: 4 (426 enodes) 1546938157.733 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938157.733 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938157.733 * * * * [misc]progress: [ 1481 / 5901 ] simplifiying candidate # 1546938157.733 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938157.734 * * [misc]simplify: iters left: 6 (46 enodes) 1546938157.742 * * [misc]simplify: iters left: 5 (118 enodes) 1546938157.764 * * [misc]simplify: iters left: 4 (393 enodes) 1546938157.945 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938157.945 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938157.945 * * * * [misc]progress: [ 1482 / 5901 ] simplifiying candidate # 1546938157.945 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938157.946 * * [misc]simplify: iters left: 6 (52 enodes) 1546938157.956 * * [misc]simplify: iters left: 5 (137 enodes) 1546938157.986 * * [misc]simplify: iters left: 4 (492 enodes) 1546938158.269 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) 1546938158.269 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938158.270 * * * * [misc]progress: [ 1483 / 5901 ] simplifiying candidate # 1546938158.270 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938158.270 * * [misc]simplify: iters left: 6 (53 enodes) 1546938158.281 * * [misc]simplify: iters left: 5 (144 enodes) 1546938158.320 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938158.320 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938158.320 * * * * [misc]progress: [ 1484 / 5901 ] simplifiying candidate # 1546938158.320 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938158.321 * * [misc]simplify: iters left: 6 (53 enodes) 1546938158.331 * * [misc]simplify: iters left: 5 (144 enodes) 1546938158.371 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938158.371 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938158.371 * * * * [misc]progress: [ 1485 / 5901 ] simplifiying candidate # 1546938158.372 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938158.372 * * [misc]simplify: iters left: 6 (47 enodes) 1546938158.380 * * [misc]simplify: iters left: 5 (124 enodes) 1546938158.407 * * [misc]simplify: iters left: 4 (440 enodes) 1546938158.619 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938158.619 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938158.620 * * * * [misc]progress: [ 1486 / 5901 ] simplifiying candidate # 1546938158.620 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938158.620 * * [misc]simplify: iters left: 6 (52 enodes) 1546938158.629 * * [misc]simplify: iters left: 5 (138 enodes) 1546938158.656 * * [misc]simplify: iters left: 4 (464 enodes) 1546938158.872 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) 1546938158.872 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938158.872 * * * * [misc]progress: [ 1487 / 5901 ] simplifiying candidate # 1546938158.872 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938158.873 * * [misc]simplify: iters left: 6 (47 enodes) 1546938158.884 * * [misc]simplify: iters left: 5 (124 enodes) 1546938158.909 * * [misc]simplify: iters left: 4 (431 enodes) 1546938159.111 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938159.111 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938159.111 * * * * [misc]progress: [ 1488 / 5901 ] simplifiying candidate # 1546938159.112 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938159.112 * * [misc]simplify: iters left: 6 (52 enodes) 1546938159.121 * * [misc]simplify: iters left: 5 (138 enodes) 1546938159.149 * * [misc]simplify: iters left: 4 (464 enodes) 1546938159.374 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) 1546938159.374 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938159.375 * * * * [misc]progress: [ 1489 / 5901 ] simplifiying candidate # 1546938159.375 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938159.375 * * [misc]simplify: iters left: 6 (47 enodes) 1546938159.384 * * [misc]simplify: iters left: 5 (124 enodes) 1546938159.408 * * [misc]simplify: iters left: 4 (431 enodes) 1546938159.617 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938159.617 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938159.617 * * * * [misc]progress: [ 1490 / 5901 ] simplifiying candidate # 1546938159.617 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938159.617 * * [misc]simplify: iters left: 6 (52 enodes) 1546938159.627 * * [misc]simplify: iters left: 5 (136 enodes) 1546938159.659 * * [misc]simplify: iters left: 4 (450 enodes) 1546938159.915 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))))) 1546938159.915 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938159.915 * * * * [misc]progress: [ 1491 / 5901 ] simplifiying candidate # 1546938159.916 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938159.916 * * [misc]simplify: iters left: 6 (53 enodes) 1546938159.926 * * [misc]simplify: iters left: 5 (143 enodes) 1546938159.953 * * [misc]simplify: iters left: 4 (483 enodes) 1546938160.240 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938160.240 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938160.240 * * * * [misc]progress: [ 1492 / 5901 ] simplifiying candidate # 1546938160.241 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938160.241 * * [misc]simplify: iters left: 6 (53 enodes) 1546938160.251 * * [misc]simplify: iters left: 5 (143 enodes) 1546938160.278 * * [misc]simplify: iters left: 4 (481 enodes) 1546938160.553 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938160.553 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938160.553 * * * * [misc]progress: [ 1493 / 5901 ] simplifiying candidate # 1546938160.553 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938160.554 * * [misc]simplify: iters left: 6 (47 enodes) 1546938160.565 * * [misc]simplify: iters left: 5 (122 enodes) 1546938160.588 * * [misc]simplify: iters left: 4 (400 enodes) 1546938160.795 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938160.795 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938160.795 * * * * [misc]progress: [ 1494 / 5901 ] simplifiying candidate # 1546938160.795 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938160.795 * * [misc]simplify: iters left: 6 (52 enodes) 1546938160.805 * * [misc]simplify: iters left: 5 (136 enodes) 1546938160.830 * * [misc]simplify: iters left: 4 (418 enodes) 1546938161.022 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938161.022 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938161.022 * * * * [misc]progress: [ 1495 / 5901 ] simplifiying candidate # 1546938161.023 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938161.023 * * [misc]simplify: iters left: 6 (47 enodes) 1546938161.032 * * [misc]simplify: iters left: 5 (123 enodes) 1546938161.057 * * [misc]simplify: iters left: 4 (391 enodes) 1546938161.232 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938161.232 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938161.233 * * * * [misc]progress: [ 1496 / 5901 ] simplifiying candidate # 1546938161.233 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938161.233 * * [misc]simplify: iters left: 6 (52 enodes) 1546938161.245 * * [misc]simplify: iters left: 5 (136 enodes) 1546938161.270 * * [misc]simplify: iters left: 4 (418 enodes) 1546938161.463 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938161.463 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938161.464 * * * * [misc]progress: [ 1497 / 5901 ] simplifiying candidate # 1546938161.464 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938161.464 * * [misc]simplify: iters left: 6 (47 enodes) 1546938161.472 * * [misc]simplify: iters left: 5 (123 enodes) 1546938161.495 * * [misc]simplify: iters left: 4 (391 enodes) 1546938161.674 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938161.674 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938161.674 * * * * [misc]progress: [ 1498 / 5901 ] simplifiying candidate # 1546938161.675 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938161.675 * * [misc]simplify: iters left: 6 (48 enodes) 1546938161.684 * * [misc]simplify: iters left: 5 (121 enodes) 1546938161.710 * * [misc]simplify: iters left: 4 (409 enodes) 1546938161.931 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938161.931 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938161.931 * * * * [misc]progress: [ 1499 / 5901 ] simplifiying candidate # 1546938161.932 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938161.932 * * [misc]simplify: iters left: 6 (49 enodes) 1546938161.941 * * [misc]simplify: iters left: 5 (128 enodes) 1546938161.965 * * [misc]simplify: iters left: 4 (440 enodes) 1546938162.207 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) 1546938162.207 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938162.207 * * * * [misc]progress: [ 1500 / 5901 ] simplifiying candidate # 1546938162.208 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938162.208 * * [misc]simplify: iters left: 6 (49 enodes) 1546938162.217 * * [misc]simplify: iters left: 5 (128 enodes) 1546938162.244 * * [misc]simplify: iters left: 4 (438 enodes) 1546938162.504 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) 1546938162.504 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938162.504 * * * * [misc]progress: [ 1501 / 5901 ] simplifiying candidate # 1546938162.505 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938162.505 * * [misc]simplify: iters left: 6 (43 enodes) 1546938162.513 * * [misc]simplify: iters left: 5 (107 enodes) 1546938162.533 * * [misc]simplify: iters left: 4 (355 enodes) 1546938162.690 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) 1546938162.690 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938162.691 * * * * [misc]progress: [ 1502 / 5901 ] simplifiying candidate # 1546938162.691 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938162.691 * * [misc]simplify: iters left: 6 (48 enodes) 1546938162.700 * * [misc]simplify: iters left: 5 (121 enodes) 1546938162.722 * * [misc]simplify: iters left: 4 (373 enodes) 1546938162.882 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938162.882 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938162.882 * * * * [misc]progress: [ 1503 / 5901 ] simplifiying candidate # 1546938162.882 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938162.883 * * [misc]simplify: iters left: 6 (43 enodes) 1546938162.890 * * [misc]simplify: iters left: 5 (107 enodes) 1546938162.910 * * [misc]simplify: iters left: 4 (340 enodes) 1546938163.054 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938163.054 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938163.054 * * * * [misc]progress: [ 1504 / 5901 ] simplifiying candidate # 1546938163.055 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938163.055 * * [misc]simplify: iters left: 6 (48 enodes) 1546938163.063 * * [misc]simplify: iters left: 5 (121 enodes) 1546938163.089 * * [misc]simplify: iters left: 4 (373 enodes) 1546938163.263 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938163.263 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938163.263 * * * * [misc]progress: [ 1505 / 5901 ] simplifiying candidate # 1546938163.264 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938163.264 * * [misc]simplify: iters left: 6 (43 enodes) 1546938163.271 * * [misc]simplify: iters left: 5 (107 enodes) 1546938163.296 * * [misc]simplify: iters left: 4 (340 enodes) 1546938163.441 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938163.441 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938163.441 * * * * [misc]progress: [ 1506 / 5901 ] simplifiying candidate # 1546938163.441 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938163.442 * * [misc]simplify: iters left: 6 (52 enodes) 1546938163.451 * * [misc]simplify: iters left: 5 (138 enodes) 1546938163.478 * * [misc]simplify: iters left: 4 (462 enodes) 1546938163.751 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) 1546938163.751 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938163.751 * * * * [misc]progress: [ 1507 / 5901 ] simplifiying candidate # 1546938163.751 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938163.752 * * [misc]simplify: iters left: 6 (53 enodes) 1546938163.762 * * [misc]simplify: iters left: 5 (145 enodes) 1546938163.825 * * [misc]simplify: iters left: 4 (493 enodes) 1546938164.107 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938164.107 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938164.107 * * * * [misc]progress: [ 1508 / 5901 ] simplifiying candidate # 1546938164.107 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938164.108 * * [misc]simplify: iters left: 6 (53 enodes) 1546938164.117 * * [misc]simplify: iters left: 5 (145 enodes) 1546938164.149 * * [misc]simplify: iters left: 4 (491 enodes) 1546938164.426 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938164.426 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938164.426 * * * * [misc]progress: [ 1509 / 5901 ] simplifiying candidate # 1546938164.426 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938164.426 * * [misc]simplify: iters left: 6 (47 enodes) 1546938164.435 * * [misc]simplify: iters left: 5 (125 enodes) 1546938164.460 * * [misc]simplify: iters left: 4 (410 enodes) 1546938164.648 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938164.648 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938164.649 * * * * [misc]progress: [ 1510 / 5901 ] simplifiying candidate # 1546938164.649 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938164.649 * * [misc]simplify: iters left: 6 (52 enodes) 1546938164.658 * * [misc]simplify: iters left: 5 (139 enodes) 1546938164.688 * * [misc]simplify: iters left: 4 (434 enodes) 1546938164.884 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) 1546938164.884 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2))) (- (pow phi1 3) (pow phi2 3)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938164.884 * * * * [misc]progress: [ 1511 / 5901 ] simplifiying candidate # 1546938164.884 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938164.885 * * [misc]simplify: iters left: 6 (47 enodes) 1546938164.896 * * [misc]simplify: iters left: 5 (125 enodes) 1546938164.920 * * [misc]simplify: iters left: 4 (401 enodes) 1546938165.097 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938165.097 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938165.098 * * * * [misc]progress: [ 1512 / 5901 ] simplifiying candidate # 1546938165.098 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938165.098 * * [misc]simplify: iters left: 6 (52 enodes) 1546938165.107 * * [misc]simplify: iters left: 5 (139 enodes) 1546938165.135 * * [misc]simplify: iters left: 4 (434 enodes) 1546938165.329 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (- phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) 1546938165.329 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (- phi1 phi2))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938165.330 * * * * [misc]progress: [ 1513 / 5901 ] simplifiying candidate # 1546938165.330 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938165.330 * * [misc]simplify: iters left: 6 (47 enodes) 1546938165.345 * * [misc]simplify: iters left: 5 (125 enodes) 1546938165.388 * * [misc]simplify: iters left: 4 (401 enodes) 1546938165.569 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938165.569 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938165.569 * * * * [misc]progress: [ 1514 / 5901 ] simplifiying candidate # 1546938165.569 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938165.570 * * [misc]simplify: iters left: 6 (51 enodes) 1546938165.582 * * [misc]simplify: iters left: 5 (131 enodes) 1546938165.607 * * [misc]simplify: iters left: 4 (454 enodes) 1546938165.873 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938165.874 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938165.874 * * * * [misc]progress: [ 1515 / 5901 ] simplifiying candidate # 1546938165.874 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938165.874 * * [misc]simplify: iters left: 6 (52 enodes) 1546938165.883 * * [misc]simplify: iters left: 5 (138 enodes) 1546938165.911 * * [misc]simplify: iters left: 4 (485 enodes) 1546938166.204 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))))) 1546938166.205 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938166.205 * * * * [misc]progress: [ 1516 / 5901 ] simplifiying candidate # 1546938166.205 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938166.205 * * [misc]simplify: iters left: 6 (52 enodes) 1546938166.215 * * [misc]simplify: iters left: 5 (138 enodes) 1546938166.242 * * [misc]simplify: iters left: 4 (483 enodes) 1546938166.521 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938166.522 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938166.522 * * * * [misc]progress: [ 1517 / 5901 ] simplifiying candidate # 1546938166.522 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938166.522 * * [misc]simplify: iters left: 6 (46 enodes) 1546938166.530 * * [misc]simplify: iters left: 5 (118 enodes) 1546938166.554 * * [misc]simplify: iters left: 4 (402 enodes) 1546938166.752 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))))) 1546938166.752 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938166.752 * * * * [misc]progress: [ 1518 / 5901 ] simplifiying candidate # 1546938166.753 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938166.753 * * [misc]simplify: iters left: 6 (51 enodes) 1546938166.762 * * [misc]simplify: iters left: 5 (132 enodes) 1546938166.788 * * [misc]simplify: iters left: 4 (426 enodes) 1546938167.007 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938167.007 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938167.008 * * * * [misc]progress: [ 1519 / 5901 ] simplifiying candidate # 1546938167.008 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938167.008 * * [misc]simplify: iters left: 6 (46 enodes) 1546938167.016 * * [misc]simplify: iters left: 5 (118 enodes) 1546938167.042 * * [misc]simplify: iters left: 4 (393 enodes) 1546938167.225 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938167.225 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938167.226 * * * * [misc]progress: [ 1520 / 5901 ] simplifiying candidate # 1546938167.226 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938167.226 * * [misc]simplify: iters left: 6 (51 enodes) 1546938167.239 * * [misc]simplify: iters left: 5 (132 enodes) 1546938167.264 * * [misc]simplify: iters left: 4 (426 enodes) 1546938167.466 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938167.466 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938167.466 * * * * [misc]progress: [ 1521 / 5901 ] simplifiying candidate # 1546938167.467 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938167.467 * * [misc]simplify: iters left: 6 (46 enodes) 1546938167.475 * * [misc]simplify: iters left: 5 (118 enodes) 1546938167.498 * * [misc]simplify: iters left: 4 (393 enodes) 1546938167.680 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938167.680 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938167.681 * * * * [misc]progress: [ 1522 / 5901 ] simplifiying candidate # 1546938167.681 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938167.681 * * [misc]simplify: iters left: 6 (50 enodes) 1546938167.690 * * [misc]simplify: iters left: 5 (129 enodes) 1546938167.723 * * [misc]simplify: iters left: 4 (444 enodes) 1546938168.025 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938168.025 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938168.025 * * * * [misc]progress: [ 1523 / 5901 ] simplifiying candidate # 1546938168.025 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938168.026 * * [misc]simplify: iters left: 6 (51 enodes) 1546938168.036 * * [misc]simplify: iters left: 5 (136 enodes) 1546938168.064 * * [misc]simplify: iters left: 4 (475 enodes) 1546938168.350 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938168.351 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938168.351 * * * * [misc]progress: [ 1524 / 5901 ] simplifiying candidate # 1546938168.354 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938168.355 * * [misc]simplify: iters left: 6 (51 enodes) 1546938168.364 * * [misc]simplify: iters left: 5 (136 enodes) 1546938168.391 * * [misc]simplify: iters left: 4 (473 enodes) 1546938168.692 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938168.693 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938168.693 * * * * [misc]progress: [ 1525 / 5901 ] simplifiying candidate # 1546938168.693 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938168.693 * * [misc]simplify: iters left: 6 (45 enodes) 1546938168.701 * * [misc]simplify: iters left: 5 (116 enodes) 1546938168.727 * * [misc]simplify: iters left: 4 (392 enodes) 1546938168.911 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) 1546938168.911 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938168.912 * * * * [misc]progress: [ 1526 / 5901 ] simplifiying candidate # 1546938168.912 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938168.912 * * [misc]simplify: iters left: 6 (50 enodes) 1546938168.921 * * [misc]simplify: iters left: 5 (130 enodes) 1546938168.946 * * [misc]simplify: iters left: 4 (423 enodes) 1546938169.150 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) 1546938169.150 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938169.150 * * * * [misc]progress: [ 1527 / 5901 ] simplifiying candidate # 1546938169.150 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938169.150 * * [misc]simplify: iters left: 6 (45 enodes) 1546938169.158 * * [misc]simplify: iters left: 5 (116 enodes) 1546938169.183 * * [misc]simplify: iters left: 4 (390 enodes) 1546938169.358 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) 1546938169.359 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938169.359 * * * * [misc]progress: [ 1528 / 5901 ] simplifiying candidate # 1546938169.359 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938169.359 * * [misc]simplify: iters left: 6 (50 enodes) 1546938169.372 * * [misc]simplify: iters left: 5 (130 enodes) 1546938169.397 * * [misc]simplify: iters left: 4 (423 enodes) 1546938169.596 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) 1546938169.596 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938169.596 * * * * [misc]progress: [ 1529 / 5901 ] simplifiying candidate # 1546938169.596 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938169.597 * * [misc]simplify: iters left: 6 (45 enodes) 1546938169.605 * * [misc]simplify: iters left: 5 (116 enodes) 1546938169.627 * * [misc]simplify: iters left: 4 (390 enodes) 1546938169.809 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) 1546938169.809 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938169.809 * * * * [misc]progress: [ 1530 / 5901 ] simplifiying candidate # 1546938169.809 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938169.810 * * [misc]simplify: iters left: 6 (51 enodes) 1546938169.819 * * [misc]simplify: iters left: 5 (131 enodes) 1546938169.847 * * [misc]simplify: iters left: 4 (454 enodes) 1546938170.115 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938170.115 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938170.115 * * * * [misc]progress: [ 1531 / 5901 ] simplifiying candidate # 1546938170.115 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938170.116 * * [misc]simplify: iters left: 6 (52 enodes) 1546938170.125 * * [misc]simplify: iters left: 5 (138 enodes) 1546938170.152 * * [misc]simplify: iters left: 4 (485 enodes) 1546938170.442 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938170.442 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938170.442 * * * * [misc]progress: [ 1532 / 5901 ] simplifiying candidate # 1546938170.443 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938170.443 * * [misc]simplify: iters left: 6 (52 enodes) 1546938170.455 * * [misc]simplify: iters left: 5 (138 enodes) 1546938170.482 * * [misc]simplify: iters left: 4 (483 enodes) 1546938170.761 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938170.761 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938170.761 * * * * [misc]progress: [ 1533 / 5901 ] simplifiying candidate # 1546938170.761 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938170.761 * * [misc]simplify: iters left: 6 (46 enodes) 1546938170.770 * * [misc]simplify: iters left: 5 (118 enodes) 1546938170.793 * * [misc]simplify: iters left: 4 (402 enodes) 1546938170.983 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))))) 1546938170.984 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))) (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938170.984 * * * * [misc]progress: [ 1534 / 5901 ] simplifiying candidate # 1546938170.984 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938170.984 * * [misc]simplify: iters left: 6 (51 enodes) 1546938170.998 * * [misc]simplify: iters left: 5 (132 enodes) 1546938171.025 * * [misc]simplify: iters left: 4 (426 enodes) 1546938171.222 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938171.222 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938171.222 * * * * [misc]progress: [ 1535 / 5901 ] simplifiying candidate # 1546938171.222 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938171.222 * * [misc]simplify: iters left: 6 (46 enodes) 1546938171.231 * * [misc]simplify: iters left: 5 (118 enodes) 1546938171.253 * * [misc]simplify: iters left: 4 (393 enodes) 1546938171.438 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938171.438 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938171.438 * * * * [misc]progress: [ 1536 / 5901 ] simplifiying candidate # 1546938171.438 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938171.438 * * [misc]simplify: iters left: 6 (51 enodes) 1546938171.448 * * [misc]simplify: iters left: 5 (132 enodes) 1546938171.476 * * [misc]simplify: iters left: 4 (426 enodes) 1546938171.709 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938171.709 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938171.709 * * * * [misc]progress: [ 1537 / 5901 ] simplifiying candidate # 1546938171.709 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938171.710 * * [misc]simplify: iters left: 6 (46 enodes) 1546938171.718 * * [misc]simplify: iters left: 5 (118 enodes) 1546938171.741 * * [misc]simplify: iters left: 4 (393 enodes) 1546938171.922 * [exit]simplify: Simplified to (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) 1546938171.922 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938171.922 * * * * [misc]progress: [ 1538 / 5901 ] simplifiying candidate # 1546938171.922 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938171.923 * * [misc]simplify: iters left: 6 (48 enodes) 1546938171.931 * * [misc]simplify: iters left: 5 (124 enodes) 1546938171.955 * * [misc]simplify: iters left: 4 (421 enodes) 1546938172.204 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938172.204 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938172.204 * * * * [misc]progress: [ 1539 / 5901 ] simplifiying candidate # 1546938172.204 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938172.205 * * [misc]simplify: iters left: 6 (49 enodes) 1546938172.214 * * [misc]simplify: iters left: 5 (131 enodes) 1546938172.243 * * [misc]simplify: iters left: 4 (452 enodes) 1546938172.499 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))))) 1546938172.499 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938172.499 * * * * [misc]progress: [ 1540 / 5901 ] simplifiying candidate # 1546938172.499 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938172.500 * * [misc]simplify: iters left: 6 (49 enodes) 1546938172.508 * * [misc]simplify: iters left: 5 (131 enodes) 1546938172.538 * * [misc]simplify: iters left: 4 (450 enodes) 1546938172.785 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))))) 1546938172.785 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938172.785 * * * * [misc]progress: [ 1541 / 5901 ] simplifiying candidate # 1546938172.785 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938172.785 * * [misc]simplify: iters left: 6 (43 enodes) 1546938172.793 * * [misc]simplify: iters left: 5 (111 enodes) 1546938172.814 * * [misc]simplify: iters left: 4 (369 enodes) 1546938172.980 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) 1546938172.980 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938172.980 * * * * [misc]progress: [ 1542 / 5901 ] simplifiying candidate # 1546938172.980 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938172.981 * * [misc]simplify: iters left: 6 (48 enodes) 1546938172.992 * * [misc]simplify: iters left: 5 (125 enodes) 1546938173.028 * * [misc]simplify: iters left: 4 (393 enodes) 1546938173.218 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938173.218 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938173.218 * * * * [misc]progress: [ 1543 / 5901 ] simplifiying candidate # 1546938173.218 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938173.218 * * [misc]simplify: iters left: 6 (43 enodes) 1546938173.226 * * [misc]simplify: iters left: 5 (111 enodes) 1546938173.249 * * [misc]simplify: iters left: 4 (360 enodes) 1546938173.399 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))))) 1546938173.399 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938173.400 * * * * [misc]progress: [ 1544 / 5901 ] simplifiying candidate # 1546938173.400 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938173.400 * * [misc]simplify: iters left: 6 (48 enodes) 1546938173.409 * * [misc]simplify: iters left: 5 (125 enodes) 1546938173.435 * * [misc]simplify: iters left: 4 (393 enodes) 1546938173.605 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938173.606 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938173.606 * * * * [misc]progress: [ 1545 / 5901 ] simplifiying candidate # 1546938173.606 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938173.606 * * [misc]simplify: iters left: 6 (43 enodes) 1546938173.617 * * [misc]simplify: iters left: 5 (111 enodes) 1546938173.638 * * [misc]simplify: iters left: 4 (360 enodes) 1546938173.793 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))))) 1546938173.793 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (+ lambda1 lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (cbrt (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938173.793 * * * * [misc]progress: [ 1546 / 5901 ] simplifiying candidate # 1546938173.793 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938173.794 * * [misc]simplify: iters left: 6 (47 enodes) 1546938173.802 * * [misc]simplify: iters left: 5 (124 enodes) 1546938173.829 * * [misc]simplify: iters left: 4 (404 enodes) 1546938174.052 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938174.052 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938174.052 * * * * [misc]progress: [ 1547 / 5901 ] simplifiying candidate # 1546938174.052 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938174.052 * * [misc]simplify: iters left: 6 (48 enodes) 1546938174.061 * * [misc]simplify: iters left: 5 (131 enodes) 1546938174.086 * * [misc]simplify: iters left: 4 (435 enodes) 1546938174.329 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 1546938174.329 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938174.329 * * * * [misc]progress: [ 1548 / 5901 ] simplifiying candidate # 1546938174.330 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938174.330 * * [misc]simplify: iters left: 6 (48 enodes) 1546938174.339 * * [misc]simplify: iters left: 5 (131 enodes) 1546938174.365 * * [misc]simplify: iters left: 4 (433 enodes) 1546938174.597 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))))))) 1546938174.597 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938174.597 * * * * [misc]progress: [ 1549 / 5901 ] simplifiying candidate # 1546938174.598 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938174.598 * * [misc]simplify: iters left: 6 (42 enodes) 1546938174.605 * * [misc]simplify: iters left: 5 (111 enodes) 1546938174.627 * * [misc]simplify: iters left: 4 (352 enodes) 1546938174.779 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 1546938174.779 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938174.779 * * * * [misc]progress: [ 1550 / 5901 ] simplifiying candidate # 1546938174.779 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938174.779 * * [misc]simplify: iters left: 6 (47 enodes) 1546938174.788 * * [misc]simplify: iters left: 5 (125 enodes) 1546938174.811 * * [misc]simplify: iters left: 4 (376 enodes) 1546938174.970 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938174.970 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938174.970 * * * * [misc]progress: [ 1551 / 5901 ] simplifiying candidate # 1546938174.970 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938174.971 * * [misc]simplify: iters left: 6 (42 enodes) 1546938174.978 * * [misc]simplify: iters left: 5 (111 enodes) 1546938175.002 * * [misc]simplify: iters left: 4 (343 enodes) 1546938175.566 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938175.566 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938175.566 * * * * [misc]progress: [ 1552 / 5901 ] simplifiying candidate # 1546938175.566 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938175.567 * * [misc]simplify: iters left: 6 (47 enodes) 1546938175.575 * * [misc]simplify: iters left: 5 (125 enodes) 1546938175.599 * * [misc]simplify: iters left: 4 (376 enodes) 1546938175.758 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938175.758 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938175.758 * * * * [misc]progress: [ 1553 / 5901 ] simplifiying candidate # 1546938175.758 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938175.758 * * [misc]simplify: iters left: 6 (42 enodes) 1546938175.766 * * [misc]simplify: iters left: 5 (111 enodes) 1546938175.787 * * [misc]simplify: iters left: 4 (343 enodes) 1546938175.929 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938175.929 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938175.930 * * * * [misc]progress: [ 1554 / 5901 ] simplifiying candidate # 1546938175.930 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938175.930 * * [misc]simplify: iters left: 6 (51 enodes) 1546938175.939 * * [misc]simplify: iters left: 5 (139 enodes) 1546938175.971 * * [misc]simplify: iters left: 4 (486 enodes) 1546938176.271 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938176.271 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938176.271 * * * * [misc]progress: [ 1555 / 5901 ] simplifiying candidate # 1546938176.271 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938176.272 * * [misc]simplify: iters left: 6 (52 enodes) 1546938176.281 * * [misc]simplify: iters left: 5 (146 enodes) 1546938176.324 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938176.324 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938176.324 * * * * [misc]progress: [ 1556 / 5901 ] simplifiying candidate # 1546938176.324 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938176.325 * * [misc]simplify: iters left: 6 (52 enodes) 1546938176.334 * * [misc]simplify: iters left: 5 (146 enodes) 1546938176.375 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938176.375 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938176.375 * * * * [misc]progress: [ 1557 / 5901 ] simplifiying candidate # 1546938176.375 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938176.376 * * [misc]simplify: iters left: 6 (46 enodes) 1546938176.384 * * [misc]simplify: iters left: 5 (126 enodes) 1546938176.411 * * [misc]simplify: iters left: 4 (434 enodes) 1546938176.633 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938176.633 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938176.633 * * * * [misc]progress: [ 1558 / 5901 ] simplifiying candidate # 1546938176.633 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938176.634 * * [misc]simplify: iters left: 6 (51 enodes) 1546938176.643 * * [misc]simplify: iters left: 5 (140 enodes) 1546938176.670 * * [misc]simplify: iters left: 4 (458 enodes) 1546938176.889 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938176.889 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938176.889 * * * * [misc]progress: [ 1559 / 5901 ] simplifiying candidate # 1546938176.889 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938176.890 * * [misc]simplify: iters left: 6 (46 enodes) 1546938176.898 * * [misc]simplify: iters left: 5 (126 enodes) 1546938176.923 * * [misc]simplify: iters left: 4 (425 enodes) 1546938177.116 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938177.116 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938177.116 * * * * [misc]progress: [ 1560 / 5901 ] simplifiying candidate # 1546938177.117 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938177.117 * * [misc]simplify: iters left: 6 (51 enodes) 1546938177.126 * * [misc]simplify: iters left: 5 (140 enodes) 1546938177.156 * * [misc]simplify: iters left: 4 (458 enodes) 1546938177.374 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938177.374 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938177.374 * * * * [misc]progress: [ 1561 / 5901 ] simplifiying candidate # 1546938177.374 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938177.374 * * [misc]simplify: iters left: 6 (46 enodes) 1546938177.383 * * [misc]simplify: iters left: 5 (126 enodes) 1546938177.408 * * [misc]simplify: iters left: 4 (425 enodes) 1546938177.605 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938177.605 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938177.605 * * * * [misc]progress: [ 1562 / 5901 ] simplifiying candidate # 1546938177.606 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938177.606 * * [misc]simplify: iters left: 6 (51 enodes) 1546938177.615 * * [misc]simplify: iters left: 5 (139 enodes) 1546938177.646 * * [misc]simplify: iters left: 4 (484 enodes) 1546938177.940 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938177.940 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938177.941 * * * * [misc]progress: [ 1563 / 5901 ] simplifiying candidate # 1546938177.941 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938177.941 * * [misc]simplify: iters left: 6 (52 enodes) 1546938177.951 * * [misc]simplify: iters left: 5 (146 enodes) 1546938177.990 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938177.990 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938177.991 * * * * [misc]progress: [ 1564 / 5901 ] simplifiying candidate # 1546938177.991 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938177.991 * * [misc]simplify: iters left: 6 (52 enodes) 1546938178.001 * * [misc]simplify: iters left: 5 (146 enodes) 1546938178.041 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938178.041 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938178.041 * * * * [misc]progress: [ 1565 / 5901 ] simplifiying candidate # 1546938178.041 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938178.042 * * [misc]simplify: iters left: 6 (46 enodes) 1546938178.050 * * [misc]simplify: iters left: 5 (126 enodes) 1546938178.077 * * [misc]simplify: iters left: 4 (432 enodes) 1546938178.288 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938178.288 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938178.288 * * * * [misc]progress: [ 1566 / 5901 ] simplifiying candidate # 1546938178.288 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938178.289 * * [misc]simplify: iters left: 6 (51 enodes) 1546938178.298 * * [misc]simplify: iters left: 5 (140 enodes) 1546938178.325 * * [misc]simplify: iters left: 4 (456 enodes) 1546938178.537 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938178.538 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938178.538 * * * * [misc]progress: [ 1567 / 5901 ] simplifiying candidate # 1546938178.538 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938178.538 * * [misc]simplify: iters left: 6 (46 enodes) 1546938178.550 * * [misc]simplify: iters left: 5 (126 enodes) 1546938178.574 * * [misc]simplify: iters left: 4 (423 enodes) 1546938178.766 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938178.766 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- phi1 phi2)))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938178.766 * * * * [misc]progress: [ 1568 / 5901 ] simplifiying candidate # 1546938178.766 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938178.767 * * [misc]simplify: iters left: 6 (51 enodes) 1546938178.776 * * [misc]simplify: iters left: 5 (140 enodes) 1546938178.804 * * [misc]simplify: iters left: 4 (456 enodes) 1546938179.019 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938179.019 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938179.019 * * * * [misc]progress: [ 1569 / 5901 ] simplifiying candidate # 1546938179.019 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938179.020 * * [misc]simplify: iters left: 6 (46 enodes) 1546938179.028 * * [misc]simplify: iters left: 5 (126 enodes) 1546938179.053 * * [misc]simplify: iters left: 4 (423 enodes) 1546938179.273 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938179.273 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938179.273 * * * * [misc]progress: [ 1570 / 5901 ] simplifiying candidate # 1546938179.274 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938179.274 * * [misc]simplify: iters left: 6 (47 enodes) 1546938179.283 * * [misc]simplify: iters left: 5 (120 enodes) 1546938179.306 * * [misc]simplify: iters left: 4 (390 enodes) 1546938179.510 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938179.510 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938179.510 * * * * [misc]progress: [ 1571 / 5901 ] simplifiying candidate # 1546938179.511 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938179.511 * * [misc]simplify: iters left: 6 (48 enodes) 1546938179.523 * * [misc]simplify: iters left: 5 (127 enodes) 1546938179.547 * * [misc]simplify: iters left: 4 (421 enodes) 1546938179.769 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 1546938179.769 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938179.770 * * * * [misc]progress: [ 1572 / 5901 ] simplifiying candidate # 1546938179.770 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938179.770 * * [misc]simplify: iters left: 6 (48 enodes) 1546938179.779 * * [misc]simplify: iters left: 5 (127 enodes) 1546938179.806 * * [misc]simplify: iters left: 4 (419 enodes) 1546938180.022 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))) 1546938180.022 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938180.022 * * * * [misc]progress: [ 1573 / 5901 ] simplifiying candidate # 1546938180.022 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938180.023 * * [misc]simplify: iters left: 6 (42 enodes) 1546938180.030 * * [misc]simplify: iters left: 5 (108 enodes) 1546938180.051 * * [misc]simplify: iters left: 4 (340 enodes) 1546938180.192 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 1546938180.192 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938180.192 * * * * [misc]progress: [ 1574 / 5901 ] simplifiying candidate # 1546938180.192 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938180.193 * * [misc]simplify: iters left: 6 (47 enodes) 1546938180.201 * * [misc]simplify: iters left: 5 (122 enodes) 1546938180.226 * * [misc]simplify: iters left: 4 (358 enodes) 1546938180.372 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938180.372 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938180.372 * * * * [misc]progress: [ 1575 / 5901 ] simplifiying candidate # 1546938180.372 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938180.373 * * [misc]simplify: iters left: 6 (42 enodes) 1546938180.380 * * [misc]simplify: iters left: 5 (109 enodes) 1546938180.401 * * [misc]simplify: iters left: 4 (327 enodes) 1546938180.534 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938180.534 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938180.534 * * * * [misc]progress: [ 1576 / 5901 ] simplifiying candidate # 1546938180.534 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938180.535 * * [misc]simplify: iters left: 6 (47 enodes) 1546938180.544 * * [misc]simplify: iters left: 5 (122 enodes) 1546938180.570 * * [misc]simplify: iters left: 4 (358 enodes) 1546938180.719 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938180.720 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938180.720 * * * * [misc]progress: [ 1577 / 5901 ] simplifiying candidate # 1546938180.720 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938180.720 * * [misc]simplify: iters left: 6 (42 enodes) 1546938180.728 * * [misc]simplify: iters left: 5 (109 enodes) 1546938180.757 * * [misc]simplify: iters left: 4 (327 enodes) 1546938180.899 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938180.899 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938180.900 * * * * [misc]progress: [ 1578 / 5901 ] simplifiying candidate # 1546938180.900 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938180.900 * * [misc]simplify: iters left: 6 (52 enodes) 1546938180.910 * * [misc]simplify: iters left: 5 (135 enodes) 1546938180.939 * * [misc]simplify: iters left: 4 (452 enodes) 1546938181.200 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 1546938181.200 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938181.200 * * * * [misc]progress: [ 1579 / 5901 ] simplifiying candidate # 1546938181.200 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938181.201 * * [misc]simplify: iters left: 6 (53 enodes) 1546938181.210 * * [misc]simplify: iters left: 5 (142 enodes) 1546938181.238 * * [misc]simplify: iters left: 4 (483 enodes) 1546938181.514 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938181.514 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938181.515 * * * * [misc]progress: [ 1580 / 5901 ] simplifiying candidate # 1546938181.515 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938181.516 * * [misc]simplify: iters left: 6 (53 enodes) 1546938181.525 * * [misc]simplify: iters left: 5 (142 enodes) 1546938181.554 * * [misc]simplify: iters left: 4 (481 enodes) 1546938181.823 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938181.823 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938181.823 * * * * [misc]progress: [ 1581 / 5901 ] simplifiying candidate # 1546938181.824 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938181.824 * * [misc]simplify: iters left: 6 (47 enodes) 1546938181.833 * * [misc]simplify: iters left: 5 (122 enodes) 1546938181.857 * * [misc]simplify: iters left: 4 (400 enodes) 1546938182.040 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938182.041 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938182.041 * * * * [misc]progress: [ 1582 / 5901 ] simplifiying candidate # 1546938182.041 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938182.041 * * [misc]simplify: iters left: 6 (52 enodes) 1546938182.050 * * [misc]simplify: iters left: 5 (136 enodes) 1546938182.076 * * [misc]simplify: iters left: 4 (424 enodes) 1546938182.270 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938182.270 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938182.271 * * * * [misc]progress: [ 1583 / 5901 ] simplifiying candidate # 1546938182.271 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938182.271 * * [misc]simplify: iters left: 6 (47 enodes) 1546938182.280 * * [misc]simplify: iters left: 5 (122 enodes) 1546938182.305 * * [misc]simplify: iters left: 4 (391 enodes) 1546938182.475 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546938182.475 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938182.475 * * * * [misc]progress: [ 1584 / 5901 ] simplifiying candidate # 1546938182.475 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938182.476 * * [misc]simplify: iters left: 6 (52 enodes) 1546938182.485 * * [misc]simplify: iters left: 5 (136 enodes) 1546938182.514 * * [misc]simplify: iters left: 4 (424 enodes) 1546938182.707 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938182.707 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938182.708 * * * * [misc]progress: [ 1585 / 5901 ] simplifiying candidate # 1546938182.708 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938182.708 * * [misc]simplify: iters left: 6 (47 enodes) 1546938182.719 * * [misc]simplify: iters left: 5 (122 enodes) 1546938182.742 * * [misc]simplify: iters left: 4 (391 enodes) 1546938182.920 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546938182.920 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938182.920 * * * * [misc]progress: [ 1586 / 5901 ] simplifiying candidate # 1546938182.921 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938182.921 * * [misc]simplify: iters left: 6 (52 enodes) 1546938182.930 * * [misc]simplify: iters left: 5 (135 enodes) 1546938182.956 * * [misc]simplify: iters left: 4 (454 enodes) 1546938183.219 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))))))) 1546938183.219 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938183.219 * * * * [misc]progress: [ 1587 / 5901 ] simplifiying candidate # 1546938183.219 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938183.220 * * [misc]simplify: iters left: 6 (53 enodes) 1546938183.230 * * [misc]simplify: iters left: 5 (142 enodes) 1546938183.259 * * [misc]simplify: iters left: 4 (485 enodes) 1546938183.540 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938183.540 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938183.540 * * * * [misc]progress: [ 1588 / 5901 ] simplifiying candidate # 1546938183.540 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938183.540 * * [misc]simplify: iters left: 6 (53 enodes) 1546938183.550 * * [misc]simplify: iters left: 5 (142 enodes) 1546938183.579 * * [misc]simplify: iters left: 4 (483 enodes) 1546938183.858 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938183.858 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938183.858 * * * * [misc]progress: [ 1589 / 5901 ] simplifiying candidate # 1546938183.858 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938183.859 * * [misc]simplify: iters left: 6 (47 enodes) 1546938183.867 * * [misc]simplify: iters left: 5 (122 enodes) 1546938183.893 * * [misc]simplify: iters left: 4 (402 enodes) 1546938184.077 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938184.077 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938184.078 * * * * [misc]progress: [ 1590 / 5901 ] simplifiying candidate # 1546938184.078 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938184.078 * * [misc]simplify: iters left: 6 (52 enodes) 1546938184.087 * * [misc]simplify: iters left: 5 (136 enodes) 1546938184.116 * * [misc]simplify: iters left: 4 (426 enodes) 1546938184.313 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938184.313 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938184.314 * * * * [misc]progress: [ 1591 / 5901 ] simplifiying candidate # 1546938184.314 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938184.314 * * [misc]simplify: iters left: 6 (47 enodes) 1546938184.323 * * [misc]simplify: iters left: 5 (122 enodes) 1546938184.346 * * [misc]simplify: iters left: 4 (393 enodes) 1546938184.520 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938184.520 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (+ phi1 phi2)) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938184.520 * * * * [misc]progress: [ 1592 / 5901 ] simplifiying candidate # 1546938184.520 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938184.520 * * [misc]simplify: iters left: 6 (52 enodes) 1546938184.530 * * [misc]simplify: iters left: 5 (136 enodes) 1546938184.556 * * [misc]simplify: iters left: 4 (426 enodes) 1546938184.754 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938184.754 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938184.754 * * * * [misc]progress: [ 1593 / 5901 ] simplifiying candidate # 1546938184.754 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938184.755 * * [misc]simplify: iters left: 6 (47 enodes) 1546938184.763 * * [misc]simplify: iters left: 5 (122 enodes) 1546938184.790 * * [misc]simplify: iters left: 4 (393 enodes) 1546938184.971 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938184.971 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938184.971 * * * * [misc]progress: [ 1594 / 5901 ] simplifiying candidate # 1546938184.971 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938184.972 * * [misc]simplify: iters left: 6 (52 enodes) 1546938184.981 * * [misc]simplify: iters left: 5 (136 enodes) 1546938185.011 * * [misc]simplify: iters left: 4 (453 enodes) 1546938185.295 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 1546938185.295 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938185.295 * * * * [misc]progress: [ 1595 / 5901 ] simplifiying candidate # 1546938185.295 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938185.295 * * [misc]simplify: iters left: 6 (53 enodes) 1546938185.305 * * [misc]simplify: iters left: 5 (143 enodes) 1546938185.333 * * [misc]simplify: iters left: 4 (484 enodes) 1546938185.646 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938185.646 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938185.646 * * * * [misc]progress: [ 1596 / 5901 ] simplifiying candidate # 1546938185.646 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938185.647 * * [misc]simplify: iters left: 6 (53 enodes) 1546938185.656 * * [misc]simplify: iters left: 5 (143 enodes) 1546938185.685 * * [misc]simplify: iters left: 4 (482 enodes) 1546938185.958 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))))))) 1546938185.958 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938185.958 * * * * [misc]progress: [ 1597 / 5901 ] simplifiying candidate # 1546938185.959 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938185.959 * * [misc]simplify: iters left: 6 (47 enodes) 1546938185.967 * * [misc]simplify: iters left: 5 (123 enodes) 1546938185.991 * * [misc]simplify: iters left: 4 (401 enodes) 1546938186.178 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938186.178 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938186.178 * * * * [misc]progress: [ 1598 / 5901 ] simplifiying candidate # 1546938186.178 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938186.180 * * [misc]simplify: iters left: 6 (52 enodes) 1546938186.189 * * [misc]simplify: iters left: 5 (137 enodes) 1546938186.215 * * [misc]simplify: iters left: 4 (425 enodes) 1546938186.403 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938186.403 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938186.403 * * * * [misc]progress: [ 1599 / 5901 ] simplifiying candidate # 1546938186.403 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938186.404 * * [misc]simplify: iters left: 6 (47 enodes) 1546938186.412 * * [misc]simplify: iters left: 5 (123 enodes) 1546938186.437 * * [misc]simplify: iters left: 4 (392 enodes) 1546938186.611 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546938186.611 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938186.611 * * * * [misc]progress: [ 1600 / 5901 ] simplifiying candidate # 1546938186.611 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938186.612 * * [misc]simplify: iters left: 6 (52 enodes) 1546938186.621 * * [misc]simplify: iters left: 5 (137 enodes) 1546938186.650 * * [misc]simplify: iters left: 4 (425 enodes) 1546938186.840 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938186.840 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938186.840 * * * * [misc]progress: [ 1601 / 5901 ] simplifiying candidate # 1546938186.840 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938186.840 * * [misc]simplify: iters left: 6 (47 enodes) 1546938186.852 * * [misc]simplify: iters left: 5 (123 enodes) 1546938186.875 * * [misc]simplify: iters left: 4 (392 enodes) 1546938187.064 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938187.064 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938187.065 * * * * [misc]progress: [ 1602 / 5901 ] simplifiying candidate # 1546938187.065 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938187.065 * * [misc]simplify: iters left: 6 (52 enodes) 1546938187.078 * * [misc]simplify: iters left: 5 (136 enodes) 1546938187.104 * * [misc]simplify: iters left: 4 (455 enodes) 1546938187.367 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) 1546938187.367 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938187.367 * * * * [misc]progress: [ 1603 / 5901 ] simplifiying candidate # 1546938187.367 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938187.367 * * [misc]simplify: iters left: 6 (53 enodes) 1546938187.377 * * [misc]simplify: iters left: 5 (143 enodes) 1546938187.405 * * [misc]simplify: iters left: 4 (486 enodes) 1546938187.683 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938187.683 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938187.684 * * * * [misc]progress: [ 1604 / 5901 ] simplifiying candidate # 1546938187.684 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938187.684 * * [misc]simplify: iters left: 6 (53 enodes) 1546938187.697 * * [misc]simplify: iters left: 5 (143 enodes) 1546938187.725 * * [misc]simplify: iters left: 4 (484 enodes) 1546938187.995 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))))))) 1546938187.995 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* (+ phi1 phi2) phi1) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938187.996 * * * * [misc]progress: [ 1605 / 5901 ] simplifiying candidate # 1546938187.996 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938187.996 * * [misc]simplify: iters left: 6 (47 enodes) 1546938188.005 * * [misc]simplify: iters left: 5 (123 enodes) 1546938188.029 * * [misc]simplify: iters left: 4 (403 enodes) 1546938188.217 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938188.217 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938188.217 * * * * [misc]progress: [ 1606 / 5901 ] simplifiying candidate # 1546938188.217 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938188.217 * * [misc]simplify: iters left: 6 (52 enodes) 1546938188.227 * * [misc]simplify: iters left: 5 (137 enodes) 1546938188.255 * * [misc]simplify: iters left: 4 (427 enodes) 1546938188.466 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938188.466 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938188.466 * * * * [misc]progress: [ 1607 / 5901 ] simplifiying candidate # 1546938188.466 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938188.466 * * [misc]simplify: iters left: 6 (47 enodes) 1546938188.478 * * [misc]simplify: iters left: 5 (123 enodes) 1546938188.502 * * [misc]simplify: iters left: 4 (394 enodes) 1546938188.676 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938188.676 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938188.676 * * * * [misc]progress: [ 1608 / 5901 ] simplifiying candidate # 1546938188.676 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938188.676 * * [misc]simplify: iters left: 6 (52 enodes) 1546938188.686 * * [misc]simplify: iters left: 5 (137 enodes) 1546938188.712 * * [misc]simplify: iters left: 4 (427 enodes) 1546938188.908 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938188.909 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938188.909 * * * * [misc]progress: [ 1609 / 5901 ] simplifiying candidate # 1546938188.909 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938188.909 * * [misc]simplify: iters left: 6 (47 enodes) 1546938188.918 * * [misc]simplify: iters left: 5 (123 enodes) 1546938188.941 * * [misc]simplify: iters left: 4 (394 enodes) 1546938189.121 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938189.121 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2)))) (* (+ phi1 phi2) (- phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938189.122 * * * * [misc]progress: [ 1610 / 5901 ] simplifiying candidate # 1546938189.122 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938189.122 * * [misc]simplify: iters left: 6 (51 enodes) 1546938189.132 * * [misc]simplify: iters left: 5 (139 enodes) 1546938189.162 * * [misc]simplify: iters left: 4 (486 enodes) 1546938189.458 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938189.458 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938189.459 * * * * [misc]progress: [ 1611 / 5901 ] simplifiying candidate # 1546938189.459 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938189.459 * * [misc]simplify: iters left: 6 (52 enodes) 1546938189.469 * * [misc]simplify: iters left: 5 (146 enodes) 1546938189.509 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 1546938189.509 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938189.509 * * * * [misc]progress: [ 1612 / 5901 ] simplifiying candidate # 1546938189.509 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938189.509 * * [misc]simplify: iters left: 6 (52 enodes) 1546938189.519 * * [misc]simplify: iters left: 5 (146 enodes) 1546938189.559 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) 1546938189.559 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- (* lambda1 lambda1) (* lambda2 lambda2)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938189.559 * * * * [misc]progress: [ 1613 / 5901 ] simplifiying candidate # 1546938189.559 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938189.560 * * [misc]simplify: iters left: 6 (46 enodes) 1546938189.568 * * [misc]simplify: iters left: 5 (126 enodes) 1546938189.595 * * [misc]simplify: iters left: 4 (434 enodes) 1546938189.806 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) 1546938189.806 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ phi1 phi2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938189.807 * * * * [misc]progress: [ 1614 / 5901 ] simplifiying candidate # 1546938189.807 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938189.808 * * [misc]simplify: iters left: 6 (51 enodes) 1546938189.825 * * [misc]simplify: iters left: 5 (140 enodes) 1546938189.856 * * [misc]simplify: iters left: 4 (458 enodes) 1546938190.090 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938190.090 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938190.090 * * * * [misc]progress: [ 1615 / 5901 ] simplifiying candidate # 1546938190.090 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938190.090 * * [misc]simplify: iters left: 6 (46 enodes) 1546938190.099 * * [misc]simplify: iters left: 5 (126 enodes) 1546938190.126 * * [misc]simplify: iters left: 4 (425 enodes) 1546938190.320 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938190.320 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938190.320 * * * * [misc]progress: [ 1616 / 5901 ] simplifiying candidate # 1546938190.321 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938190.321 * * [misc]simplify: iters left: 6 (51 enodes) 1546938190.330 * * [misc]simplify: iters left: 5 (140 enodes) 1546938190.358 * * [misc]simplify: iters left: 4 (458 enodes) 1546938190.570 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938190.570 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938190.570 * * * * [misc]progress: [ 1617 / 5901 ] simplifiying candidate # 1546938190.570 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938190.571 * * [misc]simplify: iters left: 6 (46 enodes) 1546938190.582 * * [misc]simplify: iters left: 5 (126 enodes) 1546938190.607 * * [misc]simplify: iters left: 4 (425 enodes) 1546938190.807 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938190.807 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ phi1 phi2) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938190.807 * * * * [misc]progress: [ 1618 / 5901 ] simplifiying candidate # 1546938190.808 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938190.808 * * [misc]simplify: iters left: 6 (47 enodes) 1546938190.816 * * [misc]simplify: iters left: 5 (125 enodes) 1546938190.841 * * [misc]simplify: iters left: 4 (412 enodes) 1546938191.064 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938191.065 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938191.065 * * * * [misc]progress: [ 1619 / 5901 ] simplifiying candidate # 1546938191.065 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938191.065 * * [misc]simplify: iters left: 6 (48 enodes) 1546938191.074 * * [misc]simplify: iters left: 5 (132 enodes) 1546938191.100 * * [misc]simplify: iters left: 4 (443 enodes) 1546938191.344 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 1546938191.344 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938191.344 * * * * [misc]progress: [ 1620 / 5901 ] simplifiying candidate # 1546938191.345 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938191.345 * * [misc]simplify: iters left: 6 (48 enodes) 1546938191.354 * * [misc]simplify: iters left: 5 (132 enodes) 1546938191.380 * * [misc]simplify: iters left: 4 (441 enodes) 1546938191.629 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) 1546938191.629 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938191.629 * * * * [misc]progress: [ 1621 / 5901 ] simplifiying candidate # 1546938191.630 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938191.630 * * [misc]simplify: iters left: 6 (42 enodes) 1546938191.638 * * [misc]simplify: iters left: 5 (112 enodes) 1546938191.661 * * [misc]simplify: iters left: 4 (360 enodes) 1546938191.817 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 1546938191.817 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938191.817 * * * * [misc]progress: [ 1622 / 5901 ] simplifiying candidate # 1546938191.817 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938191.818 * * [misc]simplify: iters left: 6 (47 enodes) 1546938191.826 * * [misc]simplify: iters left: 5 (126 enodes) 1546938191.850 * * [misc]simplify: iters left: 4 (384 enodes) 1546938192.009 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938192.009 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938192.009 * * * * [misc]progress: [ 1623 / 5901 ] simplifiying candidate # 1546938192.009 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938192.010 * * [misc]simplify: iters left: 6 (42 enodes) 1546938192.020 * * [misc]simplify: iters left: 5 (112 enodes) 1546938192.042 * * [misc]simplify: iters left: 4 (351 enodes) 1546938192.187 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938192.187 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938192.187 * * * * [misc]progress: [ 1624 / 5901 ] simplifiying candidate # 1546938192.187 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938192.188 * * [misc]simplify: iters left: 6 (47 enodes) 1546938192.196 * * [misc]simplify: iters left: 5 (126 enodes) 1546938192.219 * * [misc]simplify: iters left: 4 (384 enodes) 1546938192.383 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938192.383 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938192.383 * * * * [misc]progress: [ 1625 / 5901 ] simplifiying candidate # 1546938192.384 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938192.384 * * [misc]simplify: iters left: 6 (42 enodes) 1546938192.391 * * [misc]simplify: iters left: 5 (112 enodes) 1546938192.412 * * [misc]simplify: iters left: 4 (351 enodes) 1546938192.558 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938192.558 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938192.558 * * * * [misc]progress: [ 1626 / 5901 ] simplifiying candidate # 1546938192.559 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938192.559 * * [misc]simplify: iters left: 6 (51 enodes) 1546938192.568 * * [misc]simplify: iters left: 5 (137 enodes) 1546938192.595 * * [misc]simplify: iters left: 4 (449 enodes) 1546938192.847 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938192.847 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938192.847 * * * * [misc]progress: [ 1627 / 5901 ] simplifiying candidate # 1546938192.847 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938192.847 * * [misc]simplify: iters left: 6 (52 enodes) 1546938192.857 * * [misc]simplify: iters left: 5 (144 enodes) 1546938192.885 * * [misc]simplify: iters left: 4 (479 enodes) 1546938193.623 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938193.623 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938193.623 * * * * [misc]progress: [ 1628 / 5901 ] simplifiying candidate # 1546938193.623 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938193.624 * * [misc]simplify: iters left: 6 (52 enodes) 1546938193.635 * * [misc]simplify: iters left: 5 (144 enodes) 1546938193.664 * * [misc]simplify: iters left: 4 (477 enodes) 1546938193.931 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938193.931 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938193.931 * * * * [misc]progress: [ 1629 / 5901 ] simplifiying candidate # 1546938193.931 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938193.931 * * [misc]simplify: iters left: 6 (46 enodes) 1546938193.940 * * [misc]simplify: iters left: 5 (124 enodes) 1546938193.966 * * [misc]simplify: iters left: 4 (395 enodes) 1546938194.144 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938194.144 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938194.144 * * * * [misc]progress: [ 1630 / 5901 ] simplifiying candidate # 1546938194.144 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938194.145 * * [misc]simplify: iters left: 6 (51 enodes) 1546938194.157 * * [misc]simplify: iters left: 5 (138 enodes) 1546938194.183 * * [misc]simplify: iters left: 4 (423 enodes) 1546938194.378 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938194.378 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938194.379 * * * * [misc]progress: [ 1631 / 5901 ] simplifiying candidate # 1546938194.379 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938194.379 * * [misc]simplify: iters left: 6 (46 enodes) 1546938194.388 * * [misc]simplify: iters left: 5 (124 enodes) 1546938194.411 * * [misc]simplify: iters left: 4 (391 enodes) 1546938194.595 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938194.595 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938194.595 * * * * [misc]progress: [ 1632 / 5901 ] simplifiying candidate # 1546938194.596 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938194.596 * * [misc]simplify: iters left: 6 (51 enodes) 1546938194.609 * * [misc]simplify: iters left: 5 (138 enodes) 1546938194.637 * * [misc]simplify: iters left: 4 (423 enodes) 1546938194.833 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938194.833 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938194.833 * * * * [misc]progress: [ 1633 / 5901 ] simplifiying candidate # 1546938194.834 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938194.834 * * [misc]simplify: iters left: 6 (46 enodes) 1546938194.842 * * [misc]simplify: iters left: 5 (124 enodes) 1546938194.866 * * [misc]simplify: iters left: 4 (391 enodes) 1546938195.046 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938195.046 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938195.046 * * * * [misc]progress: [ 1634 / 5901 ] simplifiying candidate # 1546938195.047 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938195.047 * * [misc]simplify: iters left: 6 (47 enodes) 1546938195.056 * * [misc]simplify: iters left: 5 (121 enodes) 1546938195.079 * * [misc]simplify: iters left: 4 (398 enodes) 1546938195.286 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938195.287 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938195.287 * * * * [misc]progress: [ 1635 / 5901 ] simplifiying candidate # 1546938195.287 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938195.287 * * [misc]simplify: iters left: 6 (48 enodes) 1546938195.296 * * [misc]simplify: iters left: 5 (128 enodes) 1546938195.325 * * [misc]simplify: iters left: 4 (429 enodes) 1546938195.550 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 1546938195.550 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938195.550 * * * * [misc]progress: [ 1636 / 5901 ] simplifiying candidate # 1546938195.550 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938195.551 * * [misc]simplify: iters left: 6 (48 enodes) 1546938195.559 * * [misc]simplify: iters left: 5 (128 enodes) 1546938195.586 * * [misc]simplify: iters left: 4 (427 enodes) 1546938195.805 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 1546938195.805 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938195.805 * * * * [misc]progress: [ 1637 / 5901 ] simplifiying candidate # 1546938195.806 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938195.806 * * [misc]simplify: iters left: 6 (42 enodes) 1546938195.813 * * [misc]simplify: iters left: 5 (109 enodes) 1546938195.834 * * [misc]simplify: iters left: 4 (348 enodes) 1546938195.986 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 1546938195.986 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938195.986 * * * * [misc]progress: [ 1638 / 5901 ] simplifiying candidate # 1546938195.986 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938195.986 * * [misc]simplify: iters left: 6 (47 enodes) 1546938195.998 * * [misc]simplify: iters left: 5 (123 enodes) 1546938196.022 * * [misc]simplify: iters left: 4 (366 enodes) 1546938196.213 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938196.213 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938196.213 * * * * [misc]progress: [ 1639 / 5901 ] simplifiying candidate # 1546938196.213 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938196.214 * * [misc]simplify: iters left: 6 (42 enodes) 1546938196.221 * * [misc]simplify: iters left: 5 (110 enodes) 1546938196.242 * * [misc]simplify: iters left: 4 (335 enodes) 1546938196.378 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938196.378 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938196.378 * * * * [misc]progress: [ 1640 / 5901 ] simplifiying candidate # 1546938196.378 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938196.381 * * [misc]simplify: iters left: 6 (47 enodes) 1546938196.390 * * [misc]simplify: iters left: 5 (123 enodes) 1546938196.413 * * [misc]simplify: iters left: 4 (366 enodes) 1546938196.558 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938196.558 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938196.558 * * * * [misc]progress: [ 1641 / 5901 ] simplifiying candidate # 1546938196.558 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938196.559 * * [misc]simplify: iters left: 6 (42 enodes) 1546938196.567 * * [misc]simplify: iters left: 5 (110 enodes) 1546938196.590 * * [misc]simplify: iters left: 4 (335 enodes) 1546938196.728 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938196.728 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938196.728 * * * * [misc]progress: [ 1642 / 5901 ] simplifiying candidate # 1546938196.728 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938196.729 * * [misc]simplify: iters left: 6 (52 enodes) 1546938196.738 * * [misc]simplify: iters left: 5 (137 enodes) 1546938196.764 * * [misc]simplify: iters left: 4 (461 enodes) 1546938197.027 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 1546938197.028 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938197.028 * * * * [misc]progress: [ 1643 / 5901 ] simplifiying candidate # 1546938197.028 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938197.028 * * [misc]simplify: iters left: 6 (53 enodes) 1546938197.038 * * [misc]simplify: iters left: 5 (144 enodes) 1546938197.066 * * [misc]simplify: iters left: 4 (492 enodes) 1546938197.352 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938197.353 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938197.353 * * * * [misc]progress: [ 1644 / 5901 ] simplifiying candidate # 1546938197.353 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938197.353 * * [misc]simplify: iters left: 6 (53 enodes) 1546938197.363 * * [misc]simplify: iters left: 5 (144 enodes) 1546938197.394 * * [misc]simplify: iters left: 4 (490 enodes) 1546938197.700 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) 1546938197.700 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938197.700 * * * * [misc]progress: [ 1645 / 5901 ] simplifiying candidate # 1546938197.700 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938197.701 * * [misc]simplify: iters left: 6 (47 enodes) 1546938197.709 * * [misc]simplify: iters left: 5 (124 enodes) 1546938197.736 * * [misc]simplify: iters left: 4 (409 enodes) 1546938197.933 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938197.933 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938197.934 * * * * [misc]progress: [ 1646 / 5901 ] simplifiying candidate # 1546938197.934 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938197.934 * * [misc]simplify: iters left: 6 (52 enodes) 1546938197.943 * * [misc]simplify: iters left: 5 (138 enodes) 1546938197.970 * * [misc]simplify: iters left: 4 (433 enodes) 1546938198.164 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938198.164 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938198.164 * * * * [misc]progress: [ 1647 / 5901 ] simplifiying candidate # 1546938198.164 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938198.164 * * [misc]simplify: iters left: 6 (47 enodes) 1546938198.173 * * [misc]simplify: iters left: 5 (124 enodes) 1546938198.196 * * [misc]simplify: iters left: 4 (400 enodes) 1546938198.372 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938198.372 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938198.372 * * * * [misc]progress: [ 1648 / 5901 ] simplifiying candidate # 1546938198.373 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938198.373 * * [misc]simplify: iters left: 6 (52 enodes) 1546938198.383 * * [misc]simplify: iters left: 5 (138 enodes) 1546938198.411 * * [misc]simplify: iters left: 4 (433 enodes) 1546938198.606 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938198.606 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938198.606 * * * * [misc]progress: [ 1649 / 5901 ] simplifiying candidate # 1546938198.606 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938198.606 * * [misc]simplify: iters left: 6 (47 enodes) 1546938198.618 * * [misc]simplify: iters left: 5 (124 enodes) 1546938198.641 * * [misc]simplify: iters left: 4 (400 enodes) 1546938198.820 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938198.820 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938198.820 * * * * [misc]progress: [ 1650 / 5901 ] simplifiying candidate # 1546938198.821 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938198.821 * * [misc]simplify: iters left: 6 (52 enodes) 1546938198.830 * * [misc]simplify: iters left: 5 (136 enodes) 1546938198.856 * * [misc]simplify: iters left: 4 (462 enodes) 1546938199.126 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))))))) 1546938199.127 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938199.127 * * * * [misc]progress: [ 1651 / 5901 ] simplifiying candidate # 1546938199.127 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938199.127 * * [misc]simplify: iters left: 6 (53 enodes) 1546938199.137 * * [misc]simplify: iters left: 5 (143 enodes) 1546938199.166 * * [misc]simplify: iters left: 4 (493 enodes) 1546938199.476 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))))) 1546938199.476 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938199.476 * * * * [misc]progress: [ 1652 / 5901 ] simplifiying candidate # 1546938199.476 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938199.476 * * [misc]simplify: iters left: 6 (53 enodes) 1546938199.486 * * [misc]simplify: iters left: 5 (143 enodes) 1546938199.514 * * [misc]simplify: iters left: 4 (491 enodes) 1546938199.791 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938199.791 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938199.792 * * * * [misc]progress: [ 1653 / 5901 ] simplifiying candidate # 1546938199.792 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938199.792 * * [misc]simplify: iters left: 6 (47 enodes) 1546938199.804 * * [misc]simplify: iters left: 5 (123 enodes) 1546938199.827 * * [misc]simplify: iters left: 4 (410 enodes) 1546938200.024 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938200.024 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938200.024 * * * * [misc]progress: [ 1654 / 5901 ] simplifiying candidate # 1546938200.025 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938200.025 * * [misc]simplify: iters left: 6 (52 enodes) 1546938200.034 * * [misc]simplify: iters left: 5 (137 enodes) 1546938200.060 * * [misc]simplify: iters left: 4 (434 enodes) 1546938200.257 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938200.257 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938200.257 * * * * [misc]progress: [ 1655 / 5901 ] simplifiying candidate # 1546938200.257 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938200.258 * * [misc]simplify: iters left: 6 (47 enodes) 1546938200.266 * * [misc]simplify: iters left: 5 (123 enodes) 1546938200.292 * * [misc]simplify: iters left: 4 (401 enodes) 1546938200.476 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938200.476 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938200.476 * * * * [misc]progress: [ 1656 / 5901 ] simplifiying candidate # 1546938200.477 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938200.477 * * [misc]simplify: iters left: 6 (52 enodes) 1546938200.486 * * [misc]simplify: iters left: 5 (137 enodes) 1546938200.512 * * [misc]simplify: iters left: 4 (434 enodes) 1546938200.717 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938200.717 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938200.717 * * * * [misc]progress: [ 1657 / 5901 ] simplifiying candidate # 1546938200.718 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938200.718 * * [misc]simplify: iters left: 6 (47 enodes) 1546938200.734 * * [misc]simplify: iters left: 5 (123 enodes) 1546938200.776 * * [misc]simplify: iters left: 4 (401 enodes) 1546938200.955 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938200.955 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938200.955 * * * * [misc]progress: [ 1658 / 5901 ] simplifiying candidate # 1546938200.955 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938200.955 * * [misc]simplify: iters left: 6 (52 enodes) 1546938200.965 * * [misc]simplify: iters left: 5 (137 enodes) 1546938200.995 * * [misc]simplify: iters left: 4 (461 enodes) 1546938201.256 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 1546938201.256 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938201.257 * * * * [misc]progress: [ 1659 / 5901 ] simplifiying candidate # 1546938201.257 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938201.257 * * [misc]simplify: iters left: 6 (53 enodes) 1546938201.267 * * [misc]simplify: iters left: 5 (144 enodes) 1546938201.295 * * [misc]simplify: iters left: 4 (492 enodes) 1546938201.581 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938201.581 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938201.581 * * * * [misc]progress: [ 1660 / 5901 ] simplifiying candidate # 1546938201.582 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938201.582 * * [misc]simplify: iters left: 6 (53 enodes) 1546938201.592 * * [misc]simplify: iters left: 5 (144 enodes) 1546938201.622 * * [misc]simplify: iters left: 4 (490 enodes) 1546938201.900 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) 1546938201.900 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938201.901 * * * * [misc]progress: [ 1661 / 5901 ] simplifiying candidate # 1546938201.901 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938201.901 * * [misc]simplify: iters left: 6 (47 enodes) 1546938201.910 * * [misc]simplify: iters left: 5 (124 enodes) 1546938201.934 * * [misc]simplify: iters left: 4 (409 enodes) 1546938202.125 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938202.125 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938202.125 * * * * [misc]progress: [ 1662 / 5901 ] simplifiying candidate # 1546938202.126 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938202.126 * * [misc]simplify: iters left: 6 (52 enodes) 1546938202.135 * * [misc]simplify: iters left: 5 (138 enodes) 1546938202.164 * * [misc]simplify: iters left: 4 (433 enodes) 1546938202.366 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938202.366 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938202.366 * * * * [misc]progress: [ 1663 / 5901 ] simplifiying candidate # 1546938202.366 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938202.366 * * [misc]simplify: iters left: 6 (47 enodes) 1546938202.375 * * [misc]simplify: iters left: 5 (124 enodes) 1546938202.398 * * [misc]simplify: iters left: 4 (400 enodes) 1546938202.573 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938202.574 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938202.574 * * * * [misc]progress: [ 1664 / 5901 ] simplifiying candidate # 1546938202.574 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938202.574 * * [misc]simplify: iters left: 6 (52 enodes) 1546938202.584 * * [misc]simplify: iters left: 5 (138 enodes) 1546938202.610 * * [misc]simplify: iters left: 4 (433 enodes) 1546938202.804 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938202.805 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938202.805 * * * * [misc]progress: [ 1665 / 5901 ] simplifiying candidate # 1546938202.805 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938202.805 * * [misc]simplify: iters left: 6 (47 enodes) 1546938202.814 * * [misc]simplify: iters left: 5 (124 enodes) 1546938202.840 * * [misc]simplify: iters left: 4 (400 enodes) 1546938203.018 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938203.019 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938203.019 * * * * [misc]progress: [ 1666 / 5901 ] simplifiying candidate # 1546938203.019 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938203.019 * * [misc]simplify: iters left: 6 (52 enodes) 1546938203.029 * * [misc]simplify: iters left: 5 (137 enodes) 1546938203.058 * * [misc]simplify: iters left: 4 (463 enodes) 1546938203.325 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) 1546938203.325 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938203.325 * * * * [misc]progress: [ 1667 / 5901 ] simplifiying candidate # 1546938203.325 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938203.326 * * [misc]simplify: iters left: 6 (53 enodes) 1546938203.335 * * [misc]simplify: iters left: 5 (144 enodes) 1546938203.364 * * [misc]simplify: iters left: 4 (494 enodes) 1546938203.645 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938203.646 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3)))) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938203.646 * * * * [misc]progress: [ 1668 / 5901 ] simplifiying candidate # 1546938203.646 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938203.646 * * [misc]simplify: iters left: 6 (53 enodes) 1546938203.658 * * [misc]simplify: iters left: 5 (144 enodes) 1546938203.688 * * [misc]simplify: iters left: 4 (492 enodes) 1546938203.995 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) 1546938203.995 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938203.995 * * * * [misc]progress: [ 1669 / 5901 ] simplifiying candidate # 1546938203.995 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938203.995 * * [misc]simplify: iters left: 6 (47 enodes) 1546938204.004 * * [misc]simplify: iters left: 5 (124 enodes) 1546938204.027 * * [misc]simplify: iters left: 4 (411 enodes) 1546938204.218 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938204.218 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938204.218 * * * * [misc]progress: [ 1670 / 5901 ] simplifiying candidate # 1546938204.219 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938204.219 * * [misc]simplify: iters left: 6 (52 enodes) 1546938204.232 * * [misc]simplify: iters left: 5 (138 enodes) 1546938204.258 * * [misc]simplify: iters left: 4 (435 enodes) 1546938204.454 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938204.454 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (cbrt (+ lambda1 lambda2)) (- (pow phi1 3) (pow phi2 3))) (- phi1 phi2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938204.455 * * * * [misc]progress: [ 1671 / 5901 ] simplifiying candidate # 1546938204.455 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938204.455 * * [misc]simplify: iters left: 6 (47 enodes) 1546938204.463 * * [misc]simplify: iters left: 5 (124 enodes) 1546938204.487 * * [misc]simplify: iters left: 4 (402 enodes) 1546938204.665 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938204.665 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938204.665 * * * * [misc]progress: [ 1672 / 5901 ] simplifiying candidate # 1546938204.665 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938204.666 * * [misc]simplify: iters left: 6 (52 enodes) 1546938204.675 * * [misc]simplify: iters left: 5 (138 enodes) 1546938204.704 * * [misc]simplify: iters left: 4 (435 enodes) 1546938204.900 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) 1546938204.900 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938204.901 * * * * [misc]progress: [ 1673 / 5901 ] simplifiying candidate # 1546938204.901 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938204.901 * * [misc]simplify: iters left: 6 (47 enodes) 1546938204.912 * * [misc]simplify: iters left: 5 (124 enodes) 1546938204.936 * * [misc]simplify: iters left: 4 (402 enodes) 1546938205.117 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938205.117 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938205.117 * * * * [misc]progress: [ 1674 / 5901 ] simplifiying candidate # 1546938205.118 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938205.118 * * [misc]simplify: iters left: 6 (51 enodes) 1546938205.127 * * [misc]simplify: iters left: 5 (139 enodes) 1546938205.155 * * [misc]simplify: iters left: 4 (484 enodes) 1546938205.463 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938205.463 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938205.463 * * * * [misc]progress: [ 1675 / 5901 ] simplifiying candidate # 1546938205.464 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938205.464 * * [misc]simplify: iters left: 6 (52 enodes) 1546938205.474 * * [misc]simplify: iters left: 5 (146 enodes) 1546938205.516 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938205.516 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938205.516 * * * * [misc]progress: [ 1676 / 5901 ] simplifiying candidate # 1546938205.516 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938205.517 * * [misc]simplify: iters left: 6 (52 enodes) 1546938205.526 * * [misc]simplify: iters left: 5 (146 enodes) 1546938205.569 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938205.569 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938205.569 * * * * [misc]progress: [ 1677 / 5901 ] simplifiying candidate # 1546938205.569 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938205.570 * * [misc]simplify: iters left: 6 (46 enodes) 1546938205.578 * * [misc]simplify: iters left: 5 (126 enodes) 1546938205.604 * * [misc]simplify: iters left: 4 (432 enodes) 1546938205.819 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938205.819 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938205.820 * * * * [misc]progress: [ 1678 / 5901 ] simplifiying candidate # 1546938205.820 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938205.820 * * [misc]simplify: iters left: 6 (51 enodes) 1546938205.830 * * [misc]simplify: iters left: 5 (140 enodes) 1546938205.861 * * [misc]simplify: iters left: 4 (456 enodes) 1546938206.077 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938206.077 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938206.077 * * * * [misc]progress: [ 1679 / 5901 ] simplifiying candidate # 1546938206.077 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938206.078 * * [misc]simplify: iters left: 6 (46 enodes) 1546938206.086 * * [misc]simplify: iters left: 5 (126 enodes) 1546938206.110 * * [misc]simplify: iters left: 4 (423 enodes) 1546938206.302 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938206.302 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938206.302 * * * * [misc]progress: [ 1680 / 5901 ] simplifiying candidate # 1546938206.303 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938206.303 * * [misc]simplify: iters left: 6 (51 enodes) 1546938206.312 * * [misc]simplify: iters left: 5 (140 enodes) 1546938206.343 * * [misc]simplify: iters left: 4 (456 enodes) 1546938206.552 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938206.552 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938206.553 * * * * [misc]progress: [ 1681 / 5901 ] simplifiying candidate # 1546938206.553 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938206.553 * * [misc]simplify: iters left: 6 (46 enodes) 1546938206.561 * * [misc]simplify: iters left: 5 (126 enodes) 1546938206.587 * * [misc]simplify: iters left: 4 (423 enodes) 1546938206.783 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938206.783 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938206.783 * * * * [misc]progress: [ 1682 / 5901 ] simplifiying candidate # 1546938206.783 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938206.783 * * [misc]simplify: iters left: 6 (51 enodes) 1546938206.796 * * [misc]simplify: iters left: 5 (137 enodes) 1546938206.822 * * [misc]simplify: iters left: 4 (449 enodes) 1546938207.117 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) 1546938207.117 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))))) (* (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938207.117 * * * * [misc]progress: [ 1683 / 5901 ] simplifiying candidate # 1546938207.117 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938207.118 * * [misc]simplify: iters left: 6 (52 enodes) 1546938207.127 * * [misc]simplify: iters left: 5 (144 enodes) 1546938207.155 * * [misc]simplify: iters left: 4 (479 enodes) 1546938207.433 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938207.433 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938207.433 * * * * [misc]progress: [ 1684 / 5901 ] simplifiying candidate # 1546938207.433 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938207.434 * * [misc]simplify: iters left: 6 (52 enodes) 1546938207.446 * * [misc]simplify: iters left: 5 (144 enodes) 1546938207.474 * * [misc]simplify: iters left: 4 (477 enodes) 1546938207.743 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) 1546938207.743 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2))))) (* (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ (* (+ lambda1 lambda2) lambda1) (* lambda2 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938207.743 * * * * [misc]progress: [ 1685 / 5901 ] simplifiying candidate # 1546938207.744 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938207.744 * * [misc]simplify: iters left: 6 (46 enodes) 1546938207.752 * * [misc]simplify: iters left: 5 (124 enodes) 1546938207.776 * * [misc]simplify: iters left: 4 (395 enodes) 1546938207.955 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938207.955 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (+ phi1 phi2) (- phi1 phi2)) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938207.955 * * * * [misc]progress: [ 1686 / 5901 ] simplifiying candidate # 1546938207.955 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938207.956 * * [misc]simplify: iters left: 6 (51 enodes) 1546938207.965 * * [misc]simplify: iters left: 5 (138 enodes) 1546938207.995 * * [misc]simplify: iters left: 4 (423 enodes) 1546938208.191 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938208.192 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938208.192 * * * * [misc]progress: [ 1687 / 5901 ] simplifiying candidate # 1546938208.192 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938208.192 * * [misc]simplify: iters left: 6 (46 enodes) 1546938208.201 * * [misc]simplify: iters left: 5 (124 enodes) 1546938208.224 * * [misc]simplify: iters left: 4 (391 enodes) 1546938208.399 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938208.399 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (+ phi1 phi2) (- phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (+ phi1 phi2)) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938208.399 * * * * [misc]progress: [ 1688 / 5901 ] simplifiying candidate # 1546938208.400 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938208.400 * * [misc]simplify: iters left: 6 (51 enodes) 1546938208.409 * * [misc]simplify: iters left: 5 (138 enodes) 1546938208.435 * * [misc]simplify: iters left: 4 (423 enodes) 1546938208.629 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938208.629 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938208.629 * * * * [misc]progress: [ 1689 / 5901 ] simplifiying candidate # 1546938208.630 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938208.630 * * [misc]simplify: iters left: 6 (46 enodes) 1546938208.638 * * [misc]simplify: iters left: 5 (124 enodes) 1546938208.665 * * [misc]simplify: iters left: 4 (391 enodes) 1546938208.845 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ phi1 phi2) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938208.845 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (+ phi1 phi2) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938208.846 * * * * [misc]progress: [ 1690 / 5901 ] simplifiying candidate # 1546938208.846 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938208.846 * * [misc]simplify: iters left: 6 (47 enodes) 1546938208.855 * * [misc]simplify: iters left: 5 (126 enodes) 1546938208.879 * * [misc]simplify: iters left: 4 (411 enodes) 1546938209.104 * [exit]simplify: Simplified to (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938209.104 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (- (pow phi1 3) (pow phi2 3)) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938209.105 * * * * [misc]progress: [ 1691 / 5901 ] simplifiying candidate # 1546938209.105 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938209.105 * * [misc]simplify: iters left: 6 (48 enodes) 1546938209.114 * * [misc]simplify: iters left: 5 (133 enodes) 1546938209.143 * * [misc]simplify: iters left: 4 (442 enodes) 1546938209.390 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))))) 1546938209.390 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (- (pow phi1 3) (pow phi2 3))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938209.391 * * * * [misc]progress: [ 1692 / 5901 ] simplifiying candidate # 1546938209.391 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938209.391 * * [misc]simplify: iters left: 6 (48 enodes) 1546938209.403 * * [misc]simplify: iters left: 5 (133 enodes) 1546938209.430 * * [misc]simplify: iters left: 4 (440 enodes) 1546938209.662 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 1546938209.662 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938209.663 * * * * [misc]progress: [ 1693 / 5901 ] simplifiying candidate # 1546938209.663 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938209.663 * * [misc]simplify: iters left: 6 (42 enodes) 1546938209.674 * * [misc]simplify: iters left: 5 (113 enodes) 1546938209.697 * * [misc]simplify: iters left: 4 (359 enodes) 1546938209.858 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 1546938209.859 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938209.859 * * * * [misc]progress: [ 1694 / 5901 ] simplifiying candidate # 1546938209.859 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938209.859 * * [misc]simplify: iters left: 6 (47 enodes) 1546938209.868 * * [misc]simplify: iters left: 5 (127 enodes) 1546938209.896 * * [misc]simplify: iters left: 4 (383 enodes) 1546938210.062 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938210.062 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938210.062 * * * * [misc]progress: [ 1695 / 5901 ] simplifiying candidate # 1546938210.062 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938210.062 * * [misc]simplify: iters left: 6 (42 enodes) 1546938210.070 * * [misc]simplify: iters left: 5 (113 enodes) 1546938210.092 * * [misc]simplify: iters left: 4 (350 enodes) 1546938210.237 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))) 1546938210.237 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938210.238 * * * * [misc]progress: [ 1696 / 5901 ] simplifiying candidate # 1546938210.238 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938210.239 * * [misc]simplify: iters left: 6 (47 enodes) 1546938210.247 * * [misc]simplify: iters left: 5 (127 enodes) 1546938210.272 * * [misc]simplify: iters left: 4 (383 enodes) 1546938210.434 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938210.434 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938210.434 * * * * [misc]progress: [ 1697 / 5901 ] simplifiying candidate # 1546938210.434 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938210.435 * * [misc]simplify: iters left: 6 (42 enodes) 1546938210.442 * * [misc]simplify: iters left: 5 (113 enodes) 1546938210.464 * * [misc]simplify: iters left: 4 (350 enodes) 1546938210.610 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))) 1546938210.611 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2)))) (+ phi1 phi2))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938210.611 * * * * [misc]progress: [ 1698 / 5901 ] simplifiying candidate # 1546938210.611 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938210.612 * * [misc]simplify: iters left: 6 (47 enodes) 1546938210.620 * * [misc]simplify: iters left: 5 (122 enodes) 1546938210.647 * * [misc]simplify: iters left: 4 (397 enodes) 1546938210.854 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938210.854 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* lambda2 (+ lambda1 lambda2)))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938210.854 * * * * [misc]progress: [ 1699 / 5901 ] simplifiying candidate # 1546938210.855 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938210.855 * * [misc]simplify: iters left: 6 (48 enodes) 1546938210.863 * * [misc]simplify: iters left: 5 (129 enodes) 1546938210.888 * * [misc]simplify: iters left: 4 (428 enodes) 1546938211.119 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 1546938211.119 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938211.119 * * * * [misc]progress: [ 1700 / 5901 ] simplifiying candidate # 1546938211.120 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938211.120 * * [misc]simplify: iters left: 6 (48 enodes) 1546938211.129 * * [misc]simplify: iters left: 5 (129 enodes) 1546938211.154 * * [misc]simplify: iters left: 4 (426 enodes) 1546938211.794 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) 1546938211.795 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938211.795 * * * * [misc]progress: [ 1701 / 5901 ] simplifiying candidate # 1546938211.795 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938211.795 * * [misc]simplify: iters left: 6 (42 enodes) 1546938211.803 * * [misc]simplify: iters left: 5 (110 enodes) 1546938211.827 * * [misc]simplify: iters left: 4 (347 enodes) 1546938211.973 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 1546938211.973 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938211.973 * * * * [misc]progress: [ 1702 / 5901 ] simplifiying candidate # 1546938211.973 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938211.974 * * [misc]simplify: iters left: 6 (47 enodes) 1546938211.982 * * [misc]simplify: iters left: 5 (124 enodes) 1546938212.006 * * [misc]simplify: iters left: 4 (365 enodes) 1546938212.154 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938212.155 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938212.155 * * * * [misc]progress: [ 1703 / 5901 ] simplifiying candidate # 1546938212.155 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938212.155 * * [misc]simplify: iters left: 6 (42 enodes) 1546938212.163 * * [misc]simplify: iters left: 5 (111 enodes) 1546938212.183 * * [misc]simplify: iters left: 4 (334 enodes) 1546938212.319 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938212.319 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938212.319 * * * * [misc]progress: [ 1704 / 5901 ] simplifiying candidate # 1546938212.319 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938212.320 * * [misc]simplify: iters left: 6 (47 enodes) 1546938212.328 * * [misc]simplify: iters left: 5 (124 enodes) 1546938212.353 * * [misc]simplify: iters left: 4 (365 enodes) 1546938212.500 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938212.500 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938212.500 * * * * [misc]progress: [ 1705 / 5901 ] simplifiying candidate # 1546938212.500 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938212.500 * * [misc]simplify: iters left: 6 (42 enodes) 1546938212.508 * * [misc]simplify: iters left: 5 (111 enodes) 1546938212.529 * * [misc]simplify: iters left: 4 (334 enodes) 1546938212.665 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938212.665 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938212.665 * * * * [misc]progress: [ 1706 / 5901 ] simplifiying candidate # 1546938212.665 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938212.666 * * [misc]simplify: iters left: 6 (52 enodes) 1546938212.675 * * [misc]simplify: iters left: 5 (137 enodes) 1546938212.708 * * [misc]simplify: iters left: 4 (458 enodes) 1546938212.976 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 1546938212.976 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938212.976 * * * * [misc]progress: [ 1707 / 5901 ] simplifiying candidate # 1546938212.976 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938212.977 * * [misc]simplify: iters left: 6 (53 enodes) 1546938212.986 * * [misc]simplify: iters left: 5 (144 enodes) 1546938213.015 * * [misc]simplify: iters left: 4 (489 enodes) 1546938213.314 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938213.314 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938213.315 * * * * [misc]progress: [ 1708 / 5901 ] simplifiying candidate # 1546938213.315 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938213.315 * * [misc]simplify: iters left: 6 (53 enodes) 1546938213.325 * * [misc]simplify: iters left: 5 (144 enodes) 1546938213.355 * * [misc]simplify: iters left: 4 (487 enodes) 1546938213.629 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) 1546938213.630 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938213.630 * * * * [misc]progress: [ 1709 / 5901 ] simplifiying candidate # 1546938213.630 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938213.630 * * [misc]simplify: iters left: 6 (47 enodes) 1546938213.638 * * [misc]simplify: iters left: 5 (124 enodes) 1546938213.663 * * [misc]simplify: iters left: 4 (406 enodes) 1546938213.852 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938213.852 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (+ lambda1 lambda2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938213.852 * * * * [misc]progress: [ 1710 / 5901 ] simplifiying candidate # 1546938213.852 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938213.852 * * [misc]simplify: iters left: 6 (52 enodes) 1546938213.862 * * [misc]simplify: iters left: 5 (138 enodes) 1546938213.891 * * [misc]simplify: iters left: 4 (430 enodes) 1546938214.095 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546938214.095 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938214.099 * * * * [misc]progress: [ 1711 / 5901 ] simplifiying candidate # 1546938214.100 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938214.100 * * [misc]simplify: iters left: 6 (47 enodes) 1546938214.110 * * [misc]simplify: iters left: 5 (124 enodes) 1546938214.134 * * [misc]simplify: iters left: 4 (397 enodes) 1546938214.319 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938214.319 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938214.319 * * * * [misc]progress: [ 1712 / 5901 ] simplifiying candidate # 1546938214.319 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938214.319 * * [misc]simplify: iters left: 6 (52 enodes) 1546938214.329 * * [misc]simplify: iters left: 5 (138 enodes) 1546938214.355 * * [misc]simplify: iters left: 4 (430 enodes) 1546938214.554 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) 1546938214.554 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (* (+ lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938214.554 * * * * [misc]progress: [ 1713 / 5901 ] simplifiying candidate # 1546938214.554 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938214.554 * * [misc]simplify: iters left: 6 (47 enodes) 1546938214.568 * * [misc]simplify: iters left: 5 (124 enodes) 1546938214.618 * * [misc]simplify: iters left: 4 (397 enodes) 1546938214.804 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938214.804 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938214.805 * * * * [misc]progress: [ 1714 / 5901 ] simplifiying candidate # 1546938214.805 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938214.805 * * [misc]simplify: iters left: 6 (52 enodes) 1546938214.818 * * [misc]simplify: iters left: 5 (137 enodes) 1546938214.845 * * [misc]simplify: iters left: 4 (461 enodes) 1546938215.114 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) 1546938215.115 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938215.115 * * * * [misc]progress: [ 1715 / 5901 ] simplifiying candidate # 1546938215.115 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938215.115 * * [misc]simplify: iters left: 6 (53 enodes) 1546938215.125 * * [misc]simplify: iters left: 5 (144 enodes) 1546938215.153 * * [misc]simplify: iters left: 4 (492 enodes) 1546938215.440 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938215.440 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938215.440 * * * * [misc]progress: [ 1716 / 5901 ] simplifiying candidate # 1546938215.440 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938215.441 * * [misc]simplify: iters left: 6 (53 enodes) 1546938215.450 * * [misc]simplify: iters left: 5 (144 enodes) 1546938215.480 * * [misc]simplify: iters left: 4 (490 enodes) 1546938215.757 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))))) 1546938215.757 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (* (- phi1 phi2) (+ phi1 phi2)) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938215.758 * * * * [misc]progress: [ 1717 / 5901 ] simplifiying candidate # 1546938215.758 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938215.758 * * [misc]simplify: iters left: 6 (47 enodes) 1546938215.766 * * [misc]simplify: iters left: 5 (124 enodes) 1546938215.794 * * [misc]simplify: iters left: 4 (409 enodes) 1546938215.988 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938215.988 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938215.988 * * * * [misc]progress: [ 1718 / 5901 ] simplifiying candidate # 1546938215.988 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938215.989 * * [misc]simplify: iters left: 6 (52 enodes) 1546938215.998 * * [misc]simplify: iters left: 5 (138 enodes) 1546938216.024 * * [misc]simplify: iters left: 4 (433 enodes) 1546938216.249 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938216.249 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938216.249 * * * * [misc]progress: [ 1719 / 5901 ] simplifiying candidate # 1546938216.249 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938216.250 * * [misc]simplify: iters left: 6 (47 enodes) 1546938216.258 * * [misc]simplify: iters left: 5 (124 enodes) 1546938216.285 * * [misc]simplify: iters left: 4 (400 enodes) 1546938216.464 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938216.464 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938216.464 * * * * [misc]progress: [ 1720 / 5901 ] simplifiying candidate # 1546938216.464 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938216.465 * * [misc]simplify: iters left: 6 (52 enodes) 1546938216.477 * * [misc]simplify: iters left: 5 (138 enodes) 1546938216.503 * * [misc]simplify: iters left: 4 (433 enodes) 1546938216.700 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938216.700 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (- (pow phi1 3) (pow phi2 3)) (cbrt (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938216.700 * * * * [misc]progress: [ 1721 / 5901 ] simplifiying candidate # 1546938216.700 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938216.700 * * [misc]simplify: iters left: 6 (47 enodes) 1546938216.709 * * [misc]simplify: iters left: 5 (124 enodes) 1546938216.733 * * [misc]simplify: iters left: 4 (400 enodes) 1546938216.915 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938216.915 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2))))) (* (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938216.915 * * * * [misc]progress: [ 1722 / 5901 ] simplifiying candidate # 1546938216.915 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938216.916 * * [misc]simplify: iters left: 6 (52 enodes) 1546938216.925 * * [misc]simplify: iters left: 5 (138 enodes) 1546938216.955 * * [misc]simplify: iters left: 4 (459 enodes) 1546938217.220 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) 1546938217.220 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938217.220 * * * * [misc]progress: [ 1723 / 5901 ] simplifiying candidate # 1546938217.220 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938217.220 * * [misc]simplify: iters left: 6 (53 enodes) 1546938217.230 * * [misc]simplify: iters left: 5 (145 enodes) 1546938217.259 * * [misc]simplify: iters left: 4 (490 enodes) 1546938217.540 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938217.540 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2)) (- (pow lambda1 3) (pow lambda2 3))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938217.540 * * * * [misc]progress: [ 1724 / 5901 ] simplifiying candidate # 1546938217.540 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938217.541 * * [misc]simplify: iters left: 6 (53 enodes) 1546938217.550 * * [misc]simplify: iters left: 5 (145 enodes) 1546938217.580 * * [misc]simplify: iters left: 4 (488 enodes) 1546938217.887 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938217.887 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2)))) (cbrt (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938217.888 * * * * [misc]progress: [ 1725 / 5901 ] simplifiying candidate # 1546938217.888 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938217.888 * * [misc]simplify: iters left: 6 (47 enodes) 1546938217.896 * * [misc]simplify: iters left: 5 (125 enodes) 1546938217.921 * * [misc]simplify: iters left: 4 (407 enodes) 1546938218.108 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938218.108 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1))))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938218.108 * * * * [misc]progress: [ 1726 / 5901 ] simplifiying candidate # 1546938218.109 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938218.109 * * [misc]simplify: iters left: 6 (52 enodes) 1546938218.118 * * [misc]simplify: iters left: 5 (139 enodes) 1546938218.148 * * [misc]simplify: iters left: 4 (431 enodes) 1546938218.349 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938218.350 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938218.350 * * * * [misc]progress: [ 1727 / 5901 ] simplifiying candidate # 1546938218.350 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938218.350 * * [misc]simplify: iters left: 6 (47 enodes) 1546938218.359 * * [misc]simplify: iters left: 5 (125 enodes) 1546938218.386 * * [misc]simplify: iters left: 4 (398 enodes) 1546938218.564 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938218.564 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938218.564 * * * * [misc]progress: [ 1728 / 5901 ] simplifiying candidate # 1546938218.565 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938218.565 * * [misc]simplify: iters left: 6 (52 enodes) 1546938218.575 * * [misc]simplify: iters left: 5 (139 enodes) 1546938218.604 * * [misc]simplify: iters left: 4 (431 enodes) 1546938218.797 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938218.797 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938218.797 * * * * [misc]progress: [ 1729 / 5901 ] simplifiying candidate # 1546938218.798 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938218.798 * * [misc]simplify: iters left: 6 (47 enodes) 1546938218.806 * * [misc]simplify: iters left: 5 (125 enodes) 1546938218.833 * * [misc]simplify: iters left: 4 (398 enodes) 1546938219.009 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938219.009 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- phi1 phi2) (* (+ phi1 phi2) (- phi1 phi2)))) (cbrt (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (pow lambda1 3) (pow lambda2 3)) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))))) (+ phi1 phi2)))))) 1546938219.009 * * * * [misc]progress: [ 1730 / 5901 ] simplifiying candidate # 1546938219.010 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938219.010 * * [misc]simplify: iters left: 6 (52 enodes) 1546938219.019 * * [misc]simplify: iters left: 5 (138 enodes) 1546938219.050 * * [misc]simplify: iters left: 4 (462 enodes) 1546938219.337 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) 1546938219.337 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (* (- lambda1 lambda2) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2))))) (* (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2)))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938219.337 * * * * [misc]progress: [ 1731 / 5901 ] simplifiying candidate # 1546938219.337 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938219.338 * * [misc]simplify: iters left: 6 (53 enodes) 1546938219.347 * * [misc]simplify: iters left: 5 (145 enodes) 1546938219.377 * * [misc]simplify: iters left: 4 (493 enodes) 1546938219.660 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938219.660 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- (pow phi1 3) (pow phi2 3))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938219.660 * * * * [misc]progress: [ 1732 / 5901 ] simplifiying candidate # 1546938219.660 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938219.660 * * [misc]simplify: iters left: 6 (53 enodes) 1546938219.670 * * [misc]simplify: iters left: 5 (145 enodes) 1546938219.698 * * [misc]simplify: iters left: 4 (491 enodes) 1546938219.971 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938219.972 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* (+ lambda1 lambda2) lambda2) (* lambda1 lambda1)) (+ lambda1 lambda2)))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (* phi2 (+ phi1 phi2))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938219.972 * * * * [misc]progress: [ 1733 / 5901 ] simplifiying candidate # 1546938219.972 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938219.972 * * [misc]simplify: iters left: 6 (47 enodes) 1546938219.980 * * [misc]simplify: iters left: 5 (125 enodes) 1546938220.007 * * [misc]simplify: iters left: 4 (410 enodes) 1546938220.196 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) 1546938220.196 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (+ lambda1 lambda2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 lambda2) (* (+ lambda1 lambda2) lambda1)) (+ lambda1 lambda2)))) (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938220.196 * * * * [misc]progress: [ 1734 / 5901 ] simplifiying candidate # 1546938220.197 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938220.200 * * [misc]simplify: iters left: 6 (52 enodes) 1546938220.209 * * [misc]simplify: iters left: 5 (139 enodes) 1546938220.236 * * [misc]simplify: iters left: 4 (434 enodes) 1546938220.433 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938220.433 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938220.433 * * * * [misc]progress: [ 1735 / 5901 ] simplifiying candidate # 1546938220.434 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938220.434 * * [misc]simplify: iters left: 6 (47 enodes) 1546938220.442 * * [misc]simplify: iters left: 5 (125 enodes) 1546938220.466 * * [misc]simplify: iters left: 4 (401 enodes) 1546938220.642 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938220.642 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2))))) (* (* (+ phi1 phi2) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938220.643 * * * * [misc]progress: [ 1736 / 5901 ] simplifiying candidate # 1546938220.643 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938220.643 * * [misc]simplify: iters left: 6 (52 enodes) 1546938220.652 * * [misc]simplify: iters left: 5 (139 enodes) 1546938220.682 * * [misc]simplify: iters left: 4 (434 enodes) 1546938220.905 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) 1546938220.905 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (* (cbrt (+ lambda1 lambda2)) (- phi1 phi2)))) (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2)))) (* (* (+ (* phi1 (+ phi1 phi2)) (* phi2 phi2)) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2))) (cos (/ (+ phi1 phi2) 2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938220.906 * * * * [misc]progress: [ 1737 / 5901 ] simplifiying candidate # 1546938220.906 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938220.906 * * [misc]simplify: iters left: 6 (47 enodes) 1546938220.915 * * [misc]simplify: iters left: 5 (125 enodes) 1546938220.939 * * [misc]simplify: iters left: 4 (401 enodes) 1546938221.117 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938221.118 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (+ phi1 phi2) (* (- phi1 phi2) (- phi1 phi2)))) (cbrt (+ lambda1 lambda2)))) (* (* (+ phi1 phi2) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (cbrt (+ lambda1 lambda2))) (+ phi1 phi2)))))) 1546938221.118 * * * * [misc]progress: [ 1738 / 5901 ] simplifiying candidate # 1546938221.118 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938221.118 * * [misc]simplify: iters left: 6 (47 enodes) 1546938221.126 * * [misc]simplify: iters left: 5 (122 enodes) 1546938221.150 * * [misc]simplify: iters left: 4 (400 enodes) 1546938221.364 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938221.364 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938221.365 * * * * [misc]progress: [ 1739 / 5901 ] simplifiying candidate # 1546938221.365 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938221.365 * * [misc]simplify: iters left: 6 (48 enodes) 1546938221.378 * * [misc]simplify: iters left: 5 (129 enodes) 1546938221.403 * * [misc]simplify: iters left: 4 (431 enodes) 1546938221.635 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 1546938221.635 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938221.635 * * * * [misc]progress: [ 1740 / 5901 ] simplifiying candidate # 1546938221.635 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938221.636 * * [misc]simplify: iters left: 6 (48 enodes) 1546938221.648 * * [misc]simplify: iters left: 5 (129 enodes) 1546938221.675 * * [misc]simplify: iters left: 4 (429 enodes) 1546938221.899 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 1546938221.899 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938221.899 * * * * [misc]progress: [ 1741 / 5901 ] simplifiying candidate # 1546938221.899 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938221.899 * * [misc]simplify: iters left: 6 (42 enodes) 1546938221.907 * * [misc]simplify: iters left: 5 (109 enodes) 1546938221.933 * * [misc]simplify: iters left: 4 (348 enodes) 1546938222.084 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 1546938222.084 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938222.084 * * * * [misc]progress: [ 1742 / 5901 ] simplifiying candidate # 1546938222.084 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938222.085 * * [misc]simplify: iters left: 6 (47 enodes) 1546938222.093 * * [misc]simplify: iters left: 5 (123 enodes) 1546938222.116 * * [misc]simplify: iters left: 4 (372 enodes) 1546938222.270 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938222.270 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938222.270 * * * * [misc]progress: [ 1743 / 5901 ] simplifiying candidate # 1546938222.271 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938222.271 * * [misc]simplify: iters left: 6 (42 enodes) 1546938222.278 * * [misc]simplify: iters left: 5 (109 enodes) 1546938222.303 * * [misc]simplify: iters left: 4 (339 enodes) 1546938222.452 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938222.452 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938222.452 * * * * [misc]progress: [ 1744 / 5901 ] simplifiying candidate # 1546938222.452 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938222.453 * * [misc]simplify: iters left: 6 (47 enodes) 1546938222.461 * * [misc]simplify: iters left: 5 (123 enodes) 1546938222.487 * * [misc]simplify: iters left: 4 (372 enodes) 1546938222.645 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938222.645 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938222.646 * * * * [misc]progress: [ 1745 / 5901 ] simplifiying candidate # 1546938222.646 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938222.646 * * [misc]simplify: iters left: 6 (42 enodes) 1546938222.654 * * [misc]simplify: iters left: 5 (109 enodes) 1546938222.674 * * [misc]simplify: iters left: 4 (339 enodes) 1546938222.817 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938222.817 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ phi1 phi2)))))) 1546938222.817 * * * * [misc]progress: [ 1746 / 5901 ] simplifiying candidate # 1546938222.818 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938222.818 * * [misc]simplify: iters left: 6 (47 enodes) 1546938222.826 * * [misc]simplify: iters left: 5 (123 enodes) 1546938222.853 * * [misc]simplify: iters left: 4 (408 enodes) 1546938223.071 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938223.071 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) (* (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938223.071 * * * * [misc]progress: [ 1747 / 5901 ] simplifiying candidate # 1546938223.071 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938223.071 * * [misc]simplify: iters left: 6 (48 enodes) 1546938223.080 * * [misc]simplify: iters left: 5 (130 enodes) 1546938223.107 * * [misc]simplify: iters left: 4 (439 enodes) 1546938223.344 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) 1546938223.344 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* phi1 (+ phi1 phi2)))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2)))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938223.344 * * * * [misc]progress: [ 1748 / 5901 ] simplifiying candidate # 1546938223.345 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938223.345 * * [misc]simplify: iters left: 6 (48 enodes) 1546938223.353 * * [misc]simplify: iters left: 5 (130 enodes) 1546938223.380 * * [misc]simplify: iters left: 4 (437 enodes) 1546938223.612 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 1546938223.612 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ (* phi2 phi2) (* (+ phi1 phi2) phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938223.612 * * * * [misc]progress: [ 1749 / 5901 ] simplifiying candidate # 1546938223.613 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938223.613 * * [misc]simplify: iters left: 6 (42 enodes) 1546938223.621 * * [misc]simplify: iters left: 5 (110 enodes) 1546938223.642 * * [misc]simplify: iters left: 4 (356 enodes) 1546938223.793 * [exit]simplify: Simplified to (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) 1546938223.793 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (pow lambda1 3) (pow lambda2 3)) (+ lambda1 lambda2))) (* (cos (/ (+ phi1 phi2) 2)) (- lambda1 lambda2)))))) (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2)))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938223.794 * * * * [misc]progress: [ 1750 / 5901 ] simplifiying candidate # 1546938223.794 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938223.794 * * [misc]simplify: iters left: 6 (47 enodes) 1546938223.803 * * [misc]simplify: iters left: 5 (124 enodes) 1546938223.826 * * [misc]simplify: iters left: 4 (380 enodes) 1546938223.996 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938223.996 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938223.996 * * * * [misc]progress: [ 1751 / 5901 ] simplifiying candidate # 1546938223.996 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938223.996 * * [misc]simplify: iters left: 6 (42 enodes) 1546938224.006 * * [misc]simplify: iters left: 5 (110 enodes) 1546938224.027 * * [misc]simplify: iters left: 4 (347 enodes) 1546938224.169 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938224.169 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (- phi1 phi2)) (+ phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938224.169 * * * * [misc]progress: [ 1752 / 5901 ] simplifiying candidate # 1546938224.170 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2))))) 1546938224.170 * * [misc]simplify: iters left: 6 (47 enodes) 1546938224.178 * * [misc]simplify: iters left: 5 (124 enodes) 1546938224.202 * * [misc]simplify: iters left: 4 (380 enodes) 1546938224.358 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) 1546938224.358 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (* (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (+ (* phi2 phi2) (* phi1 (+ phi1 phi2))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938224.358 * * * * [misc]progress: [ 1753 / 5901 ] simplifiying candidate # 1546938224.359 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (* (- (* phi1 phi1) (* phi2 phi2)) (- phi1 phi2))))) 1546938224.359 * * [misc]simplify: iters left: 6 (42 enodes) 1546938224.366 * * [misc]simplify: iters left: 5 (110 enodes) 1546938224.387 * * [misc]simplify: iters left: 4 (347 enodes) 1546938224.528 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) 1546938224.528 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 lambda2) (* lambda1 (+ lambda1 lambda2))) (+ lambda1 lambda2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (* (- phi1 phi2) (+ phi1 phi2)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ phi1 phi2) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))) (cos (/ (+ phi1 phi2) 2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2))) (+ lambda1 lambda2)))) (+ phi1 phi2)))))) 1546938224.529 * * * * [misc]progress: [ 1754 / 5901 ] simplifiying candidate # 1546938224.529 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))))) 1546938224.529 * * [misc]simplify: iters left: 6 (47 enodes) 1546938224.538 * * [misc]simplify: iters left: 5 (124 enodes) 1546938224.566 * * [misc]simplify: iters left: 4 (407 enodes) 1546938224.785 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938224.785 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (- (pow phi1 3) (pow phi2 3)) (- (pow phi1 3) (pow phi2 3)))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (* (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3))))))) (* (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (+ lambda1 lambda2) (- lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938224.785 * * * * [misc]progress: [ 1755 / 5901 ] simplifiying candidate # 1546938224.785 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938224.786 * * [misc]simplify: iters left: 6 (48 enodes) 1546938224.794 * * [misc]simplify: iters left: 5 (131 enodes) 1546938224.821 * * [misc]simplify: iters left: 4 (438 enodes) 1546938225.059 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 1546938225.059 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (cos (/ (+ phi1 phi2) 2)) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))) (+ phi1 phi2))))))) 1546938225.059 * * * * [misc]progress: [ 1756 / 5901 ] simplifiying candidate # 1546938225.059 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (pow phi1 3) (pow phi2 3)))))) 1546938225.060 * * [misc]simplify: iters left: 6 (48 enodes) 1546938225.069 * * [misc]simplify: iters left: 5 (131 enodes) 1546938225.097 * * [misc]simplify: iters left: 4 (436 enodes) 1546938225.327 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) 1546938225.327 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (cos (/ (+ phi1 phi2) 2)) (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow lambda1 3) (pow lambda2 3))) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (cbrt (* (+ (* lambda2 (+ lambda1 lambda2)) (* lambda1 lambda1)) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- (* phi1 phi1) (* phi2 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2))))))))) 1546938225.327 * * * * [misc]progress: [ 1757 / 5901 ] simplifiying candidate # 1546938225.327 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (* (+ phi1 phi2) (+ phi1 phi2))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- (* phi1 phi1) (* phi2 phi2)) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938225.328 * * [misc]simplify: iters left: 6 (42 enodes) 1546938225.335 * * [misc]simplify: iters left: 5 (111 enodes) 1546938225.357 * * [misc]simplify: iters left: 4 (355 enodes) 1546938225.512 * [exit]simplify: Simplified to (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) 1546938225.512 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (* (* (+ phi1 phi2) (+ phi1 phi2)) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))))) (* (* (* (* (- phi1 phi2) (+ phi1 phi2)) (* (- phi1 phi2) (+ phi1 phi2))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 (+ lambda1 lambda2)) (* lambda2 lambda2))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (+ phi1 phi2) (+ phi1 phi2))))))) 1546938225.512 * * * * [misc]progress: [ 1758 / 5901 ] simplifiying candidate # 1546938225.513 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (pow phi1 3) (pow phi2 3)))))) 1546938225.513 * * [misc]simplify: iters left: 6 (47 enodes) 1546938225.521 * * [misc]simplify: iters left: 5 (125 enodes) 1546938225.545 * * [misc]simplify: iters left: 4 (379 enodes) 1546938225.698 * [exit]simplify: Simplified to (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) 1546938225.699 * [misc]simplify: Simplified (2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* R (/ (sqrt (+ (* (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (* (+ lambda1 lambda2) lambda2)))) (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (* (* (- (pow phi1 3) (pow phi2 3)) (- phi1 phi2)) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))))) (* (* (+ (* phi2 (+ phi1 phi2)) (* phi1 phi1)) (cbrt (* (* (cos (/ (+ phi1 phi2) 2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (- (pow lambda1 3) (pow lambda2 3)))))) (* (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (* (- lambda1 lambda2) (+ lambda1 lambda2)) (cos (/ (+ phi1 phi2) 2))))))))) (sqrt (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (+ (* phi1 phi1) (+ (* phi2 phi2) (* phi1 phi2)))))))) 1546938225.699 * * * * [misc]progress: [ 1759 / 5901 ] simplifiying candidate # 1546938225.699 * [enter]simplify: Simplifying (sqrt (+ (* (* (* (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2)))))) (cbrt (* (* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi1 phi2) 2))) (* (- (pow lambda1 3) (pow lambda2 3)) (cos (/ (+ phi1 phi2) 2)))))) (+ phi1 phi2)) (* (* (* (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2))) (cbrt (* (+ lambda1 lambda2) (+ lambda1 lambda2)))) (cbrt (* (+ lambda1 lambda2) (+ (* lambda1 lambda1) (+ (* lambda2 lambda2) (* lambda1 lambda2)))))) (* (- phi1 phi2) (- (* phi1 phi1) (* phi2 phi2)))))) 1546938225.699 * * [misc]simplify: iters left: 6 (42 enodes) 1546938225.709 * * [misc]simplify: iters left: 5 (111 enodes) 1546938225.731 * * [misc]simplify: iters left: 4 (346 enodes)